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olga nikolaevna [1]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short are corresponding sides from each triangle.

So write:

\frac{4}{x} =\frac{3}{2.25}

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

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A proportion is often the ratio of different measures of the same thing:

e. g.   5 apples
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3 years ago
GIVING AWAY A LOT POINTS! PLEASE ANSWER!
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Alyssa took a math test for 20 questions and she answered 16 questions correctly in order to get an a she needs to answer at lea
Elenna [48]

Answer:

She did not qualify the exam.

Step-by-step explanation:

Given data

Total no of question in a test = 20

No. of question answered correctly = 16

Percentage of question answered correctly

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But in order to get in the exam the student must have to score at least 90 %. But she got only 80 % so she did not qualify the exam.

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3 years ago
A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?
adelina 88 [10]

Answer:

523.33 in^3

Step-by-step explanation:

A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball

Volume of a sphere = \frac{4}{3}πr^{3}

Where

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 10 in / 2 = 5 inches

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6 0
3 years ago
Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po
Hitman42 [59]

Answer:

14\ pounds

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is 10^3 times the weight of a cat. Based on this we can write the following equation:

e=10^3c

If the weight in pounds of the elephant is:

e=14,000

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14

3 0
3 years ago
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