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laila [671]
2 years ago
15

5. The area of the trapezoid is 75 square inches. Find the height of the trapezoid. And it’s two bases are 10 and 15.

Mathematics
1 answer:
Sphinxa [80]2 years ago
4 0

Answer:

The answer is 6

Step-by-step explanation:

A=½(b1 + b2) h

we substitute

Area=75

the two bases are 10 and 15

75=½(10+15) h

75=½(25)h

75=(1*25/2)h

75= 25h/2

75/1= 25h/2

25h*1= 75*2

25h= 150

we divide by 25

25h/25= 150/25

h=6

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Use the law of cosines to write an expression equivalent to b
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Given:

A triangle ABC.

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It can be written as:

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3 0
2 years ago
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this
Rasek [7]

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that \mu = 328, \sigma = 82

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

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

0 = \frac{X - 328}{82}

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The cut-off dollar amount is $328.

7 0
2 years ago
If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Eva8 [605]

Answer:

x = 2 or x = -3

Step-by-step explanation:

Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.

Thus:

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(x^2 + x) = 6

Solve for x

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Factorise

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7 0
2 years ago
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