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Dennis_Churaev [7]
3 years ago
5

What is the SURFACE AREA of the pyramid?

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

85in²

Step-by-step explanation:

s = side

triangle: ((b x h) ÷ 2) x 4

((5 x 6) ÷ 2) x 4 = 60in

square: s2(squared not 2)

5² = 25

total sa: 25 + 60 = 85in²

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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
Ket [755]

Answer:

  13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

  d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

  dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

  dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

  d = √((15t)² + (45+5t)²)

7 0
3 years ago
Find four consecutive integers such that twice the sum of the first and third is
disa [49]

Answer:

Hi,Can You answer mine too please I really need the answer because I have to pass it tomorrow morning at my 1st class:(can you please check my question I'll mark you BRAINLIEST:)I hope you can help me:)

Step-by-step explanation:

about your question I'll just put it in the comment section:)

6 0
2 years ago
I need to find the distance!whats the distance?
posledela

Answer:

Exact Form:

√ 61  (square root )

Decimal Form:

7.81024967 …

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

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A store has the following candles in a basket:
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This is your answer.

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