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Sliva [168]
3 years ago
12

Using π = 3.14, what is the circumference of a circle with a radius of 12 units?

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

452.16

Step-by-step explanation:

πr²

π=3.14

3.14 x 12² = 452.16

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Segment BD is an altitude of triangle ABC. Find the area of the triangle.
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Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

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3 years ago
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If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
kkurt [141]

Answer:

Step-by-step explanation:

x²-8x-20

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Step-by-step explanation:

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