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2 years ago

Find the volume of the figure below.

Mathematics

1 answer:

skad [1K]2 years ago

8 0

$Volume\ = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \frac{22}{7} \times 15^3 = \boxed{14137.17\ ft^3}$

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Asha makes a conjecture that the perimeter of a square whose sides are an odd integer is always even. Which choice is the best p

Ivan

Answer: Bottom left corner

Let n be an odd number. Because 4n is a multiple of 2, it is an even number.

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Explanation:

The square has a side length of n, so its perimeter is 4n since n+n+n+n = 4n.

We can rewrite 4n as 2*2n = 2m where m = 2n is an integer. Any number in the form 2*(some integer) is always even. Even numbers always have 2 as a factor.

So whenever it comes to proving something is even, the ultimate goal is to get it into the form 2*(some integer). If we can do this, then the number is even. If not, then the number is odd.

4 0

2 years ago

Read 2 more answers

Two points in the xy plane have cartesian coordinates (1.50, −3.00) m and (−7.50, 7.50) m. (a) determine the distance between th

vova2212 [387]

Distance = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]

= sqrt 17,226.56 = 131.25 (answer)

3 0

2 years ago

Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)

kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

$a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°$

The law of the sines is:

$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$

Then:

$\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5$

$\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30$

8 0

2 years ago

What is the prime factorization of 28 and 50?<br> Explain if possible.

dangina [55]

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

3 0

2 years ago

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The solution set of 2-3x/4-8=3x/4

deff fn [24]

Step-by-step explanation:

$\\ \tt{:}\leadsto \frac{2 - 3x}{4 - 8} = \frac{3x}{4} \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\ \tt{:}\leadsto 8 - 2x = - 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{:}\leadsto 8 = - 12x + 2x \\ \\ \tt{:}\leadsto 8 = - 10x \\ \\ \tt{:}\leadsto x = \frac{ - 10}{8} \\ \\ \tt{:}\leadsto x = \frac{ - 5}{4}$

6 0

2 years ago

Read 2 more answers