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kicyunya [14]
3 years ago
11

Find the radius of a sphere with a volume of 4.5 pi cubic centimeters

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

1.02

Step-by-step explanation:


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Which expression is equivalent to square root 8/x^6? assume x > 0
Alik [6]
<h2>Answer:</h2>

<u>The equivalent expression is </u><u> (2 / x ^ 3) * sqrt (2)</u>

<h2>Step-by-step explanation:</h2>

We have sqrt 8 / x ^ 6

 Rewriting the expression:

 =sqrt (8 / x ^ 6)

 =sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

 =(2 / (x * x * x)) sqrt (2)

= (2 / x ^ 3) * sqrt (2)

We get finally

 (2 / x ^ 3) * sqrt (2)

3 0
3 years ago
Read 2 more answers
If 168 chocolate chips weigh 5 1 4 ounces. How many chocolate chips are in an ounce?
mr Goodwill [35]

Answer:

(B). 32

Step-by-step explanation:

5\frac{1}{4} ounces when converted to a decimal number is (5+(1/4)=5+0.25 = 5.25 ounces.

Now if 168 cookies weight 5.25 ounces, there are

\frac{168cookies}{5.25ounces} =\boxed{32\:cookies/ounce}

32 cookies in an ounce, which is choice B.

6 0
3 years ago
Read 2 more answers
The area of a square garden is 50 m3. How long is the diagonal?
katen-ka-za [31]

Answer:

10 m

Step-by-step explanation:

If the area of a square is 50 m2, then the length of each side will be \sqrt{50} m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length \sqrt{50} m each.

the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:

(hyp)^{2} = (opp)^{2}   + (Adj)^{2}, so we have:

(diagonal)^{2}  = 50 + 50

(diagonal)^{2}  = 100

diagonal = 10 m

6 0
3 years ago
Part 3: Write the equation of and graph an ellipse.
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

8 0
3 years ago
Calculate. If possible, reduce your answers. 12+3·(11−15) =
katrin [286]

Answer:

60

Step-by-step explanation:

(11−15) = 4

12+3=15

15x4=60

6 0
3 years ago
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