A square piece of sheet metal is to be used to make a stop sign. each side of the sheet metal is 50cm long. A triangle will be cut off each corner, leaving a regular octagon. which pair of equations can be used to calculate the length of each side of the octagon

Answers

Answer 1

Answer:

L = a √( 4 + 2√2)

Step-by-step explanation:

L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.


Related Questions

the ratio of the measure of the three angles in a trinagle is 10:3:7. Find the measure of the largest angle

Answers

Answer:

90°

Step-by-step explanation:

[tex]10 + 3 + 7 = 20 \\ \frac{20}{20} = 180 \\ \frac{1}{20} = \frac{180}{20} \\ \frac{10}{20} = \frac{180}{20} \\ the \: largest \: angle = 90 \\ [/tex]

the graphs below have the same shape. what is the equation of the red graph?

Answers

Answer:

b

Step-by-step explanation

When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?

Answers

Answer:

A= P(1+r)^x

$2025

Step-by-step explanation:

Given data

Principal=  $1000

Rate= 4%

1. - Develop a function to show the amount in the savings account after x years

Time= x years

The function is

A= P(1+r)^x

2.  How much money will be in the account when Theo is 18 and ready for college?

Time= 18 years

A= 1000(1+0.04)^18

A=1000(1.04)^18

A=1000*2.025

A=$2025

The dinning table in the kitchen has a length of 2.3 m & a width of 3 m. Find the area of a sheet that will cover the table top

Answers

Answer:

Area= 6.9m²

Step-by-step explanation:

Area= l x w

= 2.3m x 3m

= 6.9m²


If f(x)=sin(x) and g(x)=sin(2x), which of the following statements is true?
A f(x) is a taller version of g(x).
B g(x) is a taller version of f(x).
C С
The period of f(x) is half the size of g(x).
D
The period of g(x) is half the size of f(x)

Answers

Your answer is A!!!

What is the domain of the function ?

Answers

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

which statement does not describe a normal distribution?
A: The median is equal to the mean
B: The distribution is not symmetric
C: The number of observations trails off as you move away from the mean
D: Most of the observations are near the mean

Answers

Answer:

B.

Step-by-step explanation:

The distribution is symmetric

Answer:

B.  The distribution is not symmetric

Step-by-step explanation:

Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)

Answers

Answer:

20x +80y -60 hope this helped:)

Step-by-step explanation:

In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.

Answers

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units

Recall the experiment comparing patients 4 weeks after surgery for carpal

tunnel syndrome. The patients who had endoscopic surgery demonstrated

a mean pinch strength of 9.1 kg compared to 7.6 kg for the open- incision

patients.

4. What hypotheses would you test?

5. The P-value of the test was less than 0.05. State a brief conclusion.

Answers

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

What is the slope of the line y +3 = (x +4)?

Answers

Answer:

m=1, hope this helps <33

Step-by-step explanation:

4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.

Answers

The answer is B because 4 is a factor of 2

Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house

Answers

Step-by-step explanation:

[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]

which triangles are similar to triangle FDG? Help me asap​

Answers

Answer:

ECB

Step-by-step explanation:

they are both similar

They are both similar

Find the constant of direct variation when x = 3 and y = -12​

Answers

Answer:

constant = b = -15

Step-by-step explanation:

3 + b = -12

b = -12 - 3

b = -15

Anybody know this. Kinda need help

Answers

Answer:

[tex]g(x) = {(3x)}^{2} [/tex]

Express (x – 7)2 as a trinomial standard form

Answers

Answer:

2x-14

Step-by-step explanation:

use the formula (b/2)^2

hope this helps :)

Help me out please??

Answers

Rate of change is given in Rise over run or Y/X
The rate of change would be 3/2
The correct answer is 3/2

23.
20m + on ?
Which expression is equivalent to 54n

Answers

Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

Solve to get the value of h

Answers

the answer to the question is h=64 degrees
H=64 degrees :)))))))))))))))))))))

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at -2?​

Answers

The equation of the parallel line is y = 5x - 2

The world population was 6.114 billion in 2000 with an estimated growth
rate of 1.9% per year. Assuming the world population follows this exponential
growth mode, find the projected population in 2030.

Answers

Answer:

10.754 billion

Step-by-step explanation:

this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.

Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?

Answers

Answer:

Deserea ate more

Step-by-step explanation:

One dozen equals 12

Carla ate 1/4 of it

1/4×12/1=3

Carla ate 3 cookies

Deserea ate 1/2

1/2×12/1=6

Deserea ate 6

6 is greater than 3 so Deserea ate more

Deltamath

Please help me

Answers

5,-1 I believe is the correct answer

Answer:

It should be (6, -3) If I am correct- sorry if it isn't

A circle has a diameter of 16 inches. What is the circumference of the circle using function on the calculator?

Answers

Answer: 50.26548 (50.27)

Step-by-step explanation:

Circumference = 2 x π x r(radius)

Diameter = 2 x r(radius)

C = π x 16 = 50.26548

What is the answer to part B? explanation please

Answers

Answer:

1

Step-by-step explanation:

10³/10³

10³-³

10⁰=1

Formula a¹÷a¹=a¹-¹=a⁰. (Exponents and Powers)

And

a⁰=1

hope it helps..

1 I just did it myself

PLS HELP :) Which expression is equivalent to c+c-10?
2c−10
−8c
c−9
12c

Answers

Answer:

2c - 10

Step-by-step explanation:

When you combine the like terms of the expression c+c-10, you get 2c-10.

Therefore, 2c - 10 is equivalent to c + c - 10.

c + c - 10 → 2c - 10.

2
s=ut + 1/2at^2
Find the value of s when u = 5.2, t=7 and a = 1.6​

Answers

Answer:

S=75.6

Step-by-step explanation:

[tex] \frac{1}{ 2} [/tex]

For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.

Answers

Step-by-step explanation:

I wish I could help but I can't see clearly

A car’s value depreciates at a rate of 3.4% per year. The car was worth $30,000 when it was new.

Which equation could be used to determine when the car will be worth $18,500, where x is time in years?

A. 18500 = 30000 (0.034)^x
B. 18500 = 30000(0.966)^x
C. 30000 = 18500(0.34)^x
D. 30000 = 18500 (0.966)^x

Answers

It should be D.30000 = 18500
Other Questions
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