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ICE Princess25 [194]
3 years ago
6

the family trip to grandma's consists of both a train ride in a car ride the average speed of a train ride was 78 miles per hour

and the average speed of a car ride was 50 miles per hour the entire trip lasted 7 hours write an expression for the total distance of the trip in miles
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
The anser is 135 miles it was

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Suppose that cos = 12/13 what is sin what is cos 2
riadik2000 [5.3K]
First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x.  To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or            opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5.  Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp  =  5/13   (answer)


cos 2 is an entirely different kind of problem.  Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator:  cos 2 = -0.416.  Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.
8 0
3 years ago
Which of the following is a which of the following is a rational number?
Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

<u>Math</u>

  • Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
  • Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

<u>Step 1: Define</u>

A. √25

B. √123

C. √20

D. π

<u>Step 2: Identify</u>

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0
3 years ago
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0
3 years ago
What is 3(x+2)-10=4x-6+x <br>​
Natalija [7]

Answer:

1=x or x=1

Step-by-step explanation:

3(x+2)-10=4x-6+x

distribute

3x+6-10=4x-6+x

combine like terms

3x-4=5x-6

subtract 3x from each side

-4=2x-6

add 6 to both sides

2=2x

divide by 2

1=x or x=1

8 0
3 years ago
Read 2 more answers
A plane travels south for 120 km. The plane then travels north for 45 km.
umka2103 [35]

Answer:

displacement = 75 km

Step-by-step explanation:

the distance from final to initial point gives the displacement

displacement = 120 - 45

4 0
4 years ago
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