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Whitepunk [10]
3 years ago
9

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cabl

e to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

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Step-by-step explanation:

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3 0
3 years ago
A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0
3 years ago
Y = -4/3x − 1<br> y = 1/3x + 4
Tom [10]

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

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7 0
3 years ago
The back of a park bench is in the shape of a regular trapezoid, as shown in the figure.
ioda

Answer:

a

two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft

7 0
3 years ago
Read 2 more answers
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