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2 years ago

Find the missing side in the similar figures below

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

Answer:

a. 28.8

Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

$\frac{x}{12} = \frac{25 + 35}{25}$

Solve for x

$\frac{x}{12} = \frac{60}{25}$

Cross multiply

$x*25 = 60*12$

$25x = 720$

Divide both sides by 25

x = 28.8

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3 years ago

A number pattern starts with 10 and follows the rule multiply by 3 What is true

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Answer:

B) They have a 0 in the ones place.

Step-by-step explanation:

Given

Number pattern that starts with 10.

Rule: Multiply by 3

Required

Select which statement is truth of the pattern.

First, the pattern needs to be listed out.

Given that the pattern starts from 10 and progresses by multiplying current term by 3.

The pattern is as follows;

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By comparing the given options with the above pattern of numbers. We have:

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B) They have a 0 in the ones place.

This statement is truth because all the numbers in the above progression ends in 0. This 0 represents the unit of one's place.

Hence, this statement is truth.

C) They have a 3 in the tens place.

This statement is false;

This is so because they have different digits at tens place. The tens place is the digit prior to the last digit of each number.

D) They can be odd or ever numbers.

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3 years ago

An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.

faltersainse [42]

Answer:

$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

$y=a(x-h)^2+k$ , (h,k) is the center

$y=a(x-50)^2+25$

the parabola starts at (0,0) that is (x,y)

$0=a(0-50)^2+25$

subtract 25 from both sides

$-25=a(-50)^2$

$-25=a(2500)$

divide both sides by 2500

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$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

$y=-\frac{1}{100}(40-50)^2+25$

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the height of the arch 10 feet from the center is 24 feet

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