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3 years ago

Use the Law of Sines to solve for x. Round to the nearest whole number.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

6 0

Answer:

12.94

Step-by-step explanation:

By the law of sines:

x / sin(35) = 7.9 / sin70

x = 7.9 * sin(70)/sin(35)

= 7.9 * 0.9397 / 0.5736

= 12.94

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FIND THE VALUE OF X

Crazy boy [7]

Answer:

By using the rule that the interior angles of any triangle equal 180 we see that:

m<ABC+m<CAB+m<ACB=180°

Therefore,

(2x+15)+(x+10)+(3x+5) = 180°

Now we have an equation and can solve for x:

Combine like terms:

(2x+15)+(x+10)+(3x+5) = 180°

6x+30=180°

6x+30-30=180-30

6x=150

x=25

To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:

2x+15

2(25)+15

x+10

25+10

3x+5

3(25)+5

75+5

65+35+80=180

x=25 is valid

Step-by-step explanation:

7 0

3 years ago

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

Help ASAP!!<br><br> Worth 40 points!!!

Vlad1618 [11]

12 x g + 1
Hope this help you

7 0

3 years ago

Read 2 more answers

Select the statement that describes the expression 7+2n

sineoko [7]

because 7+2n

sum is addition

2n is multiplication

6 0

3 years ago

Read 2 more answers

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same

yanalaym [24]

Answer:

30 cubic feet

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = $\frac{1}{3}$ * Volume of rectangular pyramid

= $\frac{1}{3}$ * 90

= 30

8 0

3 years ago