Answers
Answer:
145236 4236. b. fjdjfjfjfjfjdjfjfjfjfjfnfjfjfjfnfjgjfjfnfjf
Related Questions
Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use. If the police team stops 30 cars during the first hour, what is the standard deviation?
Answers
If Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use. If the police team stops 30 cars during the first hour, the standard deviation is 2.191.
How to find the standard deviation?Using this formula to find the Standard deviation
Standard deviation = √ Sample size × Estimated drivers × (1 - Estimated drivers)
Let plug in the formula
Standard deviation = √ 30 × 0.20 × (1- 0.20)
Standard deviation = √ 30 × 0.20 × 0.80
Standard deviation = √ 4.8
Standard deviation = 2.191
Therefore we can conclude that the standard deviation is 2.191.
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StarWatch Camping Site
The holiday is just 9 weeks away and they
each plan to save £13 per week from now
Charge per person: £6 per night
until their holiday.
Will they save enough money to cover all
Tent pitch:
≤ 10 mª at £15 per night
their camping site charges?
(ground surface)
If the answer is 'yes' say how much extra
>
10 mª at £18 per night
money they will save.
You must show all your working.
Special offer:
For
every 5 nights you
stay, only pay for 4.
Lila and Wassim are planning a stay
at the StarWatch camping site.
They will:
share a tent between them,
both stay for a total of 10 nights,
use a tent with a rectangular base
measuring 2.3 by 4.2 metres.
Answers
Answer:
The total cost of their stay at the StarWatch camping site will be £108. This includes the special offer of 5 nights for the price of 4.
Lila and Wassim have saved £130 by the time of their holiday. This means they have saved £22 extra.
A bridge is to be built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41° W. From a tree x = 90 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively. Find the distance from the gazebo to the dock. (Round your answer to the nearest whole number.)
Answers
Solving the triangle we found the distance between the gazebo and the dock is: 69.34 meters. The answer is explained below:
Solving the triangle:The first thing to know is that to solve any triangle you must know at least one side and two other elements that can be sides or angles, that is, at least three elements of the six that make up a triangle.
Now, in the problem we know the value of one side (90 m) and 3 angles (see attached image), therefore the calculation of the distance (one side) is very easy if we apply the law of sines:
According to the Law of Sines, the ratio of the length of the sides of a triangle (not a rectangle) and their respective opposite angle sines, is the same value. Then:
Unknown variable = distancia (d)Opposite angle = 46°d / sen (46°) = 90 m / sen (69 °)
After, we pass sen (46°) to the second term of the equation.
d= sen(46°)*90 m / sen (69°)
d = 0,7193*90/ 0,9335
d = 69,34 m
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What is an equation of the line that passes through the point (6,-4)(6,−4) and is perpendicular to the line 2x-y=52x−y=5?
Answers
The line that connects the coordinates (6, 4) and is perpendicular to the line 2xy=5 has the equation =y=1/2x-1.
What are straight-line equations?The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).
The variables x and y are related to coordinates on the line in the linear equation y = mx + c.
The formula y = mx + c yields a result for y when we enter a value for x.
As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.
According to our question-
a line equation that is perpendicular to the line 2xy=5 and passes through the point (6, 4)
The slope of the given equation 2x-y=5 is first determined.
The line's equation is y=mx+b. where'm' represents the slope
Hence, The line that connects the coordinates (6, 4) and is perpendicular to the line 2xy=5 has the equation =y=1/2x-1.
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There were some fiction and non fiction books in a second hand bookstore. The number of fiction bookw was 3/5 of non fiction bookw. After an equal number of fiction and non fiction books were sold,the ratio of the number of fiction books to the number of non fiction books left was 5:9. There were 240 books altogether at first. How many books were sold altogether?
Answers
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.
What is equation ?Give nonfiction books an x-factor.
Since there are three times as many fiction books as nonfiction books, we have a 3x/5 ratio, according to the question.
Due to the fact that they initially only sold two of these sorts and the fact that there were 240 volumes overall,
Due to this, the equation will be framed.
3x/5+x=240
So 8x/5=240
x=150 ( Number of non fiction books) ( no of non fiction books)
90 novels are so required.
Right at the start, this was a number.
Allow the number of books sold to increase.
In light of this, the equation is
Since there were 5:9 books in each category (fiction and nonfiction),
(90-y)/(150-y)=5/9
y=15
Therefore, the answer is 15.
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How do the interior and exterior angles of a polygon relate? *
They are congruent
O They are supplementary
O They are complementary
There is no relations
Answers
The relationship between the interior and exterior angles of a polygon is they are supplementary.
What is a regular polygon?
If a polygon has equal sides and angles, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a square is a regular quadrilateral.
Here,
we have to show how the interior and exterior angles of a polygon relate to each other.
A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.
As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).
Hence, the relationship between the interior and exterior angles of a polygon is they are supplementary.
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A passenger jet flies from one airport to another 1,213 miles away in 2.7 h. Find its average speed.
Answers
Answer:m/s
Step-by-step explanation:
Answer:
To find the average speed of the passenger jet, we need to divide the distance traveled by the time it took to travel that distance.
Average speed = distance / time
In this case, the distance is 1,213 miles and the time is 2.7 h.
Average speed = 1213 miles / 2.7 h = 449.6 miles/h
So the average speed of the passenger jet is 449.6 miles per hour.
write an equation in slope-intercept form of the line given the slope- 1/4 pass through (-2,1).
Answers
On solving the question we can say that slope intercept form of the equation is y = -1/4x +1/2
What is Slope Intercept form ?One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.
The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.
Any location that is not on the line will not fulfill the coordinates.
This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.
The line passes through (-2,1)
slope = -1/4
The equation of the line
y = mx + c
here m is the slope and c is the intercept.
putting the point and slope in the equation
1 = -1/4 *(-2) + c
⇒ c = 1/2
So the slope intercept form of the equation is
y = -1/4x +1/2
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Situation: Rocco jogs and then walks at the park. Today, he has already jogged 4 miles.
He then starts counting the miles he walks at a constant rate of 3 miles every
2 hours. What is the total distance Rocco travels at the park?
1) Equation:
Where x is:
Where y is:
2) Fill in all empty cells
in the table of values.
3) Proportional or
nonproportional:
Answers
Part 1: Where x is: time in hours. Where y is: distance in miles.
Part 2: The table is filled for the values of time and distance.
Part 3: y/x is fixed equation is proportional.
Explain the term total distance?Total distance refers to the actual travel distance between the origin and destination locations of the material.
The formula for the distance is:
Distance = speed * time
Part 1:
The equation formed for the stated condition is:
y = 3x.
Where x is: time in hours.
Where y is: distance in miles.
Part 2: The table is filled for the values of time and distance.
Part 3:
For the equation.
y = 3x.
x = 1, y = 3 : y/x = 3
x = 2, y = 6 ; y/x = 3
As, y/x is fixed equation is proportional.
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The complete question with table is attached.
A quadratic equation has solutions of (4+i) and (4−i). Which could represent the quadratic equation?
Answers
The quadratic equation with solutions of (4 + i) and (4- i) is,
⇒ x² - 8x + 17 = 0
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The solutions of the quadratic equation are,
⇒ (4 + i) and (4- i)
Now, We know that;
A quadratic equation with roots a and b is,
⇒ x² - (a + b)x + a × b = 0
Hence, A quadratic equation with roots (4 + i) and (4 - i) is,
⇒ x² - (4 + i + 4 - i)x + (4 + i) (4 - i) = 0
⇒ x² - 8x + (4² - i²) = 0
⇒ x² - 8x + 16 + 1 = 0
⇒ x² - 8x + 17 = 0
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Brianna has a loyalty card good for a 10% discount at her local hardware store. If the
total cost, before tax and discount, of all the items she wants to buy is c, which
expression represents the cost after the discount?
Answers
(1-0.2)C expression represents the cost after the discount
How to find discounted price?Discount pricing' refers to a range of strategies where the price of a product or service is decreased in the interest of generating interest, unloading excess inventory, or boosting sales. The effectiveness of discount pricing rests on consumers' perception that they're 'getting a good deal' for an offering.The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.The discount rate is the interest rate used to determine the present value of future cash flows in a discounted cash flow (DCF) analysis. This helps determine if the future cash flows from a project or investment will be worth more than the capital outlay needed to fund the project or investment in the presentTo learn more about discounted price refers to:
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The graph of the function f shown in the figure above has horizontal tangents atx=3 and x=6. Ifg(x)=∫02xf(t)dtwhat is the value ofg′(3)?(A) 0 (B)−1(C)−2(D)−3(E)−6
Answers
The horizontal tangents at x=3 and x=6 on the graph of the function f are shown in the given image. If [tex]g(x)=\int\limits^{2x}_0 {f(t)}\;dt[/tex], then g'(3) is -2. Then, option (C) is correct.
A function's zero slopes is indicated by a horizontal tangent line that runs parallel to the x-axis. The given graph of function f has horizontal tangents at x =3 and x = 6. Then, the given function is [tex]g(x)=\int\limits^{2x}_0 {f(t)}\;dt[/tex]. Then, we have to find g'(3). It is clear from the graph that f(3) = -3 and f(6) = -1.
Then, applying the Leibnitz rule for differentiation of the given function, we get,
[tex]\begin{aligned} g(x) &= \int^{2x}_0 f(t)\;dt\\g'(x)&=f(2x)\cdot\frac{d}{dx}(2x)-f(0)\cdot\frac{d}{dx}(0)\\&=2f(2x)\end{aligned}[/tex]
Now, substituting x = 3 in the above equation, we get,
[tex]\begin{aligned}g'(3)&=2f(2\times3)\\&=2f(6)\\&=2\times -1\\&=-2\end{aligned}[/tex]
The required answer is -2.
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In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation:
P = 16+4d/9
If a scientific team uses special equipment to measures the pressure under water and finds it to be 172 pounds per square foot, at what depth is the team
making their measurements?
Answer: The team is measuring at ???? feet below the surface.
Answers
Therefore , the solution of given problem of equation comes out to be
P is equal to 12 pounds per square foot.
Define equation.Comparable to a balance scale, an equation. The equation (or scale) is out of balance if we add or subtract variable from one side. We also Must keep the "scale" (or equation) balanced while solving math equations such that both parts are always equal as expression are equal.
Here,
P= p = 12 + 4/9d is the equation that describes the relationship between the pressure,
p, of sea water in some deep ocean regions and the depth, d, below the surface.
Where
In pounds per square foot, p.
in feet is d
1) At a depth, seawater has a pressure of 85 pounds per square foot.
85 = 12 + 4/9d
4.9d/9 = 85 - 12 = 73
By xing it out, it becomes
4.9d = 73 × 9 = 657
d = 657/4.9
d = 134.1 feet
2) At 85 feet just below water's surface, the pressure of saltwater is
p = 12 + 4/9 × 85 = 12 + 4/765
P is equal to 12 pounds per square foot.
Therefore , the solution of given problem of equation comes out to be
P is equal to 12 pounds per square foot.
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michael and martha run a mechanic shop. in one hour michael can perform eight oil changes or change ten tires. in one hour martha can perform seven oil changes or change fourteen tires. michael and martha have the same amount of resources. given this information which of the following is true?
Answers
Based on the information given the correct option is option E.) Michael has an absolute and comparative advantage in changing the oil.
Absolute advantage refers to the ability of a country or firm to produce a good or service at a lower cost than another country or firm. It is a concept in international trade and economic theory.
A country or firm has an absolute advantage in a good or service if it can produce that good or service more efficiently than another country or firm.
An individual has a comparative advantage in production if it produces at a lower opportunity cost when compared with other individuals.
The opportunity cost of Michael in the changing of oil = 10/ 8 = 1.25
Opportunity cost of Michael in changing tyres = 8 / 10 = 0.8
The opportunity cost of Martha in the changing of oil = 14 / 7 = 2
The opportunity cost of Martha in the changing of tyres = 7 / 14 = 0.5
Michael has an opportunity cost in changing of oil and Martha has an opportunity cost in changing of tyres.
Absolute advantage is when an individual produces more quantity of a good or service when compared to others.
So, Michael changes more oil (8) than Martha (7). Martha changes more tyres (14) than Michael (7)
Therefore, Based on the information given the correct option is option E.) Michael has an absolute and comparative advantage in changing the oil.
The complete question is:
Michael and Martha run a mechanic shop. In one hour Michael can perform eight oil changes or change ten tires. In one hour Martha can perform seven oil changes or change fourteen tires. Given this information which of the following is true?
A) Martha has a comparative advantage in changing oil.
B) Martha has an absolute advantage in changing oil.
C) Michael has a comparative advantage in changing tires.
D)Michael has an absolute advantage in changing tires.
E.) Michael has an absolute and a comparative advantage in changing oil
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A smoking cessation program was organized for 623 employees of a company, and 216 successfully stopping smoking. What was
the approximate ratio of successes to failures?
A) 1 to 2
B) 2 to 3
C) 3 to 1
D) 4 to 2
Answers
Answer:
A) 1 to 2
Step-by-step explanation:
Total number of people: 623
Successes: 216
Failures: 623 - 216 = 407
Ratio of successes to failure = 216/407
Since 216 is approximately half of 407, the ratio is approximately 1/2.
Answer: A) 1 to 2
Reasoning with linear equations
Answers
We can rewrite one side of the given equation using distributive property.
What is distributive property?
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
A, B, and C are the operands in the formula for the distributive property, which is written as a (b + c) = (a b) + (a c). Here, each term enclosed in a bracket multiplies the number outside of it, and the results are added.
The given equation is: 3(x + 2) = 18
Simplifying this,
3*x + 3*2 = 18
3x + 6 = 18
Hence, we can rewrite one side of the given equation using distributive property.
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what is the slope of the line -3y=12x+6
Answers
Answer:
Step-by-step explanation:
uhh
The first term in a sequence is 5 and the fifth term 17.what is the common difference ?
Answers
Using the concept of arithmetic progression , We have t(n) = a +(n-1)d formula, The answer is 3.
What do you mean by sequence?A number sequence is a series of numbers that are listed in a particular order. The numbers in a sequence may follow a specific pattern or rule. Examples of number sequences include the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc.), the Fibonacci sequence (1, 2, 4, 8, 16, 32, etc.), and the triangular number sequence (1, 3, 6, 10, 15, etc.). Number sequences are often studied in mathematics and have many applications in fields such as computer science, engineering, and physics.
What is arithmetic progression?An arithmetic progression (AP) is a type of number sequence in which the difference between any two consecutive terms is always the same. This common difference is known as the "common ratio" of the sequence. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic progression because the common difference is 3.
t(n) = a + (n-1)d
n=5
t(5)=17
a=5
17 = 5 +(5-1)d
12=4d
d=12/4 = 3
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Hi if anyone can answer that would be great thanks!
Answers
The value of GL is 161.We can find by using supplementary angles.
What is supplementary angle with example?Supplementary angles are those angles that sum up to 180 degrees. For example angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.There are a total of two supplementary quantities and their units.
How do you find supplementary angles?The sum of two angles is equal to 180° then they are supplementary angles. Each of the angles is said to be a supplement of another angle. Hence we can determine the supplement of an angle by subtracting it from 180°.
Now
According to supplementary angles
GL + LK =180
GL =180- LK
GL = 180 -19
GL = 161
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Name the following function.
Answers
Answer: it is not a function
Step-by-step explanation: occurs when there was an attempt to call a value from a function, but the value is not actually a function.
how many groups of 1/4 are in 7
Answers
Answer:
28
Step-by-step explanation:
28 groups of 1/4 goes into 7
Answer:
28
Step-by-step explanation:
This is a division problem.
7 ÷ 1/4 =
= 7/1 ÷ 1/4
= 7/1 × 4/1
= 28/1
= 28
Answer: 28
You can also solve it this way.
There are 4 1/4's in 1.
In 7, there must be 7 times as many 1/4's.
7 × 4 = 28
Answer: 28
Find the answer for this equation
Answers
Consider units digit as u and tens digit as t, so t=1/2 u is the right equation.
What is the answer for the equation?Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.
given : t + u=9
1/2u+u=9 by substituting the value of t
3u=18
u=6.
t=1/2*6=3.
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a salad dressing recipe uses 10 parts oil,4 parts vinegar,and 2 parts honey.Which of the following sets of ingredients are in a proportional relationship with the recipe?select all that apply.
Answers
According to the information, the sets of ingredients that have a proportional relationship with the original recipe are: option A, C and D.
How to check the proportional relationship of the ingredients with the recipe?To check the proportional relationship of the ingredients with the recipe we must carry out the following procedure.
Option A.
First, we need to establish how many times 6 is in 12 because this recipe includes 6 parts oil and the original recipe includes 12 parts oil.
12 / 6 = 2Once we identify this number, we must divide the amounts of the original recipe by 2 to identify if the other values are correct.
3 / 2 = 1.52 / 2 = 1In accordance with the above, option 1 would be proportional to the main recipe. For the other options we must perform the same procedure:
In the case of case C. we identify that 24 is twice 12, so we would have to multiply each ingredient by 2 to check the proportional relationship
3*2=62*2=4In the last case (option D), we identify that the proportion is 3/4 with respect to the original recipe, so we must carry out the same procedure keeping this proportion in mind.
12 / 4 = 33*3=93 / 4 = 0.750.75 * 3 = 2.252 / 4 = 0.50.5 * 3 = 1.5Note: This question is incomplete because there is some information missing. Here is the complete information:
Attached image
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Find an explicit formula for the geometric sequence 3\,,\,15\,,\,75\,,\,375,...3,15,75,375,...3, comma, 15, comma, 75, comma, 375, comma, point, point, point.
Note: the first term should be \textit{a(1)}a(1)start text, a, left parenthesis, 1, right parenthesis, end text.
a(n)=a(n)=a, left parenthesis, n, right parenthesis, equals
Answers
The explicit formula for this geometric sequence 3, 15, 75, 375... is aₙ = 3(5)ⁿ⁻¹.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Note: The nth term of a geometric sequence is equal to the explicit formula for the geometric sequence.
Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = 15/3
Common ratio, r = 5.
Now, we can calculate the nth term (explicit formula) of this geometric sequence as follows:
aₙ = a₁rⁿ⁻¹
aₙ = 3(5)ⁿ⁻¹
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Complete Question:
Find an explicit formula for the geometric sequence 3, 15, 75, 375...
enter the correct 4 digit code
Answers
The code is 4321.
A = 4
B = 3
C = 2
D = 1
A triangular prism has a base that is an isosceles right triangle with sides ,9 ,9 and 12.7. The height of the prism is . What is the surface area of this prism
Answers
The surface area of the triangular prism is 55.8 units²
What is Triangular PrismA triangular prism is a three-dimensional shape with two triangular faces and three rectangular faces. It is also known as a tetrahedron, which is a type of polyhedron with four faces. The triangular prism has a total of six faces and nine edges.
The formula of surface area of triangular prism is given as;
S.A = 2A + PH
A = Area of triangular baseP = perimeter of triangleH = height of triangleThe base area of the prism is given as;
A = 1/2 (b * h)
A = 1/2 * (9 * 14)
A = 63 units²
The perimeter of the triangle is the sum of all the sides.
This is calculated as P = a + b + c
P = perimeter = 9 + 9 + 12.7 = 30.7 units
Surface Area = 2(63) + 30.7 * 14
Surface Area = 55.8 units²
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Complete Question:
A triangular prism has a base that is an isosceles right triangle with sides 9 ft, 9 ft, and 12.7 ft. The height of the prism is 14 ft. What is the surface area of this prism.
Carrie solved -8 = 2y - 2 and got the solution y = 3 is she correct
Answers
Answer:
No
y = –3
Step-by-step explanation:
solution
–8 = 2y – 2
–8 + 2 = 2y
– 6 = 2y
[tex] \frac{ \\ - 6}{2 } = \frac{2y}{2} [/tex]
–3 = y
y = –3
Please help its geometry
Answers
Answer: B
Step-by-step explanation:
b is 64 because exterior angles are congruent
11
Stephen is n years old.
Rachel is 10 years older than Stephen
(a) Write an expression for Rachel's age.
Tim is 13 years younger than Stephen.
(b) Write an expression for Tim's age.
Juil
neb
13
12
inotdan ni
(c) Write an expression for the total age of Stephen, Rachel and Tim.
nt
2
Answers
b) n - 13
c) n + (n+10) + (n-13)
2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
Answers
In the above case which involves a Pythagorean Triangle, using the trigonometric function TOA to solve we get: 61.93°
What is the Trigonometric function TOA?
TOA is the acronnum for:
Tangent (θ) = Opposite /Adjacent
Tangent (θ) = 8/15
θ = Tan⁻¹ 0.5333333333
Thus
θ = 61.93°
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