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3 years ago

Use the Pythagorean Theorem to find the missing length. Round your answer to the nearest tenth.

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .

= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 25 + 25 = x²

= 50 = x²

= 7.0710678119 = x

But they have given that we have to round it off to the nearest tenths , so ;

= 7.0710678119 will be equal to = 7.10

= 7.1 = x

Therefore , the length of the unknown side x = 7.1 .

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The mayor of a town receives 75% of the votes in a town election. If 680 people voted, how many votes did the mayor receive? 360

7nadin3 [17]

First you need to put everything as 1 unit. I'll convert both to fractions for now.
75% = 3/4

680/1 * 3/4

Cross Multiply

2040/4

Simplify

510

The mayor received 510 votes.

5 0

3 years ago

The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago

20 PTS!! PLEASE HELP

Levart [38]

Answer:

It may be D, correct me if i'm wrong.

Step-by-step explanation:

We already know that the majority of students will go to a college based on somebody else going to that college. With that in mind, we can draw a cause-and-effect conclusion summarizing why they want to choose that college (Because there friend) and the effect as there friend goes to that college.

8 0

3 years ago

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What is an equation of the line that passes through the points (6, 0) and (-1, -7)?

Orlov [11]

Answer:

y = x - 6

Step-by-step explanation:

We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:

slope = m = $\frac{6-(-1)}{0-(-7)} =\frac{7}{7}=1$

Our equation now looks like this: y = x + b

Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:

0 = 6 + b ⇒ b = -6

So, the equation is: y = x - 6.

Hope this helps!

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3 years ago

How much she makes per hour

Luda [366]

90÷5=18 which means she makes $18 every hour.

Answer= $18

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3 years ago

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