As a result, there are 1440 degrees total internal angles in a decagon.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle. Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
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Modules
Honorlock
An on-demand printing company has monthly overhead costs of $2,200 in rent, $380 in
electricity, S65 for phone service, and $240 for advertising and marketing. The printing
cost is $30 per thousand pages for paper and ink. The average cost for printing.x
thousand pages can be represented by the function
2,885 +30x
C(x)=
X
For a given month, if the printing company could print an unlimited number of pages,
what value would the average cost per thousand pages approach? What does this mean
in the context of the problem?
O The average cost would approach infinity. The more pages the company prints, the
higher the average cost.
o The average cost would approach $30 per thousand pages or
equivalently $0.03 per page. This is the cost per page in the absence
of fixed costs.
o The average cost would approach $2,885 per thousand pages. This is
the total of the fixed monthly costs.
o The average cost would approach $0 per thousand pages. The more
pages the company prints, the lower the average cost.
MacBook Pro
Time Running
Attempt due: Jul
29 Minutes, 42
Answer:
Step-by-step explanation:
Comment
The formula used to figure out the costs is
C(x) = 2885 + 30x
2885 is the total of the fixed costs -
Rent 2200Electricity 380Phone 65Marketing 240Total 2885Now the problem gets sort of complicated. If the company could print an unlimited amount of pages, the 2885 remains the same, no matter what.
But x gets larger and larger. and so C(x) gets larger and larger.
Answer
Therefore the average cost would approach infinity.
A
Match each number on the left with the correct description of the number on the right.
Can you help with this question? I'm not sure if the black highlighted choice is right
Answer:
See below
Step-by-step explanation:
Remember... when you square a negative number, you get a positive result
AND you cannot divide by zero AND you cannot have the sqrt of a negative number so:
-2 > x > 2 (looks like 'D' but there is a negative sign missing)
We know for a fact that the equation:
[tex]|z+z'| \leqslant |z|+|z'|[/tex]
holds for any 2 complex numbers
I came up with the conclusion that:
[tex]|z+z'|=|z|+|z'|[/tex]only holds when z and z' are pure imaginary or pure real numbers of the SAME sign.
How can i prove this algebraically/geometrically?
Note: Irrelevant answers will be reported
They don't need to be pure real or imaginary. Any "mixed" complex number works so long as [tex]z=z'[/tex].
Let [tex]z=z'=a+bi[/tex]. Then
[tex]|z+z'| = |2a+2bi| = 2 \sqrt{a^2+b^2}[/tex]
[tex]|z| + |z'| = 2|a+bi| = 2 \sqrt{a^2+b^2}[/tex]
so [tex]|z+z'|=|z|+|z'|[/tex].
The geometric interpretation is essentially identical. [tex]|z+z'|=2|z|[/tex] is a complex number twice the distance away from the origin in the complex plane as [tex]z[/tex], which is exactly [tex]|z|+|z|[/tex].
3. Your new job requires you to calculate the material
costs for manufactured goods. One of goods you
manufacture is a fabric sample in the shape of a circle.
Given the formula A = πr^2, find the
area (A) of the fabric sample whose radius (r) is
7.6 x 10^7 m. Round your answer to the nearest thousandth. (Use 3.14 for π)
A= _____________ m^2
The area of the circular manufactured good is given by:
[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]
What is the area of a circle?The area of a circle of radius r is:
[tex]A = \pi r^2[/tex].
In this problem, the radius in meters is:
[tex]r = 7.6 \times 10^7[/tex]
Hence the area in m² is:
[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]
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Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = rise run = − 2 4 = − 1 2 3. Substituting values into y = mx + b y = x +
Based on the information given about the equation, y will be 0.5x + 2.
How to illustrate the equation?From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).
The function to represent y will be:
y = mx + b
y = (1/2)x + 2
y = 0.5x + 2
In conclusion, y = 0.5x + 2.
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Determine a limit for a piecewise function
The limit for the given piecewise function does not exist(DNE).
4th option is correct.
What is the limit of a function?In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.
Unique real numbers are limits in mathematics.
According to the question,
Left hand limit of the function= -5(3)+4 = -15+4 = -11
Right hand limit of the function= (3)(3)+2 = 11
As the left and right-hand limits are not equal. Thus, the limit of the function does not exist.
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Find a polynomial function of degree 7 with -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 1 as a zero
of multiplicity 1.
The polynomial function is P(x) = x^3(x + 1)^3(x -1)
How to determine the polynomial function?The zeros of the polynomial and the multiplicities are given as:
-1 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, 1 as a zero of multiplicity 1The degree is given as
Degree = 7
The polynomial is represented as:
P(x) = (x - zero)^multiplicity
Using the above format, we have
P(x) = (x + 1)^3(x - 0)^3(x -1)
This gives
P(x) = x^3(x + 1)^3(x -1)
Hence, the polynomial function is P(x) = x^3(x + 1)^3(x -1)
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Ned and Sam are playing a game. Ned has -3 points. Sam has -8 points. How many more points does Ned have than Sam? Please provide an equation and an answer.
Answer:
5 points
Step-by-step explanation:
Subtracting their scores, we get (-3)-(-8)=5
I’m confused on c and d please help me
Answer:
C is 27 and d is 16
Step-by-step explanation:
count how many cubes are on the first level and multiple but how many it goes up too
A role-playing game uses an 11-sided die that displays the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 What is the probability that someone throws the 11-sided die one time and rolls a number 9 or higher? Express your answer as a percentage rounded to one decimal place
Using it's concept, it is found that there is a 27.3% probability that someone throws the 11-sided die one time and rolls a number 9 or higher.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 11 numbers, 3 of which are 9 or higher, hence the probability is:
p = 3/11 = 0.273 = 27.3%.
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Rewrite as an exponential equation.
In 5 = y
The equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
How to rewrite the expression?The natural logarithm equation is given as:
ln 5 = y
Rewrite as:
ln(5) = y
Take the exponent of both sides
[tex]e^{ln(5)} = e^y[/tex]
Evaluate the expression
[tex]5 = e^y[/tex]
Rewrite as:
[tex]e^y = 5[/tex]
Hence, the equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
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If the speed of a fluid in a pipe of a Cross-sectional area 100 cm³ is 30ms, what will be it's speed in a pipe of radius 10cm connected to the other end.
Answer:
watch oreimo..
Sand will be placed under a circular pool with a diameter of 20 feet. The sand depth should be 2 inches. How many cubic feet of sand are needed?
you need 628 square feet of sand.
How many cubic feets of sand are needed?
Here we need to find the volume of the sand needed.
The volume filled with sand will be a cylinder of diameter of 20ft, and a height of 2 inches.
First, the radius is half of the diameter, then:
R = 20ft/2 =10ft
Remember that:
1ft= 12in
Then:
R = 10ft = 10*(12 in) = 120 in
And remember that the volume of a cylinder of radius R and height H is:
[tex]V = pi*R^2*H[/tex]
Where pi = 3.14
Then we have:
[tex]V = 3.14*(120 in)^2*2in = 90,432 in^2[/tex]
To get that in feets, we need to divide by 12 squared, then:
[tex]90,432 in^2 = 90,432ft^2/(12^2) = 628 ft^2[/tex]
So you need 628 square feet of sand.
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An advertiser claims that 74% of people stream their TV, 12% have cable, and the rest do not watch TV. A test is conducted to evaluate the claim and the conclusion is fail to reject
using alpha = 0.1. What is your interpretation of the test result?
Considering the hypothesis tested, the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.
What are the hypothesis tested?At the null hypothesis, we test if the percentages are as advertised.At the alternative hypothesis, we test if the percentages are different than advertised.We fail to reject the null hypothesis, hence the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.
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Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each. a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer. b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0≤x≤80 and 10≤ y ≤400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos) c. [1 pt] What is the total cost of the pen? Round to dollars and cents.
The function P(x), for the price of the materials for the pen is 4.18(800/x + x) + 38.
How to illustrate the function?Based on the information, the function P(x), for the price of the materials for the pen will be:
P(x) = 4.18 (2 × 400/x + x) + 38
= 4.18(800/x + x) + 38.
The dimensions will be:
We'll differentiate the function which will give 20✓2. Therefore, the value for x will be 20✓2 which is 28.28 feet and that of y will be 10✓2 which is 14.14 feet.
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write the whole number as an equivalent fraction with the given denominator.
3= 4
Answer: 12/4
Step-by-step explanation: whole number = 3. given denominator = 4. 4/4 = 1. 1 times 3 = 3. 4 plus 4 plus 4 = 12. therefore answer is 12/4
Write the trig form of the complex number
18i
The trigonometric form of the complex number given in the task content is; 18(isin(π/2)).
What is the trigonometric form of the complex number?If follows from the task content that the complex number whose trigonometric representation is to be determined is; 18i.
Hence, It follows that the trigonometric form is;
= 18(cos(π/2) + isin(π/2)). where; cos(π/2) = 0.
Hence, we have;
= 18(isin(π/2)).
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what is the general direction of centurion from bronkhorspruit?
Answer:
Brock or separate is located nearly Westside to centure in gives best direction from the central only
Lesson Review
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Factorization implies the obtaining of the common factors in an expression.
What is factorization?The term factorization implies the obtaining of the common factors in an expression.
The factors of the expressions are as follows;
1) (x−1)(x+7)
2) (x−2)(x−3)
3) (x+1)(x−7)
4) (x−1)(x+6)
5) (x−3)(x+4)
6) (x+2)(x−4)
7) (x+1)(x−5)
8) (x−1)(x+3)
9) (x+4)(x−4)
10) (x+3)(x−4)
11) (x−3)(x−6)
12) (x+2)(x−7)
13) (x−2)(x−5)
14) (x−3)(x−8)
15) (x+5)(x−6)
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Asphalt roofing shingles are typically sold by the square, with a square covering 100 square feet. A contractor must shingle a roof that measures 65.5'x 35'. How many squares will be required to cover this roof?
Question content area bottom
Part 1
A 23
B 26
C 33
D 25
The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:
graph of parabola starting at zero comma zero, rising from the left to about one and one half comma 11, and falling to the right, ending at 3 comma zero
What is the domain of h(t)?
All real numbers
0 ≤ x ≤ 11
0 ≤ x ≤ 3
x ≥ 0
Since the function is h(t) = −5t² + 15t, the domain of the function h(t) is 0 ≤ t ≤ 3
What is the domain of a function?The domain of a function is the range of input values that make the function have real values.
Now given the function h(t) = −5t² + 15t, it will have real values when
h(t) ≥ 0
So, h(t) ≥ 0
⇒ −5t² + 15t ≥ 0
Factorizing, we have
-5t(t - 3) ≥ 0
5t(t - 3) ≤ 0
t(t - 3) ≤ 0
t ≤ 0 and t - 3 ≤ 0
t ≤ 0 and t ≤ 3
For t ≤ 0, say -1, t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0
For 0 ≤ t ≤ 3, say 2, t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0
For t ≥ 3, say 4, t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0
Since we require t(t - 3) ≤ 0, the domain of t is thus 0 ≤ t ≤ 3
So, the domain of the function h(t) is 0 ≤ t ≤ 3
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In what statistical measurement would you be most interested when considering housing prices in a particular city?
Answer:
Median
Explanation:
Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.
Olivia has made a pyramid model for her history project at school. The pyramid model has a square base. Each triangular side of the
model has a base length of 10 centimeters and a slant height of 8.9 centimeters. Olivia wants to wrap the pyramid in wrapping paper
before putting it into her school bag.
How much wrapping paper will Olivia need to cover the pyramid?
OA. 178 square centimeters
OB. 89 square centimeters
OC. 456 square centimeters
OD. 278 square centimeters
Answer:
278 square centimeters
Step-by-step explanation:
You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.
Hope this helps!
Two ares are congruent if they have the same measure and ?
Two ares are congruent if they have the same measure and lengths
How to complete the statement?The statement is given as:
Two ares are congruent if they have the same measure and ?
The conditions for congruent shapes in geometry are;
Congruent angleCongruent lengthThis means that the angle and the length must be equal
Hence, the term that completes the blank is length
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What is 20% of 50 apples
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
Joanne knitted a blanket that measures 174 cm by 230. Her sister asked joanne to make a matching one for her son. If joanne wants to make a similar blanket using a scale factor of 0.55, what will it,s dimensions be.
Answer:
95.7 cm by 126.5 cm
Step-by-step explanation:
To use the scale factor of 0.55, we multiply 174 and 230 by 0.55: 174*0.55 = 95.7, 230*0.55 = 126.5
Please answer fast!
Ted practices two types of swimming styles for a total of 50 minutes every day. He practices the breaststroke for 20 minutes longer than he practices the butterfly stroke.
Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breaststroke every day (y). (5 points)
Answer:
x = 15 & y = 35
Step-by-step explanation:
[tex]y = x + 20[/tex]
[tex]x + y = 50 \\ x + (x + 20) = 50 \\ 2x + 20 = 50 \\ 2x = 50 - 20 \\ 2x = 30 \\ x = \frac{30}{2} = 15[/tex]
[tex]y = x + 20 = (15) + 20 = 35[/tex]
The figure shows two parallel lines PQ and ST cut by the transversals PT and QS:
Answer:
triangle PQR is similar to triangle TSR because the measure of angle 3 is congruent to the measure of angle 4 and the measure of angle one is congruent to the measure of angle 5
Step-by-step explanation:
angle 3 and angle 4 are congruent because they are vertical pairs.
Angles 1 and five are congruent because they are alternate interior angles
12 ft
8 ft
8 ft
Find the area of the kite
The area of the kite exists 48 sq. ft.
How to estimate the area of kite?The area of a kite exists half the outcome of the lengths of its diagonals. The formula to define the area of a kite exists:
Area = ½ × p × q.
Given that a kite contain diagonals of lengths 12 ft and 8 ft.
We know that the area of a kite having diagonals of length 'p' units and 'q' units exists
Area of kite = ½ (p × q)
Here, p = 12 ft and q = 8 ft.
Area of kite = ½ (p × q)
= (12 × 8)/2
= 96/2 = 48
Therefore, the area of the kite will be 48 sq. ft.
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