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nlexa [21]
2 years ago
15

If your the bus driver and you have 30 kids on the bus. But the first stop 10 kids get off the bus how old is the bus driver?

Mathematics
1 answer:
ozzi2 years ago
3 0

Answer:

P.ut your age since you're the bus driver

Step-by-step explanation:

Hope this helps!

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Given that tan0= -1, what is the value of sec0, for 3pi/2<0<2pi?
Maru [420]

Answer: Choice B. sqrt(2)

Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how

tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1

Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long

a^2 + b^2 = c^2

(1)^2 + (1)^2 = c^2

2 = c^2

c^2 = 2

c = sqrt(2)

The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with

sec(theta) = hypotenuse/adjacent

sec(theta) = AC/AB

sec(theta) = sqrt(2)/1

sec(theta) = sqrt(2) which is why choice B is the answer

7 0
3 years ago
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A common flea can jump a distance of 33 cm. Suppose a flea makes five jumps of this length in the northwest direction. If the fl
7nadin3 [17]
Solution: 33*5= 165   W= sqrt (165^2 - 88^2)                                                                                                                           Solve: 165^2 = 27225    88^2 = 7744                                                                                                                                 Now, Square root 27225/√ 19481 = <span>139.574353 (139.57)                                                 So, the fleas westward displacement is 139.57 cm</span>                                                                 
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3 years ago
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Krutika and Natasha win some money and share it in the ratio 3:4. Krutika gets £39. How much did Natasha get?
grin007 [14]

Answer:

22.28 Pounds

Step-by-step explanation:

Add 3+4=7

39 ÷ 7=5.57

Because Natasha has the ratio of 4 she would get

5.57 × 4=22.28

Answer=22.28

4 0
2 years ago
eremy loves movies. He likes to watch movies and someday he hopes to make one of his own. He likes to ask questions about movies
IrinaVladis [17]
One movie-related statistical question would be the length of people's favorite movies (in minutes). This would contain variability since people would have different favorite movies, which would have different lengths.
One movie-related question that does not yield variability is the number of movies released in 2018 that grossed more than $100 million. This would be a fixed fact, so there is no variability about this.

8 0
3 years ago
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
ANEK [815]

Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

 more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
2 years ago
Read 2 more answers
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