The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
TrigonometryGiven Data
Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
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How can I write a model of a function in a linear relationship? No links or I will report you! The best explanation and answer gets Brainliest!
Answer:
build linear model
When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.
fitting linear models to data
A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.
distinguish between linear and nonlinear relations
As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.
use a linear model to make predictions
Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.
key concepts
1. Scatter plots show the relationship between two sets of data.
2. Scatter plots may represent linear or non-linear models.
3. The line of best fit may be estimated or calculated using a calculator or statistical software.
4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.
glossary
correlation coefficient
1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.
extrapolation
1. predicting a value outside the domain and range of the data
Step-by-step explanation:
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended warranties, he earns $1,080. how much is the fixed amount geet earns for each television?
well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.
so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.
What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
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The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?
Answer:
5 m
Step-by-step explanation:
The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.
__
square area = trapezoid area - triangle area
square area = 57.5 m² -32.5 m² = 25 m²
Then the side length is ...
side length = √(square area) = √(25 m²)
side length = 5 m
The length of a side of the square is 5 m.
Find the area of a semicircle with diameter 9 cm
Answer:
31.8 cm^2
Step-by-step explanation:
Area of WHOLE circle = pi r^2
semicircle is 1/2 of this ( r = 1/2 of the diameter)
1/2 pi r^2
1/2 pi (9/2)^2 =
what is the diameter of a circular field whose area is 616cm^2
Answer:
28cmStep-by-step explanation:
[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]
rounding 28.00563 to 28.
So hence, your answer is 28cm
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Answer:
28
Step-by-step explanation:
area of a circle
[tex]\pi{r}^{2} [/tex]
616=3•142×r×r
616/3•142=r^2
196=r^2
r=√196
r=14
d=2r
d=2×14
d=28
mia draws a cone with a height of 9 inchess and a radius of 4 inches
The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.
How to calculate the volume of a cone.
Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Given the following data:
Radius of cone = 4 inches.
Height of cone = 9 inches.
Substituting the given parameters into the formula, we have;
Volume = 1/3 × 3.142 × 4² × 9
Volume = 3.142 × 16 × 3
Volume = 150.816 in³
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Answer please!!!
Best answer gets brainliest!!!
Answer:
B. 6
Step-by-step explanation:
So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6
If p(a) =. 35 and p(b) =. 45 and p(a and b) =. 25, then p(b|a) is
Answer:
p(b|a) =5/7
Step-by-step explanation:
hello :
note : p(b|a) = p(a and b)/p(a)
p(b|a) = 25/35 =5/7
The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're given that:
P(A) = 0.35P(B) = 0.45P(A and B) = P(A ∩ B) = 0.25P(B|A) = to be known.Using the chain rule of probability, we get:
[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]
Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
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What are the domain and range of g of x equals the square root of the quantity x plus 4?
D: [4, ∞) and R: [0, ∞)
D: (–4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (4, ∞) and R: (–∞, 0)
Using it's concept, it is found that the domain and range of the function are given by:
D: [–4, ∞) and R: [0, ∞)
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In this problem, the function is:
[tex]g(x) = \sqrt{x + 4}[/tex]
The square root function does not exist for negative values, hence the domain is represented by:
[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]
The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.
Hence the correct option is given by:
D: [–4, ∞) and R: [0, ∞)
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Answer: C) D: [–4, ∞) and R: [0, ∞)
Step-by-step explanation:
Doordash and Uber Eats motivate their drivers to take jobs by offering more money as more time passes. The following information shows how much each company offers depending on
how many minutes have passed after the customer's request.
DoorDash(table):
minutes: 0 ,5,10,15, 20, 25, (greater then or equal to sign) 30
money offered: $2.50 , $2.75 , $3.00, $5.00,$8.00, $12.00,$30.00
a) State the y-intercepts of each function and state what each one represents in this real-world context (Show your work)
b) State the maximum of each function and state what each one represents in this real-world context. (Show your work)
c) At what point do both companies pay the same amount? If you had to choose one company to work for, which one would you choose and why? (Show your work. Use evidence from above)
The functions of DoorDash and UberEats are linear functions and piecewise functions
The y-intercepts are $2.50 and $5, respectivelyThe maximum of the functions are $12.00 and $8.00, respectively.The point where the salaries are the same is (25, 12.00)The y-intercept of the functions?This is the point where the input value is 0 i.e. x = 0.
From the table, we have:
(x,y)= (0,2.50)
From the graph, we have:
(x,y)= (0,5)
Hence, the y-intercepts are $2.50 and $5, respectively
The maximum of the functionsThis is the point where the output value is at the highest
From the table, we have:
(x,y)= (25,12.00)
From the graph, we have:
(x,y)= (20,8.00)
Hence, the maximum of the functions are $12.00 and $8.00, respectively.
This also represents the maximum salaries of working in both companies
When the salary is the sameThis is the point where the values of both functions are equal
From the table and the graph, we have:
(x,y)= (25,12.00)
Hence, the point where the salaries are the same is (25, 12.00)
DoorDash has a higher maximum salary; so I would choose to work at DoorDash
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A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
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Keneda dropped her folder in the hallway and her geometry notes went everywhere. Sophia is helping her gather her notes and picked up a piece of paper with the following diagram drawn on it.
Which of the following constructions would involve this diagram?
A. construction of a line parallel to through point C
B. construction of a line perpendicular to through point C
C. construction for copying AB
D. construction for copying FDE
The diagram involves the construction for copying angle FDE as angle HCG.
What is an angle?An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.
The diagram involves the construction for copying angle FDE as angle HCG.
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40.quadrilateral efgh was translated 3 units to the left and 8 units up to create quadrilateral e' f'g'h'. which
rule describes this transformation
Answer:
translation
Step-by-step explanation:
Please help fast! ( I'm not trying to rush yall but i need help fast! All so this is NOT high school math I just don't know how to change it sorry!)
Answer:
19%
Step-by-step explanation:
add all them up then figure out what percent of them are dimes you can do this by taking the number of dimes and dividing it by the total number of coin
46/238 = .19
3.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3
need some help
Answer:
a) k(x) = 5x - 2
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
k-¹(x) = (x+2)/5
b) h(x) = (x+10)/(x-3)
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
h-¹(x) = (3x+10)/(x-1)
The center of the sphere is C and its circumference is 7pi centimeters.
Find the radius of the sphere. Find the diameter of the sphere.
Answer:
384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)
Step-by-step explanation:
Olya would like to find a way to reduce her current debt. the table below shows olya’s monthly income, expenses and net income. monthly budget amount income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit card
Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
Olya would like to find a way to reduce her current debt. The table below shows Olya’s monthly income, expenses and net income.
Monthly budget amount Income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit cardOlya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.
In the second option, she has to skip the montly payment of her school loan which is not possible.
Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she can pay the credit card payment faster.
Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
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Answer:
answer is B
Step-by-step explanation:
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find ron’s age, r, if he is the younger man?
Answer:
The answer is (3).
Step-by-step explanation:
Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.
r is younger
r + 2 = s
product is 783
783 = rs
s = r +2
783 = r(r+2)
So, the quadratic equation form
783 = r^2 + 2r
0 = r^2 + 2r -783
0 = (r -27)(r +29)
set to zero
r-27 = 0
r = 27
and
r + 29 = 0
r = -29
thus, The age of ron is 27 years old.
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find the equation of the line
please help
Answer:
y=4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.
We need to find the slope and y-intercept.
To find slope we will do rise/run
If we start from (3,3) and go up 4 and over 1 we get to (4,7)
4 over 1 is also 4
So m=4 or slope is 4
Now lets find the y-intercept
We can plug in our values and solve for b
3=4*3+b
3=12+b
-9=b
y-intercept is -9
so our answer will be y=4x-9
Answer:
y = 4x -9
Step-by-step explanation:
The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.
Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-5))/(2 -1) = 4/1 = 4
The formula for the y-intercept can be used with the first point:
b = y -mx
b = -5 -4(1) = -9
Then the equation of the line y = mx +b is ...
y = 4x -9
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answer:
The answer is -28C
Step-by-step explanation:
dont forget to smile today:)
which expression is a perfect cube?
Answer:
it is option b
Step-by-step explanation:
Pls do let me know in the comments for complete explanation
Select all the ways below that correctly describe the ratio of bananas to monkeys in this picture: There’s 4 monkeys and 5 bananas.
1. 4 to 5
2. 5 to 4
3. 4:5
4. 5:4
5. 4/5
6. 5/4
7. 4.5
8. 5.4
(I seriously need help with this, I don’t know how to use Brainly but I hope this works.)
x=15 in the form of |x-b|=c
(where b is a number and c can be either number or an expression)
Step-by-step explanation:
don't mind with my hand writting
Jameela spins the following spinner 36 times.
A spinner with 4 equal sections labeled 1 through 4.
How many times should she expect it to land on 3?
Enter your answer as a number, like this: 42
PLEASE HELP ME IM NOT GOOD AT MATH
Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
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At which point would the graphs of the equations below intersect?
{
3
x
−
4
y
=
−
2
−
6
x
+
5
y
=
7
3x-4y = -2 -6x+5y = 7
A.
(
−
2
,
−
1
)
(
-
2
,
-
1
)
B.
(
2
,
−
1
)
(
2
,
-
1
)
C.
(
−
1
,
2
)
(
-
1
,
2
)
D.
(
−
1
,
−
2
)
Answer:
can't explain without you arranging your mathematical expression
A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?
Answer: 4:18
Work:
2:9
2 inch:9 feet
2 · 9 = 18
2 · 2 = 4
4 inch:18 feet
Find the geometric mean of 3 and 13. Show work
Answer:
b
Step-by-step explanation:
a/b=c/d
ad=bc
3/x=x/13
3*13=x*x
√39=√x2
6.244997998398=x
Which expression is equivalent to 20c - 8d
Answer:
4(5c-2d)
Step-by-step explanation:
if you mean in factorization