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Bad White [126]
3 years ago
10

The area of a square wall with side s is given by the formula a=s^2. find the area when s=7cm

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
Hello 
a=s²  s = 7 cm
a = 7² 42cm²
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14 lessons costs $210. What would 72 lessons cost
Oksi-84 [34.3K]

Answer:

$1,080

Step-by-step explanation:

To solve, we can make a proportion

14 lessons are $210 and 72 lessons are $x

14/210=72/x

Cross multiply

14*x=210*72

14x=15120

To solve for x, we need to get x by itself. Since x is being multiplied by 14, divide both sides by 14.

14x/14=15120/14

x=1080

So, 72 lessons will cost $1,080

4 0
3 years ago
Read 2 more answers
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di
lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0
3 years ago
Use inverse operations to solve each equation. Explain each step and identify the property used to reach each step.
maks197457 [2]
Hello,


The inverse operation's are easy.

is would be h/3-8=19


Hope this helps
5 0
3 years ago
Read 2 more answers
PLEASE HELP! Screenshot attached
nadya68 [22]

Answer:

( x - 6 ) ( x - 3 ) (x + 4)

Step-by-step explanation:


6 0
3 years ago
Please answer asap! *picture attached*
Nastasia [14]

f(x)= x+2

g(x)= x-4

(fg)(x) = (x+2)( x-4)

= x^2 - 4x +2x -8

= x^2 -2x -8

4 0
3 years ago
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