Answer:
A hope that helps
Step-by-step explanation:
Using the power law (x^27 ⋅ y)^1/3 equals x^9 ⋅ x^1/3.
Raising a number to the 1/3 is the same as cube rooting.
So the simplified response is x^9(cube root of y).
answer: 2nd choice
Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone:
r²
Volume of hemisphere: 
r³
Surface area of cone without base:
rl
Surface area of hemisphere without base: 2
r²
We can just apply the formulas for the question:
Volume of toy = (
× 6² ×
) + (
×
6³)
= 96
+ 144
= 240
= 754cm³ (3 s.f.)
Surface area of toy = (
× 6 × 10) + (2 ×
× 6²)
= 60
+ 72
= 132
= 415cm² (3 s.f.)
These are the equations:
2L+2W=58
L=W+5
Now plug in the second one in the first one:
2(W+5)+2W=58
4W+10=58
4W=48
W=12
L=17
Change all the terms so that they have a common denominator