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2 years ago

45 × ÷ 15 = 45 please answere me

Mathematics

1 answer:

Bingel [31]2 years ago

5 0

Answer:

Step-by-step explanation:

multiply both sides by 15

45x=675

Divide both sides by 45

x=15

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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

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

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

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

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

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

PLS ANSWER WILL MARK BRAINLIST

andreyandreev [35.5K]

Answer:

72 degrees

Step-by-step explanation:

Slope

y=-(7/8)x+105

plug in 72 for the y

72=-(7/8)x+105

-177=-(7/8)x

72 = x

6 0

2 years ago

What is the relationship between 5.34×1055.34×105 and 5.34×10−25.34×10−2 ?

storchak [24]

5+2=7 which means there will be 7 zeros so it is 10000000 times greater than

7 0

3 years ago

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Find the check digit d for my box of candy with 0-79200 92839-d.

Rina8888 [55]

Answer:

what do i have to do

Step-by-step explanat

8 0

3 years ago

PLEASE HELP FAST!! Lake Alice is filled with alligators and turtles. The number of turtles is 16 less than 3 times the number of

san4es73 [151]

Answer:

72 alligators, 128 turtles

Step-by-step explanation:

When you put the words into the form of an equation, with a being alligators, you get

3a-16=200

So you have to do 'letters left numbers right'. This gives you

3a=216

Now you have to divide. 216 divided by 3 equals 72. So there are 72 alligators. 200 minus 72 equals 128, so there are 128 turtles

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2 years ago

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