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Doss [256]
3 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]3 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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soldier1979 [14.2K]

Answer:

y = 27

Step-by-step explanation:

if x = 10 when y = 540 ,  y = 54x

if x = 1/2 y = 54*1/2 = 27

y = 27

4 0
3 years ago
I NEED HELP PLEASE!!
Anna71 [15]

Answer:

m = 2

Step-by-step explanation:

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it will be m = 5 - 7

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m = -2/-1

the numerator and denominator can't be both negative

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3 years ago
Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer
musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16

The mean number of gallons can be calculated as:

M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8

3 0
3 years ago
Solve<br> y=-x2+2x+10<br> y=x+4
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Y=10
explanation:
-4•2= -8
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3 years ago
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