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1 year ago

The sides of a triangle are 7, 8, and 10. What is the length of the shortest side of a similar triangle whose perimeter is 100.

Mathematics

1 answer:

aliya0001 [1]1 year ago

6 0

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Triangle 1:

side 1 = 7

side 2 = 8

side 3 = 10

Triangle 2:

Perimeter = 100

shortest side = ?

Step 02:

Triangle 1:

Perimeter = 7 + 8 + 10 = 25

Triangle 2:

shortest side

We must apply the properties of similar triangles.

$\frac{100}{25}=\frac{shortest\text{ side}}{7}$

25 * shortest side = 100 *7

shortest side = (100 *7) / 25 = 28

The answer is:

The lenght of the shortest side is 28.

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3 years ago

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The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality

Goryan [66]

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(b) P(A and B and C) = 0.0005

(d) P(A or B) = 0.31

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The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = $1-\frac{68}{1052}$

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = $(\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})$

P(A and B and C) = $\frac{5736888}{1164252608}$

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = $\frac{269}{1052} +\frac{130}{1052}$

P(D or F) = $\frac{399}{1052}$

P(D or F) = 0.379

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3 years ago

Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She

antoniya [11.8K]

Given:

The recipe calls for $\dfrac{2}{3}$ cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

$\dfrac{2}{3}$ cup of strawberries for = 1 gallon of lemonade

$1$ cup of strawberries for = $\dfrac{1}{\frac{2}{3}}$ gallons of lemonade

= $1\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{3}{2}$ gallons of lemonade

$6$ cup of strawberries for = $6\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{18}{2}$ gallons of lemonade

= $9$ gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

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2 years ago