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3 years ago

Find the measure of the third side. Round your answer to the nearest whole number.

Mathematics

1 answer:

mote1985 [20]3 years ago

3 0

In triangle ABC,
AB^2 = CA^2+CB^2 (pyth. theorem)
AB^2 = 9^2 + 12^2
AB = √ 9^2+12^2
AB = √ 225
AB = 15

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AfilCa [17]

Answer:

The answer would be D. 5

Step-by-step explanation:

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2 years ago

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Triss [41]

Answer:

42390 ft³

Step-by-step explanation:

Since the tanks are congruent, they both have same volume.

If you rejoin them, it will form a cylinder with the radius of 15 ft and height of 120 ft.

<u>The volume of the cylinder:</u>

V = πr²h = 3.14*15²*120 = 84780 ft³

<u>The volume of each tank is half the volume of the cylinder:</u>

V(tank) = 84780 / 2 = 42390 ft³

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3 years ago

Read 2 more answers

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Musya8 [376]

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after launch is given by the equation $h(t) = -16t^2 + 120t + 8$

We need to find how many seconds until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation $h(t) = -16t^2 + 120t + 8$ we can find time t

We have h(t)=40

$h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0$

Now, we will solve the quadratic equation using quadratic formula: $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =16, b=-120 and c=32

Putting values and finding t

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28$

So, we get t= 7.22 and t=0.28

The correct options are Option A and Option G

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3 years ago

Alligators lay between 20 and 50 eggs in a nest. A park ranger in Everglades national park counted the number of eggs in 28 nest

zlopas [31]

40×28= the answer is 1,120 eggs that he counted

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3 years ago

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viva [34]

Answer:

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Step-by-step explanation:

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3 years ago

Find the measure of the third side. Round your answer to the nearest whole number.​

Find the measure of the third side. Round your answer to the nearest whole number.