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3 years ago

Find the volume of a half sphere with a radius of 10

1 answer:

7 0

The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (4*pi*r^3/3)(1/2)
v = 4*pi*r^3/6
plug in the data:
v = 4*pi*(10)^3/6
v = 2094.4
that is the volume of the half sphere

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Find the value of x in the triangle shown below

olga nikolaevna [1]

Answer:

102

Step-by-step explanation:

it is an isosceles triangle as two sides are equal i.e 3.3 so angles opposite to equal sides are also equal so 39 plus 39 plus x = 180°

78 plus x =180

x=180-78

x=102°

hope it helps

8 0

3 years ago

In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.

zvonat [6]

Part i

$\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}$

$y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}$

Substituting,

$y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1$

Answer: -1

Part ii

I'm not sure that one's typed in correctly but I'll solve it as written.

$3-34y + 2a = \dfrac{3b-5}{2c + 1}$

$34y = 3+2a-\dfrac{3b-5}{2c + 1}$

$y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)$

We're not asked to simplify it so I wont. Substituting,

$y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}$

Answer: 59/306

3 0

3 years ago

Can somebody help me???!!!!:/

PilotLPTM [1.2K]

$26,000,000,000=2.6\cdot10^{10}\\\\
\dfrac{4.94\cdot10^{13}}{2.6\cdot10^{10}}=\boxed{1.9\cdot10^3}$

3 0

3 years ago

PLEASE HELP, URGENT!!

EastWind [94]

Answer:

I don't get it

Step-by-step explanation:

7 0

4 years ago

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallon of blue paint. M

Sauron [17]

Here is the set up:

(3/4)[(11/8) + (11/9) + (7/8)]

Do the math to find your answer.

3 0

4 years ago

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