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mash [69]
3 years ago
14

PLEASEE HELPP RNN!! The volume of a cylinder is 2247 cubic centimeters and its radius is 4 centimeters,

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0

Answer:

Step-by-step explanation:

r and h are the radius and height

Volume = πr²h = πr²4 = 2247

r ≈ 13.4 cm

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The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

7 0
3 years ago
Read 2 more answers
If you bought something in Colorado for $80, you would be charged $2.32 in state sales tax. What is the state sales tax in Color
REY [17]


The state sales tax in Colorado is 2.9%.

We know that because we divide 2.32/80. We have to find out what percent the tax is of the amount paid. The answer comes to 0.029. Multiply it by 100, and you get 2.9%

3 0
3 years ago
Read 2 more answers
Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
3 years ago
PLEASE PLEASE OLEASE HELP ME ASAP I WILL LOVE U FOREVER
vodomira [7]

Answer:

m=3/2

look how many units go up and to the side between 2 points

As seen here, we go up 3 units and over 2 units from (0, -3) to (2, 0.) Therefore, slope is 3/2

Step-by-step explanation:

8 0
3 years ago
Please help me i dont know what the answer is ??
Assoli18 [71]
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
\frac{180}{3} = 60
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x

The missing angle measure, angle x, equals 18°.

Hope this helps!
7 0
3 years ago
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