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GaryK [48]
3 years ago
15

Find the cosine of ∠T.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem  a^2+b^2=c^2 with <em>a </em> and <em>b</em> being the side lengths and <em>c</em> being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37  to get the final answer.

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two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at
xz_007 [3.2K]

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

6 0
3 years ago
The expression -2(x-4) is the same as?​
Tomtit [17]

Answer:

-2x + 8

Step-by-step explanation:

I applied the distribution technique to the original question.

5 0
2 years ago
What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36
Goryan [66]

Answer:

36 : 6 and -6

12 = 2\sqrt{3} ,  -2\sqrt{3}

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = 2^2*\sqrt{3} *\sqrt{3}

\sqrt{12} = 2\sqrt{3}

also

12 = -2\sqrt{3} *-2\sqrt{3}

\sqrt{12} = -2\sqrt{3}

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

\sqrt{1.96}  = 14/10  \ or -14/10

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of  0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

\sqrt{400}  = 20\\\sqrt{400}  = -20\\

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6

7 0
3 years ago
What is the answer? 236,272 round to the nearest ten thousand
mr_godi [17]
The answer is just 236,000 I hope it helps and is right
8 0
3 years ago
Jason tracked the days of the week for the last 50 times he was assigned homework.
vovangra [49]

Answer:

Hello, mizuki here to help!

The correct answer would be C

Step-by-step explanation:

Ok, so the total of homework he got was 50, and the number of homework he got in monday was 16.

So.... it should be expressed as 16/50 which would be 0.32

3 0
3 years ago
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