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2 years ago

i need help finding the height of a cone and i do not know where to start. any help will be greatly appreciated:))

Mathematics

1 answer:

Aliun [14]2 years ago

3 0

Answer:

h=12

Step-by-step explanation:

First look at the formula for finding the volume of a cone- $V=\pi r^{2} \frac{h}{3}$

Next substitute any variables for values you already know- $144\pi =\pi (6)^{2} \frac{h}{3}$

Then solve the equation.

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aleksley [76]

So to set up the equation we have: 4M4+M=127
28M=12(4+M)
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3 years ago

Plutonium-240 decays according to the function Q(t) = Qoe^-kt

LuckyWell [14K]

Answer:

9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

Q(t) = 12 = 36e^(-0.00011t)

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t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

t ≈ 9990 . . . years

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2 years ago

12y+15=24-6y ??????????????????

lyudmila [28]

Answer:y=1/2

Step-by-step explanation:

7 0

3 years ago

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

$20=25-n(A\cap B)$

Subtract both sides by 25.

$20-25=-n(A\cap B)$

$-5=-n(A\cap B)$

$5=n(A\cap B)$

We need to find the number of people who have a school certificate only, i.e. $n(A\cap B')$ .

$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

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2 years ago

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3 years ago

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