The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the h
1 answer:
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Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = and tan60° =
, then
sin60° = =
=
( cross- multiply )
x = 4
( divide both sides by
)
x = 4
and
tan60° = =
=
( multiply both sides by y )
y = 2
( divide both sides by
)
y = 2
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.
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.