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ira [324]
9 months ago
7

What is the approximate length in inches of the radius of the circle

Mathematics
1 answer:
Mice21 [21]9 months ago
6 0

Given

The area of the circle is 1200 square inches.

To find the radius of the circle.

Explanation:

It is given that,

The area of the circle is 1200 square inches.

That implies,

\begin{gathered} Area\text{ }of\text{ }the\text{ }circle=\pi r^2 \\ \pi r^2=1200 \\ r^2=\frac{1200}{\pi} \\ r^2=381.972 \\ r=\sqrt{381.972} \\ r=19.5 \\ r=20inches \end{gathered}

Hence, the radius of the circle is 20 inches.

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A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0
3 years ago
Marcia needs to paint all the faces and the base of a model of a pyramid she made for her history project. The dimensions of the
Whitepunk [10]
The answer would have to be b
7 0
3 years ago
Help please!!!!!!!!!! Thank you
andre [41]
2b) stretching
2c) it is stretched by a factor of 2 of the parent function f(x)=x
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4 0
2 years ago
Lucy drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Lucy drove hom
Anastasy [175]

Answer:

The question is incomplete, the complete complete question will be:

Lucy drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Lucy drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Lucy live from the mountains?

Lucy live at a distance of 288 miles from the mountains.

Step-by-step explanation:

DATA:

To the mts DATA:

Time = 9 hrs

Rate = r mph

Distance = 9r miles

From the mts DATA:

time = 4 hrs  

rate = r+40 mph  

distance = 4(r+40) miles

SOLUTION

Distance to = Distance from

9r = 4r + 160

5r = 160

r = 32 mph

RESULT:

Distance = 9r = 9*32 = 288 miles

8 0
3 years ago
PLEASE HELP. 15 POINTS.
Vilka [71]

Answer:

The simplest EXACT answer is \sqrt{\frac{244}{9}.

A decimal form of this is approximately 5.207.

Step-by-step explanation:

Use the distance formula.

5 0
3 years ago
Read 2 more answers
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