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mario62 [17]
3 years ago
11

Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the

heights and the areas of the two triangles proportional?
Mathematics
1 answer:
Scrat [10]3 years ago
4 0

YES

  • Area of Triangle 1

Base=b

Height= h

Area 1=A1=1/2*b*h

  • Area of Triangle 2

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

  • Comparing A1 and A2

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.

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-7 x - 2y = -13 <br> x - 2y = 11
VashaNatasha [74]
Well the first one would convert to
-2y= 7x-13 and the second one would be -2y=-x+11 and you solve from there (lmk if you need the steps) but your final answer would be. Y= -7/2x+ 13/2 and y=1/2x - 11/2
8 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
2. A restaurant employs five people. The two cooks work 36 hours
Cloud [144]

Answer:

Total amount = R5112

Step-by-step explanation:

Let the cooks be C.

Let the waiters be W.

Given the following data;

Number of cooks, C = 2

Number of waiters, W = 3

a. To find the amount earned by each cook;

C = 36 * R36 = R1296

b. To find the amount earned by each waiter;

W = 30 * R28 = R840

c. To find the total amount earned by the employees;

Total amount = 2C + 3W

Total amount = 2(1296) + 3(840)

Total amount = 2592 + 2520

Total amount = R5112

4 0
3 years ago
Education Is Fun has created a new board game called Math Maze. The company is trying to increase its sales. Its marketing divis
Paladinen [302]

A)20

B)History

C)$5

D)yes

4 0
3 years ago
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Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes 1 1/15 cups of flour. What is a reasona
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Answer:

36.

Step-by-step explanation:

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3 years ago
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