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Yuki888 [10]
3 years ago
11

The height and sides of a triangle are four consecutive integers. the height is the first integer, and the base is the third int

eger. The perimeter of the triangle is 42 in. Find the area of the triangle.
Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

  84 in²

Step-by-step explanation:

The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.

These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...

  A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.

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the product of two whole numbers is 36 . what is the greatest possible sum that the number can have?​
ch4aika [34]

Whole numbers are positive numbers without decimals.  First, list all the whole number factors of 36:

1 and 36

2 and 18

3 and 12

4 and 9

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Next, see which one of those pairs has the highest sum:

1+36=37

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The greatest possible sum the numbers can have is 37.

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The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assu
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Step-by-step explanation:

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i.e. \mu=23.50

\sigma=5

We assume the distribution of amounts purchased follows the normal distribution.

Sample size : n=50

Let \overline{x} be the sample mean.

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Then, the probability that the sample mean is at least $25.00 will be :-

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