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3 years ago

I literally have no clue how to do this.

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:

Step-by-step explanation:

Sine is opposite divided by the hypotenuse.

sin(30) = 9/y

1/2 = 9/y

y = 18

Cosine is adjacent divided by the hypotenuse

cos(30) = x/18

$\frac{\sqrt{3} }{2}=x/18\\x=9\sqrt{3}=15.6$

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Simplify by combing like terms: 7/2x-8.62-3/2x-2.38

chubhunter [2.5K]

$\bf \cfrac{7}{2}x-8.62-\cfrac{3}{2}x-2.38\implies \cfrac{7}{2}x-\cfrac{3}{2}x-8.62-2.38\implies \cfrac{7x-3x}{2}-11
\\\\\\
\cfrac{4x}{2}-11\implies 2x-11$

5 0

3 years ago

Read 2 more answers

A city places 18 trash cans along a 13.5 miles stretch of beach. The trash cans are placed an equal distance apart. How many mil

Goryan [66]

Answer:

0.7941 miles

Step-by-step explanation:

I would think of this situation as a giant ruler.

The 18 trash cans can be thought of as endpoints on intervals in this giant ruler.

1--------2 --------3 --------4-----------5

If you notice the numbers that I wrote, there are five of them, but there are 4 intervals.

So we need to minus one from 18 to get 17 equal length intervals so that the trash cans are equally spaced.

Interval length = 13.5 miles / 17 intervals = 0.7941 miles

5 0

3 years ago

What is the sum of two numbers is 45 and theire difference is 5

adelina 88 [10]

Answer:

let the two numbers be x and y

x+y=45(equation 1)

x-y=5(equation 2)

from equation (1) y=45-x(equation 3)

substitute 45-x for y in equation 2

x-(45-x)=5

x-45+x=5

x+x-45=5

2x-45=5

2x=45+5

2x=50

x=50/2

x=25

6 0

3 years ago

The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsigh

marta [7]

Answer:

10000*0.6065=6065

A. about 6,065

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

$P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}$

And the parameter $\lambda$ represent the average ocurrence rate per unit of time.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda=0.5$ , $Var(X)=\lambda=0.5$ , $Sd(X)=707$

Solution to the problem

We want "how many would have no blemishes" so first we need to find the probability that X=0, since X represent on this case the number of blemishes on each door. And if we use the mass function we got this:

$P(X=0) =0.5^0 \frac{e^{-0.5}}{0!}=0.6065$

And now since we have a total of 10000 doors painted we can find how many we would expect with no blemishes:

10000*0.6065=6065

A. about 6,065

4 0

4 years ago

Manu had ₹ 120. He bought one book for ₹ 25.75 and a pen for ₹ 12.50. How much money does he have now?

adelina 88 [10]

Answer:

₹ 81.75

Step-by-step explanation:

Total = ₹ 120.

He bought one book for ₹ 25.75 and a pen for ₹ 12.50.

₹ 25.75 + ₹ 12.50 = ₹ 38.25

How much money does he have now?

₹ 120 - ₹ 38.25 = ₹ 81.75

8 0

3 years ago

Read 2 more answers