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3 years ago

5

What is the value of X? Make sure to show all of your work! Hint: What does each angle measure in an equilateral triangle? You d

on't need to use the equation with Y at all.

1 answer:

Bogdan [553]3 years ago

5 0

Answer: X = 9

Show Your Work:
All Angles & Sides = 60.
All Triangles = 180.
60 x 3 = 180.

Angle N:
7x - 3 = 60
7 * 9 - 3 = 60.

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A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of

Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

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8 0

3 years ago

Combine like terms 6x^2+4(x^2-1)

ki77a [65]

6x^2 + 4(x^2 - 1) =
6x^2 + 4x^2 - 4 =
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4 0

3 years ago

Read 2 more answers

Eric starts with 10 milligrams of a radioactive substance. The amount of the

Ulleksa [173]

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Step-by-step explanation: Answer is explanation

5 0

3 years ago

Emilio's vegetable patch is 7 yards wide and 15 yards long. Emilio wants to build a fence

madam [21]

It would cost $132. 7+7+15+15X3=132

7 0

3 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

3 years ago