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3 years ago

Factorise following expressio

Mathematics

1 answer:

Harrizon [31]3 years ago

4 0

(5x^2-15x) (-2x+6) 5x (x-3) -2 (x-3) (5x-2) (x-3)

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

Help me please help ASAP please please help me ASAP

IceJOKER [234]

answer:

39.9

Step-by-step explanation:

54= area of rectangle

28.26= area of the circle

divide circle area by 2

= 14.13

subtract half of circle from rectangle area

54- 14.13

= 39.9

8 0

3 years ago

Jasmine has to mix 3/4 cup of flour and 3/8 cup of cornmeal she has a container that holds 1 cup can jasmine mix the flour and c

Sladkaya [172]

Because 3/4 and 3/8 is more than one cup, Jasmine will not be able to mix the flour and the cornmeal in the container.

3/4+3/8=6/8+3/8=9/8

5 0

3 years ago

Read 2 more answers

What is the solution to the equation |x − 4| = 17?

andrey2020 [161]

$~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13$

8 0

1 year ago

Please help me on this will give you brainliest

enyata [817]

Answer:

135 x 10^7

Step-by-step explanation:

27(5 x 10^7)

probably check before turning in

7 0

3 years ago