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pentagon [3]
3 years ago
15

What is 11.25 rounded to the nearest hundred

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0
Your correct sender would be exactly 0
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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Advocard [28]

Answer:

Volume increasing rate = 62831.85 mm^3/s

Explanation:

We rate of change of radius of sphere, \frac{dr}{dt} =2mm/s

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = \frac{4}{3} \pi r^3

Rate of change of volume = \frac{dV}{dt}

\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}

Substituting known values

     \frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s

Volume increasing rate = 62831.85 mm^3/s

8 0
3 years ago
A right triangular prism has a height of 3 ft, a width of 4 ft, and a hypotenuse of 5 ft. The depth of the triangle is missing.
DiKsa [7]
Depth=15
x=(height(h)*width(w)*hypotenuse(y))/2
x=(3*4*5)/2=(60/2)=30
y=(x(x-h)(x-w)(x-y))^(1/2)
f=(-h^4+2(hw)^2+2(wy)^2-w^4+2(hy)^2-y^4)^(1/2)
f=(-3^4+2(3*4)^2+2(4*5)^2-4^4+2(3*5)^2-5^4)^(1/2)
f=576^(1/2)
f=24
Surface Area= 2f(.5)+(h+w+y)*depth
192=depth*(3+4+5)+24(.5)
180=(3+4+5)*depth
180=(12)(depth)
15=depth

8 0
3 years ago
What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2
Oliga [24]

Given:

\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}

\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}

Subtract \dfrac{9}{10} from both sides.

\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}

\dfrac{x}{5}=\dfrac{15-9}{10}

\dfrac{x}{5}=\dfrac{6}{10}

\dfrac{x}{5}=\dfrac{3}{5}

Multiplying both sides by 5, we get

x=3

So, the missing value is 3.

Therefore, the correct option is C.

8 0
3 years ago
What is the value of x in the equation 9/10 (x + 2/3)=4 1/2
garri49 [273]
Get the x variable on one side and the numbers another side.

9/10(x + 2/3) = 4 1/2

Distribute the 9/10 across the x and 2/3.

(9/10)x + 18/30 = 4 1/2

Simplify 18/30 to make our life easier.

(9/10)x + 3/5 = 4 1/2

Subtract 3/5 from each side of the equation.

(9/10)x = 3 9/10

Divide both sides by 9/10.

x = 4 1/3
4 0
3 years ago
Read 2 more answers
Hey, I really need some help figuring out this question.
Alexandra [31]

Answer:

it's d

Step-by-step explanation:

because the answer would be the same on both sides

6 0
2 years ago
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