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BARSIC [14]
3 years ago
6

The area of a triangle is 24 sq. inches. If the base of the triangle is 6 inches, what is its height?

Mathematics
2 answers:
il63 [147K]3 years ago
5 0
Area of triangle = 0.5 base height


24 = 0.5 x 6 height 

height = 8 inches
Shtirlitz [24]3 years ago
3 0

Answer: 8inches

Step-by-step explanation:

First we have to know the formula for the area of a triangle

A = (1/2)bh

Where

b = base

h = height

That's half of the base multiplied by the height

Are now we make the height the subject of formula since that's what we are looking for

Multiply both sides by 2

2A = 2((1/2)bh) =bh

divided both sides by b

2A/b = h

h = 2A/b

So we both the value of the A and b in the equation

h = 2(24)/6 = 2(4) = 8inches

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Julia is allowed to watch no more than 5 hours of television a week. so far this week, she has watched 1.5 hours. write and solv
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7 0
3 years ago
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2 years ago
Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
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