Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
Answer:
x = -0.25
Step-by-step explanation:
What is this supposed to be? Is there any actual question?
9514 1404 393
Answer:
14 minutes
Step-by-step explanation:
Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...
10t -13 = 127 . . . . . equation for minutes to carve
10t = 140 . . . . . . . . add 13
t = 14 . . . . . . . . . . divide by 10
It took Suki 14 minutes to pick out her pumpkin.
X = # dimes
y = # quarters
x+y = 20 so x = 20 - y
0.1x + 0.25y = 4.1
substitute x = 20 - y into 0.1x + 0.25y = 4.1
0.1x + 0.25y = 4.1
0.1(20 - y) + 0.25y = 4.1
2 - 0.1y + 0.25y = 4.1
0.15y = 2.1
y = 2.1 / 0.15
y = 14
x = 20 - 14 = 6
answer
Dimes: 6 coins
Quarters: 14 coins
Double check
6 + 14 = 20 coins total
6(0.1) + 14(0.25) = 0.6 + 3.5 = $4.10
