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Dominik
12 days ago
11

The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles

with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
Mathematics
1 answer:
tester [3.9K]12 days ago
7 0

9514 1404 393

Answer:

96 cubic feet

Step-by-step explanation:

The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

Thus, 96 cubic feet of concrete will be required.

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Inessa [3907]
629.20 divided by 520 equals 1.21
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7 0
7 days ago
Stacy wishes to reduce the milk fat content of 5 pints of cream which is 15% fat by combining it with 7 pints of milk which is o
AnnZ [3877]

Answer:

The fat percentage in the blend amounts to 8%.

Step-by-step explanation:

Let

x -----> represent the fat percentage in the mix.

We understand that

The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.

Keep in mind that

15% = 15/100 = 0.15

3% = 3/100 = 0.03

therefore

5(0.15)+7(0.03)=(5+7)(x)

Now, solve for x

0.75+0.21=12x

0.96=12x

x=0.08

Convert that into a percentage

0.08*100=8\%

4 0
1 day ago
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r
Svet_ta [4321]
<span>P(black socks): 24/42 or 12/21
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6 0
2 days ago
If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to
lawyer [4008]

Answer: Ana should produce more fudge, and Leo should produce more toffee.

Step-by-step explanation:

Comparative advantage defined: A person or country has a comparative advantage producing a good if their opportunity cost for it is lower than someone else's.

In this case, Ana and Leo will both benefit if they focus on the product for which they have the lower opportunity cost.

(a) Ana’s production possibilities:

If she spends all her time making fudge: 3 pounds; or toffee: 2 pounds.

Opportunity cost of 1 pound fudge = 2/3 = 0.66 pounds toffee

Opportunity cost of 1 pound toffee = 3/2 = 1.5 pounds fudge

(b) Leo’s production opportunities:

All time making fudge: 4 pounds; or toffee: 5 pounds.

Opportunity cost of 1 pound fudge = 5/4 = 1.25 pounds toffee

Opportunity cost of 1 pound toffee = 4/5 = 0.8 pounds fudge

Since Ana’s opportunity cost for fudge is lower than Leo’s, she should specialize in fudge production.

Conversely, Leo has a lower opportunity cost for toffee, so he should focus on producing toffee.

7 0
14 days ago
The perimeter of the triangle is 44cm.if it’s sides are in the ratio 9:7:6.find its area
AnnZ [3877]

Answer:

The area calculates to 83.905 cm^3

Step-by-step explanation:

The overall ratio is 9 + 7 + 6 = 22

Thus, the side lengths are computed as follows;

9/22 * 44 = 18 cm

7/22 * 44 = 14 cm

6/22 * 44 = 12 cm

Heron’s formula allows us to determine the area of the triangle

First, we calculate s

s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22

Heron’s formula can be expressed as;

A = √s(s-a)(s-b)(s-c)

where a, b, and c are 18, 14, and 12 respectively

Plugging in the values, we obtain;

A = √22(22-18)(22-14)(22-12)

A = √(22 * 4 * 8 * 10)

A = √(7,040)

A = 83.905 cm^3

3 0
6 days ago
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