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Doss [256]
4 years ago
6

The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect

angle. All three measurements are integers (in other words, they are not fractions or decimals). The area of the rectangle is 12 square feet. What is the area of the circle? Use 3.14 as pi. Do not round the answer.​
Mathematics
1 answer:
Leno4ka [110]4 years ago
8 0

Answer:

706.5 ft²

Step-by-step explanation:

A. Width of the rectangle

The formula for the area of a rectangle is

A = lw

But, l = 3w, so,

A = (3w)w

= 3w² = 12

      w² = 4         Divided each side by 3

      w   = 2 ft     Took the square root of each side

B. Length of rectangle

l = 3w = 6 ft

C. Diameter of circle

d = 5l = 5 × 6 = 30 ft

D. Radius of circle

d = 2r

r = d/2     Divided each side by 2

r = 30/2 = 15 ft

E. Area of circle

A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²

The area of the circle is 706.5 ft².

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What are these equation answers:<br> * 4x+2y=10<br> * 3x+2=6y
guajiro [1.7K]

Answer:

1 Factor out the common term 22.

2(2x+y)=102(2x+y)=10

2 Divide both sides by 22.

2x+y=\frac{10}{2}2x+y=

​2

​

​10

​​

3 Simplify  \frac{10}{2}

​2

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​10

​​   to  55.

2x+y=52x+y=5

4 Subtract yy from both sides.

2x=5-y2x=5−y

5 Divide both sides by 22.

x=\frac{5-y}{2}x=

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​​

Step-by-step explanation:

1 Factor out the common term 22.

2(2x+y)=102(2x+y)=10

2 Divide both sides by 22.

2x+y=\frac{10}{2}2x+y=

​2

​

​10

​​

3 Simplify  \frac{10}{2}

​2

​

​10

​​   to  55.

2x+y=52x+y=5

4 Subtract yy from both sides.

2x=5-y2x=5−y

5 Divide both sides by 22.

x=\frac{5-y}{2}x=

​2

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​​

3 0
3 years ago
Can someone please help me ☹️
Vadim26 [7]

Answer:

When c = 6 and d = 34, there is one solution. When c = 8 and d = 6, there is no solution. When c = 8 and d = 12, there are infinitely many solutions.

Step-by-step explanation:

6x + 34 = 8x +12

-6x          -6x

34 = 2x +12

-12         -12

22 = 2x

11 = x

8x + 6 = 8x +12

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6 = 12

No solution

8x+12= 8x + 12

-8x-12  -8x - 12

0 = 0

Infinite solutions

7 0
3 years ago
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