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3 years ago

What is the distance between 5 and -4

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

Step-by-step explanation:

you just count backwards from 5 until you reach -4

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For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

I exercise for hour an half everyday.how many minutes in total do i exercise for 5 days

LenaWriter [7]

Answer:

450 minutes

Step-by-step explanation:

1 hour and a half = 90 minutes in one day

90 (minutes) × 5 (days) = 450 minutes

6 0

3 years ago

Discuss the possible reasons for the differences in price in Leomande. Discuss ways to find unit prices using proportions. The l

Maru [420]

There are many reasons why there are differences in price in Lemonade.
The first is the volume or amount of the Lemonade. Obviously, the greater the amount of the Lemonade, the higher is its price.
The price of the lemonade is given, the unit price then is
$4.99/95 ounces = $0.053/ounce
Another reason is the difference in the ingredients. Some Lemonade might have additional ingredients that could make the price higher.
The difference in materials costs in different areas may also be the reason.

6 0

3 years ago

8 gal/h = ________ pt/min

docker41 [41]

$1gal=8pt\\1h=60min\\\\8\ gal/h=8\times\frac{8pt}{60min}=\frac{64}{60}\ pt/min=\frac{16}{15}\ pt/min=1\frac{1}{15}\ pt/min$

5 0

3 years ago

AB has endpoints at A(-4, 4) and B(5, -1).<br> Find the coordinates<br> (x, y) of the midpoint.

kramer

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

3 0

1 year ago

Read 2 more answers