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3 years ago

5

Find the amount of water displaced by a solid spherical ball of diametre

1 answer:

Vanyuwa [196]3 years ago

4 0

Answer:

1) 11498.65 $cm{3}$

2) 38.81 $cm{3}$

Step-by-step explanation:

amount of water displaced = volume of sphere

$=\pi rx^{3}$

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HELP!! For a right square pyramid, which shape could not be a cross section?

Artyom0805 [142]

Answer:

D. Rectangle

Step-by-step explanation:

If you cut the pyramid with a plane parallel to the base, a square is obtained. If the plane is perpendicular to the base, you can obtain two different figures; if the plane passes through the vertex, a triangle is obtained, but if it doesn't pass through the vertex, a trapezoid is obtained.

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4 years ago

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3[x + 3(4x – 5)] = 15x – 24

Alex17521 [72]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}$

Step-by-step explanation:

$\sf{3[ x + 3(4x - 5)] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{3[ x + 12x - 15 ] = 15x - 24}$

Collect like terms : 12x and x

⇒ $\sf{3[ 13x - 15 ] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{39x - 45 = 15x - 24}$

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒ $\sf{39x - 15x = - 24 + 45}$

Collect like terms

⇒ $\sf{24x = - 24 + 45}$

Calculate

⇒ $\sf{24x = 21}$

Divide both sides of the equation by 24

⇒ $\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

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Hope I helped!

Best regards! :D

5 0

3 years ago

Roman55 [17]

Answer:

Nevaeh will have 1224.33 and Paisley will have 1275

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3 years ago

Find the length of the missing side (nearest tenth).<br> 25 yd<br> 37 yd

Ket [755]

Answer:

27.3 yards

Step-by-step explanation:

Since this triangle is a right triangle, this can be solved using the equation:

a^2 + b^2 = c^2

c^2 is the side opposite to the right angle (37)

So, you need to change the equation to where it is set equal to b^2.

Subtract a^2 on both sides.

b^2 = c^2 - a^2

Now, plug in the numbers you have.

b^2 = 37^2 - 25^2

Simplify.

b^2 = 1369 - 625

b^2 = 744

Now, to find b, take the square root of 744.

√744 = 27.3

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3 years ago

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What is the line's slope?

yuradex [85]

Answer:

slope = -1/4

Step-by-step explanation:

(-2,5) to (-1,1)

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3 years ago