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ArbitrLikvidat [17]
2 years ago
12

Alpha bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the

group one-sixth of the pie, how many people are in the group?
Janasia finished 34 of the race in 6 hours. How long was the entire race?
Mathematics
1 answer:
Gnesinka [82]2 years ago
6 0
There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26

The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.
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1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge
Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

7 0
3 years ago
Please help me with this problem
oksian1 [2.3K]

Diagonal = SQRT(8^2 + 12^2 + 30^2)

Diagonal = SQRT(64 + 144 + 900)

Diagonal = SQRT(1108)

Diagonal = 33.3 feet

5 0
3 years ago
If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
BaLLatris [955]

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

6 0
2 years ago
Answer right = get brainliest
saw5 [17]

Answer:

i believe u add all of them up

Step-by-step explanation:

3 0
2 years ago
A spinner is divided into 5 equal sections numbered 1 to 5. The theoretical probability of the spinner stopping on 3 is 20%. Whi
adoni [48]
1243 i believe my dood
8 0
3 years ago
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