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san4es73 [151]
2 years ago
15

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,

Mathematics
1 answer:
Vlad1618 [11]2 years ago
3 0

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

h=-16t^2+120t+10 .....(1)

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s

Put t = 3.75 in equation (1). So,

h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

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PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU
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c

Step-by-step explanation:

Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side

a doesn't work because 8+12=20 and 20 is not greater than 20

b doesn't work because 4+5=9 and 9<10

d doesn't work because 6+6=12 and 12 is not greater than 12

c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.

For example, for c,

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3 years ago
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Alexxx [7]

Answer:

z = 4.5

Step-by-step explanation:

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ΔBAD ~ ΔBCA

AB / z = BD / AB

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3 0
2 years ago
Find the molar mass in grams of <br> CaSO4 * 2H20<br> grams
adoni [48]

Answer:

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Step-by-step explanation:

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S = 32

O = 16

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4 0
3 years ago
a bee flies at 9 feet per second directly to a flower bed from its hive. the bee stays at the flower bed for 15 minutes then fli
qaws [65]

Answer:

Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.

Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.

Step-by-step explanation:

So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2

Knowing that information, lets solve what the question could be because I have no idea. The amount of distance from the hive to the flower bed is 1080 feet. I got this by doing 9 (the amount of feet per second) times 120 (the amount of seconds in 3 minutes.) You could do this with 6 but I found it easier to multiply 9*120 compared to 6*180.

If it's the commute time, we already solved that.

If I didn't answer the real question, please just comment on this.

6 0
3 years ago
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