Answer:
The volume of the sphere is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2
we know that
The radius of the maximum circle in the sphere is equal to the radius of the sphere
Step 1
Find the radius of the maximum circle
The area of the circle is
we have
substitute and solve for r
Simplify
take the square root both sides
Step 2
Find the volume of the sphere
The volume of the sphere is
substitute the value of r
Answer:
45
Step-by-step explanation:
first take the $310 and add the $50 in profit and you get $360 divide that by $8 and you get 45
The small arcs inside the triangle show that they are similar, so first find the ratio between the similar sides that both have given lengths.
JK is 25, and MN is 30.
30/25 = 1.2
This means the larger triangle is 1.2 times the size of the smaller one.
So MP needs to equal 1.2 x the length of JL:
JL = 20
20 * 1.2 = 24
Now you have 4x-4 = 24
Now silve for x:
Add 4 to each side:
4x = 28
Divide both sides by 4:
x = 28 / 4
x = 7
10 + -70
Step-by-step explanation:
There's a lot of different approaches to this question, but the easiest one I see is this:
If a chord goes through the center of the circle, it is a diameter. That's 180 degrees we don't have to worry about. 47 is an inscribed angle, so we can multiply it by two to get 94 degrees. Subtract 94 from 180 to get 86.
See y? It's also an inscribed angle. To get it, we just take the 86 we just found for the remaining arc and divide by two.
The measure of y is 43.
