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2 years ago

Solve the equation for h? X=r-h/y

Mathematics

1 answer:

Troyanec [42]2 years ago

4 0

Answer:

h = yX -yr

Step-by-step explanation:

X=r-h/y

X - r = h/y

y*(X-r) = h

h = yX -yr

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10q - 20 is equivalent to _____

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The answer to your question is 10(q - 2)

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2 years ago

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup

mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = $\frac{2.5}{2}=1.25$

Height of can = $2.5\times 3=7.5$

The volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is radius of sphere.

The volume of a tennis balls is

$V=\dfrac{4}{3}\pi (1.25)^3$

$V=8.18123$

$V\approx 8.18$

Volume of three tennis balls is

$V_1=3\times 8.18=24.54$

The volume of cylinder is

$V=\pi r^2h$

The volume of can is

$V_2=\pi (1.25)^2(7.5)$

$V_2=36.81553$

$V_2\approx 36.82$

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

= 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

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3 years ago

Pivot question for final

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Answer:

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Step-by-step explanation:

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3 years ago

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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin

notka56 [123]

Answer:

$\huge{\boxed{\sf{ ( 3 , 3 ) }}}$

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) $\longrightarrow$ ( x1 , y1 )

B ( x , y ) $\longrightarrow$ ( x2 , y2 )

Now,

Midpoint = $(\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

⇒ $( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )$

Finding the value of x :

⇒ $-2 = \frac{-7 + x}{2}$

Do cross multiplication

⇒ $-4 = -7 + x$

⇒ $-7 + x = -4$

⇒ $x = -4 + 7$

⇒ $x = 3$

Now, finding the value of y

⇒ $2 = \frac{1+y}{2}$

Do cross multiplication

⇒ $4 = 1+y$

⇒ $1+y = 4$

⇒ $y = 4 - 1$

⇒ $y = 3$

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~ $\text{ TheAnimeGirl}$

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