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vfiekz [6]
1 year ago
7

LEVEL 3

Mathematics
1 answer:
klemol [59]1 year ago
5 0
Maybe adcblhgfe maybe
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A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?
ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%

30.56% of volume of the grapefruit is the peel.

4 0
2 years ago
Name the additive inverse of square root 52
KATRIN_1 [288]

Hey!!

Additive inverse = the opposite

The square root of 52 is 7.2 ( approx )

the additive inverse is -7.2

Hope my answer helps!

3 0
2 years ago
Read 2 more answers
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep af
Tpy6a [65]

Answer:

The total length of the trip was 400 miles.

Step-by-step explanation:

He fell asleep at 44% through the trip, they already had traveled 176 miles.

.44x = 176 ⇒

176 ÷ .44 ⇒

x = 400

8 0
2 years ago
Read 2 more answers
A project’s critical path is composed of activities A (variance .33), B (variance .67), C (variance .33), and D (variance .17).
julia-pushkina [17]

Answer:

The standard deviation on the critical path = 0.834

Step-by-step explanation:

Variance of activity A (V_{1}) = 0.33

Variance of activity B (V_{2}) = 0.67

Variance of activity C (V_{3}) = 0.33

Variance of activity D (V_{4}) = 0.17

Thus the standard deviation on the critical path (\alpha ^{2}) = V_{1} ^{2} + V^2_{2} +  V^2_{3} + V^2_{4}

                                                                             \alpha ^{2}  = 0.33^{2} + 0.67^{2} + 0.33^{2} + 0.17^{2}

                                                                             \alpha ^{2} = 0.6956

                                                                             \alpha = 0.834

The standard deviation on the critical path = 0.834

4 0
2 years ago
OLYMPICS The number of men and women participating in the Winter
Nadusha1986 [10]

Answer:I can’t see the rest.

Step-by-step explanation:

4 0
2 years ago
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