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Kazeer [188]
2 years ago
5

A rectangle has an area of 18 square feet. A similar rectangle 1

Mathematics
1 answer:
avanturin [10]2 years ago
8 0

Answer:

Ratio = 9 :80

Step-by-step explanation:

Given

A_1 = 18ft^2 --- Area of smaller rectangle

A_2 = 160ft^2 --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

Ratio = \frac{A_1}{A_2}

Substitute values for A2 and A1

Ratio = \frac{18ft^2}{160ft^2}

Ratio = \frac{18}{160}

Simplify the fraction

Ratio = \frac{9}{80}

Represent as ratio

Ratio = 9 :80

<em>Hence, the ratio of the rectangles is 1 to 9</em>

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Which polynomial function has a leading coefficient of3 and roots -4, i, and 2, all with multiplicity 1?
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

7 0
3 years ago
To the nearest mile, what is the total distance that he ran?
ioda

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

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7 0
3 years ago
Please help, I need to get this done!<br>I need to get number 16, 17, and 18 done please help!!!!​
Tresset [83]

Answer:

16) 62.8 m²

17) 19.4 m²

18) 103.5 m²

Step-by-step explanation:

The formula to find area of a circle is: \pi r^{2}. To find radius, find the half of the diameter.

To solve number 16, first find the area of the unshaded circle using the formula: \pi 4^{2}. This is also 3.14*16. Multiply to get 50.24 m². Now find the area of the larger circle using the formula: \pi 6^{2}. This is also 3.14*36. Multiply to get 113.04 m². Now subtract 113.04 - 50.24 to get the shaded area or 62.8 m².

To solve number 17, first find the area of the square using the formula: side x side. In this case multiply: 5.25 x 5.25 to get 27.5625. Round to the nearest tenth to get 27.6 m². Now find the area of the circle using the formula: \pi 2.625^{2}. This is also 3.14*2.625. Multiply to get 8.2425. Round to the nearest tenth to get 8.2. Subtract 27.6 - 8.2 to get 19.4 m².

To solve number 18, find the area of one unshaded circle using the formula: \pi 1.75^{2}. This is also 3.14*3.0625. Multiply to get 9.61625. Round to the nearest tenth to get 9.6 m². Add 9.6 + 9.6 to find the area of both unshaded circles. You get 19.2 m². Now find the area of the shaded circle using the formula: \pi 6.25^{2}. This is also 3.14*39.0625. Multiply to get 122.65625. Round to the nearest tenth: 122.7. Subtract 122.7 - 19.2 to get 103.5 m².

Hope it helps and is correct!

5 0
3 years ago
What is the solution to the system of equations below?<br>2x+3y = 17<br>3x+6y= 30​
brilliants [131]

Answer:

<h2>x = 4, y = 3 → (4, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+3y=17&\text{multiply both sides by (-2)}\\3x+6y=30\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-4x-6y=-34\\3x+6y=30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\qquad\text{change the signs}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\2(4)+3y=17\\8+3y=17\qquad\text{subtract 8 from both sides}\\3y=9\qquad\text{divide both sides by 3}\\y=3

5 0
2 years ago
Read 2 more answers
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
BaLLatris [955]

Answer:

\sqrt{3} = m

Step-by-step explanation:

So we can say;

Tan(30) = m/3

=> Tan(30) * 3 = m

=> \sqrt{3} = m

Hope this helps!

8 0
2 years ago
Read 2 more answers
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