Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,

We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,

So, the height of the cone is equal to 16x.
Answer:
add/hyp
Step-by-step explanation:
using SOHCAHTOA cosine of an angle A will be adjacent/ hypotenus
<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;

From the given data, the values are
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;

Multiplying both sides of the equation by 105, we get;



Rounding off to the nearest meter, we get;

Thus, the height of the kite is 70 meters.
Step-by-step explanation:
well first of all you have to expand the brackets. so 5(y+2)=4(x-3)
5y+10=4x-12
then you subtract 10
5y=4x-12-10=4x-22
then divide by 5 to get the value of y
y=(4x-22)/5
Length (L): 4w + 1
width (w): w
Perimeter (P) = 2L + 2w
62 = 2(4w + 1) + 2(w)
62 = 8w + 2 + 2w
62 = 10w + 2
60 = 10w
6 = w
Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25
Answer: 6 meters x 25 meters