1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitrij [34]
2 years ago
15

The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side l

engths of the window?
Mathematics
1 answer:
vaieri [72.5K]2 years ago
3 0

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

<h3>How to determine the side lengths?</h3>

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches

Read more about perimeter at:

brainly.com/question/17297081

You might be interested in
Can somebody explain how these would be done? The selected answer is incorrect, and I was told "Nice try...express the product b
trapecia [35]

Answer:

Solution ( Second Attachment ) : - 2.017 + 0.656i

Solution ( First Attachment ) : 16.140 - 5.244i

Step-by-step explanation:

Second Attachment : The quotient of the two expressions would be the following,

6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi \:}{5}\right)\right] ÷ 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]

So if we want to determine this expression in standard complex form, we can first convert it into trigonometric form, then apply trivial identities. Either that, or we can straight away apply the following identities and substitute,

( 1 ) cos(x) = sin(π / 2 - x)

( 2 ) sin(x) = cos(π / 2 - x)

If cos(x) = sin(π / 2 - x), then cos(2π / 5) = sin(π / 2 - 2π / 5) = sin(π / 10). Respectively sin(2π / 5) = cos(π / 2 - 2π / 5) = cos(π / 10). Let's simplify sin(π / 10) and cos(π / 10) with two more identities,

( 1 ) \cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos \left(x\right)}{2}}

( 2 ) \sin \left(\frac{x}{2}\right)=\sqrt{\frac{1-\cos \left(x\right)}{2}}

These two identities makes sin(π / 10) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, and cos(π / 10) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}.

Therefore cos(2π / 5) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, and sin(2π / 5) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}. Substitute,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]

Remember that cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting those values,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[0-i\right]

And now simplify this expression to receive our answer,

6\left[ \left\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}+i\left\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\right] ÷ 2\sqrt{2}\left[0-i\right] = -\frac{3\sqrt{5+\sqrt{5}}}{4}+\frac{3\sqrt{3-\sqrt{5}}}{4}i,

-\frac{3\sqrt{5+\sqrt{5}}}{4} = -2.01749\dots and \:\frac{3\sqrt{3-\sqrt{5}}}{4} = 0.65552\dots

= -2.01749+0.65552i

As you can see our solution is option c. - 2.01749 was rounded to - 2.017, and 0.65552 was rounded to 0.656.

________________________________________

First Attachment : We know from the previous problem that cos(2π / 5) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}, sin(2π / 5) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}, cos(- π / 2) = 0, and sin(- π / 2) = - 1. Substituting we receive a simplified expression,

6\sqrt{5+\sqrt{5}}-6i\sqrt{3-\sqrt{5}}

We know that 6\sqrt{5+\sqrt{5}} = 16.13996\dots and -\:6\sqrt{3-\sqrt{5}} = -5.24419\dots . Therefore,

Solution : 16.13996 - 5.24419i

Which rounds to about option b.

7 0
3 years ago
I need help I have no idea what to do
vivado [14]
Which one do you need help with?
4 0
3 years ago
Read 2 more answers
Jammal makes a cut through a block of florist's foam, as shown. What are the dimensions of the exposed cross section?
Ahat [919]

Answer:

C. 3 in x 6 in

Step-by-step explanation:

Jammal cuts the block in a straight line parallel to one side... so the section revealed when he finishes his cut will be identical as the parallel side to which the cut is done.

We know the the left side of the prism on the image is 3 inches wide and 6 inches high... so that will also be the dimensions of the exposed cross section.

The answer is then 3 inches y 6 inches. The thickness of the block (5 inches) has no impact on the exposed area of the cross-section.

8 0
3 years ago
Nicole bought a $3,200 computer on the installment plan. She made a $300 down payment, and
marishachu [46]

Answer:

3,200??

Step-by-step explanation:

It asked at the end what the total amount paid was but it says it right at the top. "Nicole bought a $3,200 computer...")

7 0
3 years ago
In △ABC, ∠C is a right angle and sinB=725.
scoundrel [369]

9514 1404 393

Answer:

  A  7/25

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement. In a right triangle, angle A is the complement of angle B. So, ...

  cos(A) = sin(B)

  cos(A) = 7/25

8 0
2 years ago
Other questions:
  • DE is parallel to XY what is x
    8·1 answer
  • He Earth completely rotates on its axis once every 24 hours.
    12·1 answer
  • The function g(x) = x2 is transformed to obtain function h:
    9·1 answer
  • (8.64×10 to the six power + (1.334×10 to the 10th power
    8·1 answer
  • Which equation
    11·1 answer
  • HELP PLEASE QUICKLY!!!!
    15·2 answers
  • Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through
    10·1 answer
  • Please answer this ASAP NO PHOTOS PLEASE
    10·2 answers
  • For problems 1–3, identify the terms, coefficients, constants, and factors of the given expressions.
    5·2 answers
  • Find the value of b if it is known that the graph of y=-3x+b goes through the point N (5,2)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!