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Sophie [7]
3 years ago
11

A train moving at a constant speed of 70.0 km/h moves east for 45.0 min, then in a direction 55.0° east of due north for 25.0 mi

n, and then west for 55.0 min. what is the average velocity of the train during this run? (let the +x-axis point towards the east and the +y-axis point towards the north.)
Mathematics
1 answer:
aalyn [17]3 years ago
5 0
We know the starting point and the ending point.  Find the vector that connects the starting point to the ending point, and then divide this by the total time elapsed (45.0 + 25.0 + 55) min.

The result will be your average velocity (a vector quantity).
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Find the least common denominator of 1/6 and 2/7
harina [27]

Answer:

it is it is 42

Step-by-step explanation:

7/42+12/42=19/42

5 0
2 years ago
I WILL MAKE YOU BRAINIST
nekit [7.7K]

Answer:

234

Step-by-step explanation:

We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.

We can use the summation formula:

S=\frac{(a_1+a_n)*n}{2}, where a1 is the first term, a_n is the last term, and n is the number of terms

Here, we can say the first term occurs when n = 2:

-4 + 5n

-4 + 5 * 2 = -4 + 10 = 6

The last term will be when n = 10:

-4 + 5n

-4 + 5 * 10 = -4 + 50 = 46

The number of terms is just 10 - 2 + 1 = 9 terms.

Substitute these in:

S=\frac{(a_1+a_n)*n}{2}

S=\frac{(6+46)*9}{2}=\frac{468}{2} =234

Thus, the answer is 234.

8 0
3 years ago
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employ
Andrei [34K]
Hello,

aPb=b*(b-1)*(b-2)*....*(b-a+1) / a!

3P5=5*4*3/(3*2*1)=10

If we name the number of the employers 1,2,3,4,5

Here are the choices:

123,124,125,134,135,145,234,235,245,345 (total 10 choices)

8 0
2 years ago
Read 2 more answers
Will mark brainliest if correct :)
Finger [1]

Answer:

d = 12

c = 4

so I think d > c

Step-by-step explanation:

1 x 12 = 12

0.75 x 4 = 3

12 + 3 = 15

8 0
2 years ago
A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.
yKpoI14uk [10]

Answer:

376 square centimeters

Step-by-step explanation:

When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.

The surface area of a rectangular prism is given by : 2(lw+wh+lh)

Where l is length, w is width, and h is height

Plugging in the new values we get:

2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376

The surface area of the enlarged prism = 376 cm^2

6 0
3 years ago
Read 2 more answers
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