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1 year ago

9x -2 > 5 < 3x Find the third side?

Mathematics

1 answer:

Ksju [112]1 year ago

5 0

The length of the third side is a-2. :))

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List the the single -digits factor of 924.

Natalka [10]

1,2,3,4,6,7,8. This is the answer

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3 years ago

A right triangle has side lengths 12 centimeters and 14 centimeters. Name two possible side lengths for the third side, and expl

madam [21]

Answer:

If 12 and 14 are both side lengths then we solve for the hypotenuse:

hypotenuse^2 = 12^2 + 14^2

hypotenuse^2 = 144 + 196

hypotenuse^2 = 340

hypotenuse = sq root (340) = 18.4390889146

If hypotenuse = 14, then third side equals:

(3rd side)^2 = 14^2 - 12^2

(3rd side)^2 = 196 -144

(3rd side)^2 = 52

3rd side = sq root (52) = 7.2111025509

Step-by-step explanation:

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2 years ago

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What fractions added equal 14/15

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Answer:

There are 3 equivalent fractions 28 /30, 42/45,56/6

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3 years ago

The value of the solid’s surface area is equal to the value of the solid’s volume. Find the value of x.

Lubov Fominskaja [6]

Whats the equation exactly?

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3 years ago

The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago