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2 years ago

If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.

Mathematics

1 answer:

Tom [10]2 years ago

5 0

EG is the whole thing.
This means that EF + FG = EG

EF=2x-5
FG=3x-6
EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
d. x = 6, EF = 7, FG = 12

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Answer:

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Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

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Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

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2 years ago

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2 years ago

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Step-by-step explanation:

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2 years ago

What is the GRM for a residential duplex with a selling price of $234,000 if the monthly rent for each unit is $925? A. l.054 B.

stiks02 [169]

Answer:

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Step-by-step explanation:

Given :The monthly rent for each unit is $925

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Solution:

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