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3 years ago

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The Front wall of the shed that Rita built is 9 feet tall and 5 1/4 feet wide. after she cut out a section for a door the area o

f the wall was 26 1/4 ft.² the measurements of the doorway were whole numbers of feet what size is the doorway

1 answer:

finlep [7]3 years ago

7 0

The size of the doorway would be 21 ft

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1/2r + 2 (3/4r - 1) = 1/4r + 6<br><br>

gtnhenbr [62]

Answer:

r=32/7

Step-by-step explanation:

7 0

3 years ago

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I need help with this. Thanks <br><br><br> I need to find the degree

scoundrel [369]

Answer:

119.05°

Step-by-step explanation:

In general, the angle is given by ...

θ = arctan(y/x)

Here, that becomes ...

θ = arctan(9/-5) ≈ 119.05°

_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

__

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

3 0

3 years ago

A cylinder has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder? Express the answer in t

shutvik [7]

Answer:

The surface area for this cylinder is 252*pi square inches.

Step-by-step explanation:

The surface area of a cylinder can be calculated by using the following formula:

surface area = 2*pi*r² + 2*pi*r*h

Applying the data from the problem, we have:

surface area = 2*pi*(6)² + 2*pi*(6)*15

surface area = 2*pi*36 + 180*pi

surface area = 72*pi + 180*pi

surface area = 252*pi

The surface area for this cylinder is 252*pi square inches.

4 0

3 years ago

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(Use the Distributive Property to find an equivalent expression)<br> 2(3x-7y) = ?

IRINA_888 [86]

Answer:

(7y-3x)2

Step-by-step explanation:

It's the same thing but backwards

I hope this helps

6 0

2 years ago

How can I find a?<br> (Trigonometric Ratios)

earnstyle [38]

Step-by-step explanation:

Hey there!

<u>Use</u><u> </u><u>cos</u><u> </u><u>ratio to</u><u> </u><u>find </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>'</u><u>a'</u><u>.</u>

As per given, we can state that it is a Right angled triangle, so taking 38° reference angle.

We get;

p = AC

b = 6

and h= a

Here, <u>Use</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u>,</u><u> </u><u>h</u><u> </u><u>and</u><u> </u><u>3</u><u>8</u><u>°</u><u> </u><u>angle</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>a</u><u>.</u>

$\cos(38° ) = \frac{b}{h}$

$\cos(38°) = \frac{6}{a}$

$0.7881 = \frac{6}{a}$ [ cos(38°=0.7881]

$0.7881a = 6$

$a = \frac{6}{0.7881}$

Therefore the measure of a is 7.61 Or 8.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

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3 years ago