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Vadim26 [7]
3 years ago
5

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use

3.14 for TT.
Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

V = \pi r^2h

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that h = 12, r = 1.5

What is its volume?

V = \pi r^2h = 3.14(1.5)^2(12) = 84.78

It's volume is of 84.78 cubic inches.

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On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\c
lianna [129]

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

7 0
3 years ago
A company makes gift boxes in different sizes following the pattern shown below. What is the volume of the fourth gift box to th
AVprozaik [17]

The volume of the fourth box is of 410.1 cubic inches.

---------------------

The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:

V = A_bh

---------------------

  • For the first three boxes, the height is constant at 9 inches.
  • At the base, the <u>edge length is multiplied by 1.5</u> each time, as \frac{4.5}{3} = \frac{3}{2} = 1.5, thus, for the fourth box, the edge length, in inches, will be of 4.5 \times 1.5 = 6.75

---------------------

  • Square base, of<u> length 6.75 inches</u>, thus:

A_b = 6.75^2 = 45.5625

  • Height of <u>9 inches</u>, thus h = 9 and:

V = A_bh = 45.5625(9) = 410.1

The volume of the fourth gift box will be of 410.1 cubic inches.

A similar problem is given at brainly.com/question/23756783

4 0
3 years ago
In a bag there are 10p coins, 20p coins and 50p coins
Scrat [10]

Answer:

Approximately 25p (please change to pounds by yourself I'm not European, sorry).

Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25

Step-by-step explanation:

<h3>let's say:</h3><h3>10p= <em>x</em></h3><h3>20p=<em> </em><em>y</em><em> </em></h3><h3>50p= <em>z</em><em> </em></h3><h3>'3 fewer 20p (<em>y</em><em>)</em><em> </em>coins than 10p (<em>x</em>) coins'</h3><h3>Therefore:</h3><h3>y-3=<em>x</em><em> </em></h3><h3>and <em>y</em>= <em>x</em>+3</h3><h3>'7 more 50p coins (<em>z</em>) than 10p coins (<em>x</em>)'</h3><h3>That is:</h3><h3><em>z</em>+7= <em>x</em></h3><h3><em>z</em><em>=</em><em> </em><em>x-7</em></h3><h3>'altogether are 61 coins'</h3><h3><em>x</em><em>+</em><em>y</em><em>+</em><em>z</em><em> </em><em>=</em><em> </em>61 </h3><h3>(substitute for y and z)</h3><h3><em>x</em><em> </em>+ <em>x</em><em> </em>+ 3 + <em>x</em><em> </em>- 7 = 61</h3><h3><em>x</em><em>+</em><em>x</em><em>+</em><em>x</em><em>+</em><em>3</em><em>-7</em><em> </em><em>=</em><em> </em>61</h3><h3>3<em>x</em><em> </em>- 4= 61</h3><h3>3<em>x</em>= 61 + 4</h3><h3>3<em>x</em>=65</h3><h3><em>x</em>= 65÷3</h3><h3><em>x</em>= (approximately) 21.6 </h3><h3>(Substitute <em>x</em><em> </em>in <em>y</em><em> </em>and <em>z</em>)</h3><h3><em>y</em><em> </em><em>=</em><em> </em><em>x</em><em>+</em>3</h3><h3><em>y</em><em> </em>= 21.6 + 3 = 24.6 (approximately 25)</h3><h3><em>z</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>-7</h3><h3><em>z</em><em>=</em><em> </em>21.6-7= 14.6 (approximately 15)</h3><h3>y= 20p </h3><h3>y= 25p (approximately)</h3><h3 /><h3><u>Check</u><u> </u></h3><h3>x+y+z= ?</h3><h3>21.6 + 24.6 + 14.6= 60.8 (approximately 61)</h3>

(Sorry I couldn't change to pounds)

And I tried to explain as much as possible, you can ask if you're confused.

5 0
3 years ago
Algunos números dibisibles entre 3 son divisibles entre 4​
Drupady [299]

Answer:

si

Step-by-step explanation:

por ejemplo 12

12÷3=4. 12÷4= 3.

al hacer la división el resultado es exacto o sea que no te sobra nada y no llegas a un número decimal.

4 0
3 years ago
I also need help with this question: One day at 3:00 a.m., the temperature was -13F in Kodiak, Alaska. At 10:00 a.m., the temper
insens350 [35]
Over 7 hours the temperature changed 35 degrees
35/7 gives you 5 degrees per hour
6 0
3 years ago
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