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2 years ago

What is the length of the diagonal of the square shown below?

Mathematics

1 answer:

amid [387]2 years ago

5 0

Answer:

$7\sqrt{2}$

Step-by-step explanation:

Given is a picture of a square with each side = 7 units

Since a square is right angled we have the diagonal bisecting the square into two isosceles right triangles.

Use Pythagorean theorem to get the diagonal length.

Hence diagonal = $\sqrt{7^2+7^2} =7\sqrt{2}$

Alternate method:

Find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x, then diagonal will have length as

$x\sqrt{2}$

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The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Dominik [7]

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

$z=\frac{x}{y}$

we have

$x=24\ in$

$y=1,450\ ft$

substitute

$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

8 0

3 years ago

Read 2 more answers

Tom, Mary and Bill are aged 10,12 and 15 years respectively. They share 259 euros in the same ratio as their ages. Find how much

tigry1 [53]

Answer:

70 , 84 , 105

Step-by-step explanation:

sum their ages , 10 + 12 + 15 = 37

divide the amount by this sum to find the value of one part of the ratio.

259 ÷ 37 = 7 ← value of 1 part of the ratio , then

10 parts = 10 × 7 = 70 euros ← Tom's share

12 parts = 12 × 7 = 84 euros ← Mary's share

15 parts = 15 × 7 = 105 euros ← Bill's share

7 0

2 years ago

Find the domain of the graphed function. (Please help me)

mel-nik [20]

Answer:

Step-by-step explanation:

I belive it is a .

8 0

3 years ago

If x and y are real numbers such that x > 0 and y < 0, then

klemol [59]

Answer:

Step-by-step explanation:

The third one

8 0

2 years ago

Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of

slava [35]

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

$f(x) = A \cos(x+C).$

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

$|A| = 4$

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

8 0

3 years ago