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LekaFEV [45]
3 years ago
15

4/9, 0.4, 44/100 from greatest to least

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0
Greatest to least: 4/9, 44/100, 0.4.
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2 years ago
9x10^2 is how many times as much as 3x10^-2
Nikolay [14]

Answer:

3 times

Step-by-step explanation:

divide both numbers Which will give you 3

4 0
1 year 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.

3 0
3 years ago
Select all the expressions that are equivalent to 4x + 8
RoseWind [281]

Answer:

2(2x+4)  4(x+2)  2(2x)+2(4)

Step-by-step explanation:

5 0
3 years ago
..................................<br><br>......
AlexFokin [52]
How can we help you?
4 0
2 years ago
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