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Sliva [168]
2 years ago
12

A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet

, what is the area of the label the company needs? (Use 3.14 for .) A. 62.8 sq ft B. 314 sq ft C. 10 sq ft D. 219.8 sq ft
Mathematics
1 answer:
Elanso [62]2 years ago
7 0

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

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Kazeer [188]
2 3/4 acres is the same as 11/4 acres
To find how much of the land is beans, find how much is already taken up, and the rest is beans.
Farmland-Corn-Potatoes-Wheat=Beans
1-(1/4)-(1/12)-(5/8)=1/24

Corn: (1/4)x(11/4)=11/16 acres
Potatoes: (1/12)x(11/4)=11/48 acres
Wheat: (5/8)x(11/4)=55/32 acres or 1 23/32 acres
<span>Beans: (1/24)x(11/4)=11/96 acres</span>
4 0
2 years ago
Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8
blagie [28]

Answer:

x=-7\pm8i

Step-by-step explanation:

we have

x^{2} +14x+17=-96

Equate to zero

x^{2} +14x+17+96=0

x^{2} +14x+113=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} +14x+113=0

so

a=1\\b=14\\c=113

substitute in the formula

x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}

x=\frac{-14\pm\sqrt{-256}} {2}

Remember that

i=\sqrt{-1}

so

x=\frac{-14\pm16i} {2}

x=-7\pm8i

7 0
2 years ago
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Jerry drove 10 miles in half the time it took Marcy to drive 10 miles. If jerry average speed was r miles per hour what was Marc
Diano4ka-milaya [45]

Answer:

0.5r

Step-by-step explanation:

If Jerry took half the time Macy did then that means Macy took twice as long as Jerry. If Jerry’s speed was r then Macy’s speed is 0.5r or half the speed of Jerry. This will mean Macy goes half as slow and takes twice as long to get there.

8 0
2 years ago
Amanda can proofread 17 reports in an hour, while Sally can proofread 28 reports in an hour. If they have 420 reports to proofre
mafiozo [28]

Answer:

9 hours and 20 minutes.

Step-by-step explanation:

In one hour, Amanda can proofread 17 reports.

In one hour, Sally can proofread 28 reports.

That means together, they can proofread 45 reports in one hour.

So we need to divide the total amount of reports by how much they can read in an hour:

420/45 = 28/3 = 9 1/3

The time it takes between the two of them is 9 hours and 20 minutes.

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2 years ago
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Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that
Free_Kalibri [48]

Answer:

just copy and paste below

Step-by-step explanation:

Step-by-step explanation:Sample Response: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.

6 0
2 years ago
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