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Alex
3 years ago
9

Yolanda drove 315 miles in 5 hours.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

756 miles

Step-by-step explanation:

315/5=63

So, 63=unit rate.

63 times 12=756.

756 miles

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Write a scenario that could work for the following line of best fit y= x + 1 explain the slope and Intercept in this context
puteri [66]
A kid has $1 and he receives $1 everyday after doing his homework. So the initial money that he has is the y-intercept and the money that he receives everyday is the slope.

Hope this helps :)
6 0
3 years ago
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

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3 years ago
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There fractions not holes
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3 years ago
Write 3 Ratios for 5/45
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It would be: 5/45 = 1/9 = 10/90 = 15/135
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Hope this helps!
3 0
3 years ago
Read 2 more answers
A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term of the sequence is 120, what is f(5)?
kumpel [21]
<u><em>Answer:</em></u>
f (5) = 7.5

<u><em>Explanation:</em></u>
<u>The function given is:</u>
f (n+1) = -0.5 f (n)

<u>We are also given that:</u>
first term is 120
<u>This means that:</u>
f (1) = 120

<u>We will get the other terms by substitution as follows:</u>
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f (3) = -0.5 f(2) = -0.5(60) = 30
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f (5) = -0.5 f(4) = -0.5(-15) = 7.5

Therefore, f (5) = 7.5

Hope this helps :)
5 0
3 years ago
Read 2 more answers
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