Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is
, where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that
. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:



The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:



The height of the triangle is 60 centimeters.
Answer:
$672
Step-by-step explanation:
I am a master in mathematics!!
Answer:
4.8 inches
Step-by-step explanation:
<em>See comment for complete question</em>
Represent the larger triangle with 1 and the smaller with 2.
So, we have:
-- height of 1
Required
Determine H2 --- Height of 2
To do this we apply dilation formula.

In this case:

Substitute 6 for H1 and 0.8 for Scale Factor


Hence, the height of the smaller triangle is 4.8 inches
Answer:

Step-by-step explanation:
The formula of a surface area of a sphere:

R - radius
We have

Substitute and solve for R:
<em>divide both sides by π</em>
<em>divide both sides by 4</em>

The formula of a volume of a sphere:

Substitute:
