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3 years ago

Can somebody plz help answer this word problem using equations thx :3 (only if u done this before) lol :)

Mathematics

1 answer:

ycow [4]3 years ago

8 0

Answer:

one num = 6

another = 24

Step-by-step explanation:

One number = x

Another = 4x

Difference = 18

4x - x = 18

3x = 18 ; x = 18/3 = 6

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

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3 years ago

A hotel has a pool in the shape of a rectangle. The pool is 8 m long, 3 m wide, and 2,000 cm deep. What is the volume of the poo

Maslowich

Ok, first you need to change the 2,000 cm into meters and then you just multiply all the sides.

4 0

3 years ago

Giovanna and Janet have jobs where they get paid by the hour .Below are the numbers of hours of each have worked on each of the

Harman [31]

I would need more information to help you. Like the numbers of hours worked, amount of money made, and the statements.

5 0

3 years ago

Please help me, will mark!!

BabaBlast [244]

Answer:

613 meters

Step-by-step explanation:

cos(50 degrees)=324/x

x*cos(50 degrees)=324

x=324/cos(50 degrees)

x=around 504.1

cos(35 degrees)=324/x

x*cos(35 degrees)=324

x=324/cos(35 degrees)

x=around 395.5

now lets find the distance in between the two people:

Distance from Shively to the tower

tan(50 degrees)=x/324

x=324*tan(50 degrees)

x= around 386.1

Distance from Sparzak to the tower

tan(35 degrees)=x/324

x=324*tan(35 degrees)

x=around 226.9

total distance=386.1+226.9=613 meters

8 0

3 years ago

You're on a train that's moving forward at 50 mph. You throw a ball in the direction that the train is moving. Relative to you a

dsp73

Answer:

$Velocity = 70mph$

Step-by-step explanation:

Given

$Train = 50mph$

$Ball = 20mph$

Required

How fast is the ball seem to be moving?

This question illustrates relative velocity;

Since the ball and the train moves in the same direction, the required velocity relative to the person standing behind is:

$Velocity = Train + Ball$

i.e. we add both velocities

$Velocity = 50mph + 20mph$

$Velocity = 70mph$

8 0

3 years ago