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Dafna11 [192]
1 year ago
14

Find the area of the figure pictured below.

Mathematics
1 answer:
Tomtit [17]1 year ago
4 0

Answer:

64 square units

Step-by-step explanation:

Split the figure into 2 rectangles of dimensions:

4 × 10

8 × 3

And solve.

(4 × 10) + (8 × 3) = 40 + 24 = 64 square units

See the attached image for a model.

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Step-by-step explanation:

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How much dirt is in a hole 5 feet wide, 2 feet long, and 3 feet deep?
Veseljchak [2.6K]

Answer:

30 ft of dirt.

Step-by-step explanation:

We want to know the volume, or the capacity, of the hole.

The formula for volume is to multiply the length, width, and height.

l x w x h

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So there is 30 ft of dirt in the hole.

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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0
3 years ago
5(x-8)=30<br> WILL GIVE BRAINLIST AND THANKS IF CORRECT
zvonat [6]

Answer:

x = 14

Step-by-step explanation:

5x - 40 = 30

+40       +40

5x   = 70

divide by 5 on both sides

x= 14

7 0
3 years ago
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