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ozzi
3 years ago
6

What is the approximate radius of a sphere with a volume of 268 cm^3?

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Answer:

Step-by-step explanation:

V=\frac{4}{3}\pi r^3~=>r=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3*260cm^3}{4\pi}}=3.96 \approx4

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What is 47/3 radians in degrees?
xeze [42]
47/ 3 rad= 2820

have a great day
6 0
3 years ago
What are the intercepts of 2x + 3y – 6z = 30?
ycow [4]

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

<h3><u>Solution:</u></h3>

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

<em><u>Thus, at x- axis :</u></em>

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

<h3>Thus the intercept is (15, 0, 0)</h3>

<em><u>Thus at y - axis:</u></em>

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

<h3>Thus the intercept is (0, 10, 0)</h3>

<em><u>Thus at z - axis:</u></em>

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

<h3>Thus the intercept is (0, 0, -5)</h3>

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

6 0
3 years ago
NEED DONE ASAP!!
almond37 [142]

Answer:

A. 3x^2 + 4 = 52

     3x^2 = 52 - 4

     3x^2 = 48

       x^2 = 48/3

       x^2 = 16

        x    = \sqrt{16}

        x = 4

B. x^2 - 121 = 0

     x^2  = 121

       x = \sqrt{121}

       x = 11

C. (b + 4 )2 = 49

    2b + 8 = 49

    2b  = 49 - 8

     2b = 41

        b = 41/2

3 0
3 years ago
Question
nika2105 [10]

Answer:

y = -1

Step-by-step explanation:

(y+1)/(x-8) = (-1+1)/(-2-8)

(y+1)/(x-8) = 0

y+1 =0

y= -1

8 0
3 years ago
Write an equation for a line parallel to y=3x-3 and passing through the point (4,15)
Andrews [41]

Hello!

To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.

This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.

In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.

Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.

y = 3x + b (substitute the ordered pair (4, 15))

15 = 3(4) + b (simplify)

15 = 12 + b (subtract 12 from both sides)

3 = b

Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.

8 0
3 years ago
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