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Sergio [31]
2 years ago
11

What is the volume of this solid?

Mathematics
1 answer:
olganol [36]2 years ago
6 0

Answer:452.4

Step-by-step explanation:

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How do you do this?please help
d1i1m1o1n [39]

Answer:

10.5 ft.

Step-by-step explanation:

1. Find the radius of the larger circle

4/7 = 3/r --> the ratio should be <em>constant</em>

cross-multiplication: <em>21 = 4r</em>

Divide: <em>r = 5.25 ft.</em>

2. Find the circumference

Equation: <em>C = 2πr</em>

C = <em>2π*5.25</em>

C = 10.5π ft.

7 0
3 years ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.
kirza4 [7]
10x+y-(10y+x)=36\\&#10;10x+y-10y-x=36\\&#10;9x-9y=36\\&#10;x-y=4\\\\&#10;x,y\in\{1,2,3,4,5,6,7,8,9\}\\&#10;\Downarrow\\&#10;x=5,y=1\\&#10;x=6,y=2\\&#10;x=7,y=3\\&#10;x=8,y=4\\&#10;x=9,y=5&#10;&#10;&#10;

There are 5 such numbers - 51,62,73,84,95
6 0
3 years ago
dude, I just got almost all of my points taken away from somebody that has 0 answers, 0 questions, and almost 2 million points..
Finger [1]

Answer:

:O

Step-by-step explanation:

7 0
3 years ago
Simplify x + 4 - 5x - 2
Blababa [14]

Answer:

-2(2x-1)

Step-by-step explanation:

x+4-5x-2

1) collect like like terms

-4x+2

2) factor out the -2

-2(2x-1)

3) that gives you the final answer of

-2(2x-1)

7 0
3 years ago
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