Answer:
- so 8 cubed (8 × 8 × 8) in standard form is: 512
- so 8 cubed (8 × 8 × 8) in exponential form is: 8³
Step-by-step explanation:
As we know that
The cube of any given number is that number times itself.
For example, 8 cubed, denoted by 8³ is equal to 8 × 8 × 8.
An exponent basically indicates the number of times we must multiply the base number. For example, to compute 8³, we multiply 3 three times (8×8×8).
- so 8 cubed (8 × 8 × 8) in standard form is: 512
- so 8 cubed (8 × 8 × 8) in exponential form is: 8³
Answer: 300π
Step-by-step explanation: Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
To find 4/5 of 20.5 the first step is to convert 4/5 into a decimal. You can do that by dividing 4 by 5.
4/5 is .8 so your equation would now be .8 of 20.5
"of" states that you are multiplying, so .8 times 20.5 is 16.4
4/5 of 20.5 is 16.4
Answer:
B
Step-by-step explanation:
its b solve the first equation for y \
hope this helps
brainliest would be appreciated
