4 years ago

Find the lateral area for the cylinder with the given measurement. r = 4, h = 5

Mathematics

1 answer:

Ivanshal [37]4 years ago

4 0

AL≈125.66r-Radiush-Height

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

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3 years ago

Identify the steps you would take to solve each equation. Then solve 7y + 6 + 4y + 13 = 26

andriy [413]

Answer:

7/11

Step-by-step explanation:

7y +6+4y+13=26

firstly collect like terms

7y+4y+6+13=26

11y+19=26

11y=26-19

11y=7

then divide through by 11

y=7/11

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3 years ago

Find the slope of the line represented in the table. x

kirza4 [7]

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

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3 years ago

A buoy marks a channel for boat navigation and bobs up and down with the motion of the waves. In the given function, represents

Nikitich [7]

Answer:

(4,-2) and (12,-2)

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3 years ago

Is it possible to divide 0 by 27 ?

Mumz [18]

Answer:

No. Dividing by 0 is not rational, no number works.

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3 years ago

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