Answer:
y equals to 31
Step-by-step explanation:
6(5) = 30
30+1 = 31
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
79. Is 52 800 centimeters greater than 1 kilometer?
According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters.
Now, the given value of centimeters is equals to 52 800
=> 1 km = 100 000 cm
=> 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km.
Thus, the given is not correct. 52 800 cm is less than 1 kilometer.
Answer:
15/8 alphas = 1 gamma
Step-by-step explanation:
4 gammas = 5 beta
beta = 4/5 • gamma
2 betas = 3 alphas
beta = 3/2 • alpha
beta = beta
4/5 • gamma = 3/2 • alpha
multiply each side by 5/4
5/4 • 4/5 • gamma = 5/4 • 3/2 • alpha
gamma = 15/8 • alpha
<h2>
Answer:</h2>
cylinder
<h2>
Step-by-step explanation:</h2>
Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

Then the volume of a sphere is twice this volume:
