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JulijaS [17]
3 years ago
9

A cone has a volume of 100

s="latex-formula"> Cubic units and a diameter of 10 units. What is the height of the cone?
Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

12 units

Step-by-step explanation:

The formula for the volume of a cone is given as:

πr²h/3

The volume = 100π cubic units

Diameter = 10 units.

Radius = Diameter/2

= 10 units/2 = 5 units

Hence:

Formula to find the height of a cone

h = 3V/πr²

We substitute

h = 3 × 100π/π × 5²

h = 300π/25π

h = 12 units

The height = 12 units

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Divide 22 hours 24 minutes 40 seconds by 7​
miskamm [114]

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3 hours 12 minutes and 5.71 seconds

Step-by-step explanation:

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3 years ago
12/25 divided by 4 as a fraction?
Gemiola [76]

Answer:

3/25

Step-by-step explanation:

Since it is stated that 12/25÷4

It can also be written as 12/25/4

Which means 12/25×1/4

So let's solve

3/25

The Reason why we get 3/25 is because 12 is being divided by 4

So the final answer to the given question is 3/25

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Football teams toss a coin to see who will get their choice of kicking or receiving to begin a game. the probability that given
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P = 0.125</span>

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3 years ago
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Please solve with working thankyou
Lisa [10]

Answer:

m∠y=72°

Step-by-step explanation:

<u><em>The question is</em></u>

Find the measure of angle y

step 1

Find the measure of angle x

see the attached figure to better understand the problem

we know that

m∠x=67° -----> by corresponding angles

step 2

Find the measure of angle y

we know that

(m∠x+m∠y)+42°=180° -----> because form a straight line

substitute the measure of angle x

67°+m∠y+42°=180

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m∠y=180°-108°

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4 0
3 years ago
What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square
geniusboy [140]

Answer:

x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

A quadratic can generally be expressed as: y=ax^2+bx+c

So using the equation you gave: 0=x^2-5x-1

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0
2 years ago
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