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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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I think it is

Step-by-step explanation:

(18.0, 22.0). We are 95% confident that the mean age of university students is between 18 and 22.

4 0
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Ierofanga [76]

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3 years ago
A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for th
Harman [31]

Answer:

  • when the input = 4
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Step-by-step explanation:

It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.

Let 'x' be the number

Decreasing twice the number 'x' by 4 = 2x-4

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As the output will decrease twice the input (x=5) by 4

Thus, the output = 2(5)-4 = 10-4 = 6

Therefore,

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Answer:

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Step-by-step explanation:

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to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

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Answer:

Step-by-step explanation:

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