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3 years ago

Can someone please help!! I will give all stars

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
sin (38) = 24/x
x *sin (38) = 24
x = 24/ sin (38)
x = 38.98
x = 39.0

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Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph. T

Licemer1 [7]

Answer:

48 minutes

Step-by-step explanation:

Given: The distance between A and B is 8 miles. Speed of one jogger is 4 miles per hour, and speed of other jogger is 6 miles per hour.

To find: After how many minutes will the joggers meet, if they are running towards each other.

Solution:

Let both the joggers will meet after t hours, at point P between A and B.

We know that $Distance=speed\times time$

Let the jogger running at a speed of 4 miles per hour starts from point A.

So,

$AP=speed\times time$

$AP=4\times t$

$AP=4t$

Let the jogger running at a speed of 6 miles per hour starts from point B.

So,

$BP=speed\times time$

$BP=6\times t$

$BP=6t$

We have,

$AP+BP=AB$

$\implies4t+6t=8$

$\implies10t=8$

$\implies t=\frac{8}{10}$

$\implies t=0.8$

So, both the joggers will meet after 0.8 hours or $0.8\times60=48$ minutes.

Hence, the joggers will meet after 48 minutes.

5 0

4 years ago

The number of employees for a certain company has been decreasing each year by 2%. If the company currently has 690 employees an

solmaris [256]

Answer:

511 employees

Step-by-step explanation:

Given data

P=690

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time = 13 years

let us apply the simple interest formula

A=P(1-rt)

Note the negative sign (since we are dealing with decrease)

A= 690(1-0.02*13)

A=690(1-0.26)

A=690*0.74

A=510.6

A= 511 approx

Hence the population will reduce to 511 employees

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3 years ago

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4 years ago

What is the value of X?

alukav5142 [94]

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