Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft
Hope this helps!
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
× 2 + 
× 25
=2 × 
× 
+ 2 × × 10 × 25
Answer:
measure of angle ABC is 6 degree.
Step-by-step explanation:
After you found x, you'll plug it in the equation of the angle it's asking for.
Measure of angle ABD, and you know measure of angle ABC = 4x-1.
4(1)-1 = 4-1 = 3
Measure of angle CBD = 2x+1.
2(1) +1 = 3
Measure of angle ABC is ABD + CBD
3 + 3 = 6
Answer:
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Step-by-step explanation:
We have been given the equation y=ab^(x-h) +k and we have to state that how the value of k affect the graph.
We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.
In other words, the parent graph either get shifted upward or downward depends on the value of the constant.
Therefore, we have
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
