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zhannawk [14.2K]
3 years ago
7

What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

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I need help with this what would k be? Or is she correct
charle [14.2K]

Answer:

The value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

Step-by-step explanation:

We need to determine the value of k if 2^4=16^k

We are given:

2^4=16^k

Exponent rule, if bases are equal the exponents are equal

We can write 16= 2^4

2^4=(2^4)^k\\2^4=2^{4k}

Now since the base is same, i,e 2 so, the exponents will be same

4=4k\\k=1

So, the value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

3 0
3 years ago
Which measurements could represent the side lengths of a right triangle?
AfilCa [17]

Answer:

16 cm, 30 cm, 34 cm

Step-by-step explanation:

I got this answer simply by plugging each number into my calculator with the following equation:

\sqrt{x^{2} +y^{2} }

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.

6 0
3 years ago
What is y if x = 4 for the function y = 3x + 9?
Evgen [1.6K]
<h3>To find:-</h3>

Value of y

<h3>Given:-</h3>

x= 4

<h3>Solution :-</h3>

⟹ y = 3x + 9

⟹ y = 3 × 4 + 9

⟹ y = 12 + 9

<h3>⟹ y = 21</h3>
4 0
3 years ago
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x -
aliina [53]

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

6 0
3 years ago
find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
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