Answer:
100 cm³
Step-by-step explanation:
If you use 3 for π, then the factors of 3 cancel in the formula for volume, and you have ...
V = r²h
The radius is half the diameter, so is (10 cm)/2 = 5 cm. Filling in the given values, you find the volume to be ...
V = (5 cm)²(4 cm) = 100 cm³
Since the shape is a square, it has 90° angles.
if cut in half, it creates a 45-45-90 triangle.
using this, you can use the ratio of 1:sqrt2 to find x. so the ratio would be x:6 to 1:sqrt2.
divide 6 by sqrt2 to find x, and then rationalize for it to become 6sqrt2/2, which would simplify even further to 3sqrt2
Answer:
Increasing
−5<x<−1
−1<x<1
Decreasing
4<x<7
−8<x<−5
Neither Increasing nor Decreasing
1<x<4
Step-by-step explanation:
Answer:
8n - 4
Step-by-step explanation:
The numbers here go up in 8, so you have 8n. Afterwards, use the term and the 8 times tables. Eg. 4 is the first term and the first 8 multiple is 8, so 4-8. You have to subtract 4 from 8 to get the first term. Sorry if this didn't help but yeah...
Replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
f(x)=x-1
y=x-1
x=y-1
x+1=y
x+1=f⁻¹(x)
f⁻¹(x)=x+1