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lisov135 [29]
3 years ago
11

PLS HELP Find the volume.

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

660

Step-by-step explanation:

V= l×w×h/3

V= 24×11×7.5/3

V=1 980÷3

V= 660

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?​
frozen [14]
ANSWER:
________

11 hours

EXPLANTION:
___________

First, find the unit rate for how much Amanda earn per hour

270/18 = 15

Next, divide how much money she needs to earn by how much she earn per house to find out how much hours she need to work to earn that much

165/15 = 11

That is your answer :)

FUN FACT:
_________

Johnny Appleseed’s fruits weren’t for eating

I hoped this helped! And have a •AMAZING• day :3
6 0
3 years ago
PLEASE HELP, THANK YOU! :)
elena-s [515]

Steps to solve:

-4z + 4 + 12z = 3z + 4 + 5z

~Combine like terms

8z + 4 = 8z + 4

~Subtract 4 to both sides

8z = 8z

~Divide 8 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

This is an identity since every value can be a solution to the equation.

Best of Luck!

8 0
3 years ago
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo
kobusy [5.1K]
Lets see together how it gets done
120 180
160 200
200 220
240 240
so the answer is 3 months
5 0
3 years ago
Read 2 more answers
*Will give brainliest* A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m fr
Fantom [35]

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

3 0
3 years ago
Read 2 more answers
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