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Alina [70]
3 years ago
6

Kevin is riding his bike to work. He can bike 6 1/2 kilometers in 3/5 of an hour. How many kilometers can Kevin bike in one hour

?
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

If Kevin can ride 13/2 kilometers in 3/5 of an hour then he can ride 13/6 in 1/5 of an hour. If you multiply 1/5 of an hour by 5 you would get an hour which would also be 5x the distance as 13/6. Kevin can bike 65/6 or 10 and 5/6 kilometers in an hour.


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HLP HLP HLP HLP 10 10 10
Mrac [35]

Answer:

B. 4^{6} ÷ 5^{6}

Step-by-step explanation:

its a formula

8 0
2 years ago
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

x = 10

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
3 years ago
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
r-ruslan [8.4K]

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

5 0
2 years ago
Read 2 more answers
What is slope intercept
Aliun [14]

Answer:

Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Step-by-step explanation:

3 0
2 years ago
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