A triangle has a height of 8 feet and an area of 48 square feet. Find the base.

Mathematics

1 answer:

weqwewe [10]3 years ago

3 0

The base of the triangle is 12 because area of a triangle is 1/2 base times height

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Find the volume of a sphere with surface area equal to 100π ft^2

Anni [7]

Answer:

$V=\frac{500}{3}\ \pi(ft^{3})$

Step-by-step explanation:

Hello.

to find the volume of a sphere we must know its radius,

we don't know the radius but we have the area

$A=4\pi r^{2} \\ \\isolating\ r\\\\A=4\pi r^{2}\\r=\sqrt{\frac{A}{4\pi } } \\r=\sqrt{\frac{100\ ft^{2} }{4\pi}} \\\\ r= \sqrt{25\ ft^{2} }\\ r=5\ ft\\$

Now, replacing this value in the volume equation

$V=\frac{4\pi r^{3} }{3} \\V=\frac{4\pi\ (5\ ft)^{3} }{3}\\ V=\frac{4\pi\ (125 ft^{3}) }{3}\\V=\frac{500}{3}\ \pi (ft^{3})\\\\\\$

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8 0

3 years ago

Read 2 more answers

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rusak2 [61]

Answer:

53, 55, 57, and 59

Step-by-step explanation:

Let the numbers be

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x + x+2 + x +4 + x + 6 = 224 Combine like terms

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x = 53

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Check:

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3 years ago

What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?

adoni [48]

1.
All three angles are equal and their sum is 180. 
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2. 
Area of an equilateral triangle = (sqrt(3)/4 ) s^2 = 270.633 
s^2 = 270.633 / [ sqrt(3) /4] 
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Follow the procedure in the link: we don't need the altitude. 
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pav-90 [236]

Answer:

Theyre out of order.

Step-by-step explanation: