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olasank [31]
3 years ago
13

Find the value of x. If necessary, round to the nearest tenth.

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

x = 10.3 in

Step-by-step explanation:

To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.

A = 1/2x²

53 = 1/2x²

106 = x²

√106 = x

10.3 = x

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Answer:

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Step-by-step explanation:

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3 and 3 work therefore factor it out to

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alina1380 [7]
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The base of a triangle is 5 meters greater than the height. If the area of the triangle is 102 m2, which are the dimensions of t
kakasveta [241]

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Step-by-step explanation:

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A = b*h/2

where:

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b = 5m + h

A = 102 m^2 = b*h/2

We can replace the first equation into the second one:

b*h/2 = 102 m^2

(5m + h)*h/2 = 102 m^2

(5m + h)*h = 2*102 m^2 = 204m^2

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We can rewrite this as a quadratic equation:

h^2 + 5m*h - 204m^2 = 0

The solutions are given by the Bhaskara formula, the solutions are:

h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}

Then the two solutions are:

h = (-5m - 29m)/2 = -17 m

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The other solution is:

h = (-5m + 29m)/2 = 12m

This is positive, so this is the option we will use.

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Then the area is:

A = 12m*17m/2 = 102m^2

5 0
3 years ago
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Answer:

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40/.5 = .5P/.5

80 = P

7 0
3 years ago
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