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klio [65]
2 years ago
6

A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu

al depicts the arrangement. Solve for the length of rope supporting the tent as well as the distance between the stake and the tent, if the tent is 40 feet tall Round to the nearest hundredth.
Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0

The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

  • The height of the tent = 40 ft
  • length of the rope = x

Get the value of x using the SOH CAH TOA identity

sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet

Hence the value of x is 34.64 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

p(x) =  - 2 {(x - 9)}^{2}  + 100

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

p(15) =  - 2 {(15 - 9)}^{2}  + 100

We simplify to get:

p(15) =  - 2 {(6)}^{2}  + 100

p(15) =  -72+ 100

p(15) =  28

6 0
2 years ago
A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

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The minimum monthly requirements are 768 pounds of potash, hence:

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Also, x ≥ 0 and y ≥0.

Therefore the equations are:

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16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

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2 years ago
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andre [41]

Answer:

Step-by-step explanation:

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