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MAXImum [283]
3 years ago
9

Analyze the diagram below and complete the instructions that

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

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Answer:

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Step-by-step explanation:

5 0
4 years ago
Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

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3 years ago
The 20 girls in the class represented 55% of the students in the class. How many students are in the class?
inna [77]

Answer:

There are 31 students in the class.

Step-by-step explanation:

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3 years ago
Read this E[2X^2 â€" Y].
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E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]

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Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²

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Answer:

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Step-by-step explanation:

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