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kodGreya [7K]
3 years ago
13

A large balloon is tethered to the ground using a 95-foot cable. The wind is pushing the balloon so that the

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

Given the value of the trigonometric function, find the value of the other 5 ... A 25-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 75° with the ground. a. ... and use a variable to indicate the height of the balloon.

Step-by-step explanation:

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Rename the number 82000
Mrrafil [7]
<span>a few ways to rename 82 thousands is 82,000 or eighty-two thousands.</span>
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3 years ago
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Choose the appropriate pattern and use it to find the product: (p4−q4)(p4+q4).
sp2606 [1]

The expression can be solved by expanding the bracket and multiplying out the terms

(p^4-q^4)(p^4+q^4)\begin{gathered} =p^4(p^4+q^4)-q^4(p^4+q^4) \\ =p^8+p^4q^4-p^4q^4-q^8 \\ =p^8-q^8 \end{gathered}

Therefore, the expression can be simplified as;

p^8-q^8

Alternatively, using the theorem of difference of two squares, which is

a^2-b^2=(a-b)(a+b)

Hence,

p^8-q^8=(p^4)^2-(q^4)^2

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1 year ago
Need help please I’m begging yeah.
Simora [160]

Answer: The answer is B.

4 0
3 years ago
A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

h = 5324 / s^2 = 5324 / 22^2 = 11

4 0
3 years ago
There are at least 5 slices of bread left in the bag. Use p as your variable
kykrilka [37]

Answer: p ≤ 5

Step-by-step explanation: The inequality is: p ≤ 5

8 0
3 years ago
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