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Eva8 [605]
3 years ago
5

PLS HELP 15 POINTS! Find part “b”.

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

b=45/4

Step-by-step explanation:

This is a special triangle 30-60-90.

In big triangle hypotenuse 15, short leg x=(hypotenuse/2), x=15/2.

In smallest triangle :

1. This is also special triangle 30-60-90

2. x=15/2 hypotenuse

3. "a" is a shortest leg in the smallest triangle,

so a=(15/2)/2=15/4

a+b=15

15/4 +b=15

b=15 -15/4=15*4/4 -15/4 = 45/4

b=45/4

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(-9,-1)

Step-by-step explanation:

You plug in the x and y values and solve the algebraic expression.

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Make x the subject of the formula (help again)<br>I'm really bad at these <br><br>xk-w=y ​
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(9g - 6f)(9g + 6f)

Step-by-step explanation:

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3 0
2 years ago
You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b
Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

\mathbf{x = 100\ m}

\mathbf{\frac{dy}{dt} = 2\ ms^{-1}} ---- the rate

\mathbf{\theta = \frac{\pi}{4}}

First, we calculate the vertical distance (y) using tangent ratio

\mathbf{\tan(\theta) = \frac{y}{x}}

Substitute 100 for x

\mathbf{y = 100\tan(\theta) }

\mathbf{\tan(\theta) = \frac{y}{100}}

Differentiate both sides with respect to time (t)

\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}

Substitute values for the rates and \mathbf{\theta }

\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

This gives

\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

Divide both sides by 2

\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }

\mathbf{ \frac{d\theta}{dt} = 0.01 }

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0
2 years ago
A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that
kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

            Probability of winning project B = P(B) = 0.25

<u>Now, as we know that ;</u>

Probability that the company wins project A or project B = P(A \bigcup B)

              P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)

So, we have to find the value of Probability of winning project A and B, i.e;

P(A \bigcap B)

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

                    P(A \bigcap B) = P(A) \times P(B)

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Now, Probability that the company wins project A or project B is given by;

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Hence, probability that the company wins project A or project B is 0.50.

3 0
3 years ago
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