Answer:
using cos=adjacent/hypotenuse
Step-by-step explanation:
in this case cos(60)=x/4√3
x=cos(60)*4√3
x=3.46
Answer:
x = 24.5
Step-by-step explanation:
There are two similar triangles. In similar triangles the sides are in proportion.
Let's name big triangle as triangle 1 and small triangle as triangle 2.
The sides of the big triangle:
27 as base and the longest side (x + 7)
The sides of the small triangle:
base = 27 - 6 = 21
longest side = x
We need to find the value of x using proportion.
27/21 = (x + 7)/ x
By cross multiplying, we get
27(x) = 21(x + 7)
27x = 21x + 147
27x - 21x = 147
6x = 147
Dividing both sides by 6, we get
x = 147/6
x = 24.5
The value of x = 24.5
Hope you will understand the concept.
Thank you.
Answer:
250°
Step-by-step explanation:
The square root of 64 is greater than the square root of 25; (square root sign) 64 > (square root sign) 25
The formula for the volume of a sphere is the following:

Plug in V=5000π and solve for the radius.

Divide both sides by


Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

Take the cube root of both sides

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

Plug in r=15.5

The second choice is your answer.