Mathematics, 24.07.2019 13:00, angie249

The base and the height of triangle a are half the base and the height of triangle b. how many times greater is the area of triangle b?

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Let's say that the base of triangle a is 2 and the height is 3. That makes the base and height of triangle b 4 and 6. To find the area of a triangle, use the formula 1/2 multiplied by height multiplied by base. So the area of triangle a is 2 multiplied by 3 multiplied by 1/2 giving us 3. The area of triangle b is 1/2 multiplied by 4 multiplied by 6 giving us 12. Since 12 divided by 3 is 4, the area of triangle b is 4 times greater than the area of triangle a.

answered: molly7392

Answer : The area of triangle B is 4 times greater than the area of triangle A.

Step-by-step explanation :

Let the base of a triangle B be, x and the height of a triangle B be, y.

As we are given that, the base and the height of triangle A are half the base and the height of triangle B.

So, the base triangle A = $\frac{x}{2}$

and, the height triangle A = $\frac{y}{2}$

Now we have to determine the area of triangle A and B.

Formula used :

$Area=\frac{1}{2}\times Base\times Height$

Area of triangle A = $\frac{1}{2}\times \frac{x}{2}\times \frac{y}{2}$

Area of triangle A = $\frac{xy}{8}$

and,

Area of triangle B = $\frac{1}{2}\times x\times y$

Area of triangle B = $\frac{xy}{2}$

Now we have to take ratio of triangle A and B.

$\frac{\text{Area of triangle A}}{\text{Area of triangle B}}=\frac{(\frac{xy}{8})}{(\frac{xy}{2})}$

$\frac{\text{Area of triangle A}}{\text{Area of triangle B}}=(\frac{xy}{8})\times (\frac{2}{xy})$

$\frac{\text{Area of triangle A}}{\text{Area of triangle B}}=\frac{1}{4}$

$\text{Area of triangle B}=4\times \text{Area of triangle A}$

Hence, the area of triangle B is 4 times greater than the area of triangle A.

answered: Guest

the answer would be the last one (constat) she stays at the same rat every two mintues it goes up by 0.4

step-by-step explanation:

Which describes myra’s distance as time increases?

answered: Guest

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2 polynomial long division

dividing : x4+5x3-4x2-8x+6

("dividend")

by : x-1 ("divisor")

dividend x4 + 5x3 - 4x2 - 8x + 6

- divisor * x3 x4 - x3

remainder 6x3 - 4x2 - 8x + 6

- divisor * 6x2 6x3 - 6x2

remainder 2x2 - 8x + 6

- divisor * 2x1 2x2 - 2x

remainder - 6x + 6

- divisor * -6x0 - 6x + 6

remainder 0

quotient : x3+6x2+2x-6 remainder: 0

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The base and the height of triangle a are half the base and the height of triangle b. how many times...