Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
One way to find the least common multiple of two numbers is to first list the prime factors of each number.
8 = 2 x 2 x 2
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: three occurrences
3: one occurrence
So, our LCM should be
2 x 2 x 2 x 3 = 24.
So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.
<span>(2.5×10^−10)(7×10^−6)
= (2.5 x 7) (</span>10^−10 x 10^−6)
= 17.5 x 10^-16
= 1.75 x 10^-15
answer
<span>B. 1.75×10^−15 </span>
Answer:
5
Step-by-step explanation:
To solve for hypotenuse we use the Pythagorean theorem:
In this theorem:
c= hypotenuse
a = leg
b = leg
Substitute into theorem:
(square root both sides)
Therefore the hypotenuse has a length of 5.
Please say thanks if correct :)
Given:
The statement is "-3 raised to the power 0".
To find:
The value of the given expression.
Solution:
We know that 
raised to the power 
can be written as 
.
Any non zero number raised to the power 0 is always 1. It means,
, where 
.
-3 raised to the power 0 
Therefore, the value of the given statement is 1.
