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Nikitich [7]
3 years ago
5

Which property is illustrated by the equation 3(mn)=(3m)n?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
5 0
Associative property of multiplication
...........................................................
Elenna [48]3 years ago
3 0
That would be the associative property
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Find the difference of the following sequence: -7, -9, -11...<br><br> Difference: ___
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Hmmmmmm I think I know the answer to this
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CAN SOMEONE PLEASE HELP ME DO THE EQUATION
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y=2/5x


5y=2x

so y=2x÷5=2/5x

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3 years ago
In a survey, 99 out of 100 people are not left-handed. what proportion of people are left-handed according to this survey?​
Mnenie [13.5K]

Answer:

1 out of 100

Step-by-step explanation:

99 out of 100 people are NOT left-handed, that means they are right handed. 100-99=1

6 0
3 years ago
If a 15 ft tall adult giraffe casts a 18 ft long shadow, then how long is the shadow that a 5 ft tall bird bath casts?​
Lemur [1.5K]

Answer:

<h3>x = 6 ft. long shadow</h3><h3></h3>

Step-by-step explanation:

its a ratio and proportion:

<u>  15 ft. tall giraffe     </u>   =  <u>   5 ft. tall bird    </u>

    18 ft. shadow                 x shadow

15 (x) = 18 (5)

x = 90 / 15

x = 6 ft. long shadow

8 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.

3 0
3 years ago
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