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4 years ago

Rachel bought a rug for her apartment. The rug is 11

1 answer:

6 0

Answer: the diagonal is 14.21 feet. Explanation: So imagine the rug has the vertexes A, B, C, and D. The length (A to B) is 11 ft, and the width (B to C) is 9 ft. You want to find the distance between A and C. The AC line creates two right triangles in the rug, so you can use the Pythagorean theorem to solve the problem. The Pythagorean theorem is a^2 + b^2 = c^2 (or in this case, AB^2 + BC^2 = AC^2). Plug in the number (you should have 11^2 + 9^2 = AC^2). Simplify the equation to get 202 = AC^2. Square both sides to get the answer. You should an answer around 14.21 ft.

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Given △DEF, which is not equal to cos(F)? sin(F). sin(D). tan(F). cos(D)

valentina_108 [34]

Answer: The correct option is tan(F).

Explanation:

In the given figure the triangle is a right angle triangle because $\angle E=90^{\circ}$ .

It is also given that $DE=EF=5$ and $DF=5\sqrt{2}$ .

Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.

$\cos (F)=\frac{Base}{Hypotenuse} =\frac{5}{5\sqrt{2}} =\frac{1}{\sqrt{2}}$

The value of cos(F) is $\frac{1}{\sqrt{2}}$ .

$\sin (F)=\frac{Perpendicular}{Hypotenuse} =\frac{5}{5\sqrt{2}} =\frac{1}{\sqrt{2}}$

The value of sin(F) is $\frac{1}{\sqrt{2}}$ .

$\sin (D)=\frac{Perpendicular}{Hypotenuse} =\frac{5}{5\sqrt{2}} =\frac{1}{\sqrt{2}}$

The value of sin(D) is $\frac{1}{\sqrt{2}}$ .

$\tan (F)=\frac{Perpendicular}{Base}=\frac{5}{5} =1$

The value of tan(F) is 1. Which is not equal to $\frac{1}{\sqrt{2}}$ .

$\cos (D)=\frac{Base}{Hypotenuse} =\frac{5}{5\sqrt{2}} =\frac{1}{\sqrt{2}}$

The value of cos(D) is $\frac{1}{\sqrt{2}}$ .

Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.

3 0

3 years ago

Read 2 more answers

Which statements are true about the number 17/5? Check that all apply

Verdich [7]

Hello!

Here are your answers:

-It is greater than 3

-It is between 3 and 4

This is based off of the options that were given.

3 0

3 years ago

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2 + 2 Which of the following expressions can be used to find the area of a square with a side length of fraction 1 over 3 m?

kondor19780726 [428]

Answer: A = 1/3 x 1/3 or A = 1^2/3^2 These are the expression I can think of

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3 years ago

Last year Ben earned $22,500. He expects his earning to be 23% greater this

Marysya12 [62]

Answer:

Ben expected to earn $27,675 this year.

Step-by-step explanation:

First, to be able to determine the difference between this year and last year, you would multiply $22,500 by 0.23 (or, 23% in decimal form).

When you do that, the answer comes out to 5,175.

So then, you add $22,500 and $5,175 in order to get the value that he expected to earn this year. That comes out to $27,675, which is your final answer.

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3 years ago

There are 40 grams of sugar in a 12 oz can of Dr Pepper. If your max intake of sugar permitted for the day is 25 grams, how much

LenKa [72]

You would be able to drink 7.5oz of the can while you would only intake 25grams of sugar

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4 years ago

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