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GREYUIT [131]
3 years ago
7

Graph the linear equation

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

I added a screenshot. ;)

Step-by-step explanation:

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What is the slope of this line!
vesna_86 [32]

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run which is -1 over 3

3 0
3 years ago
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What is the height of a rectangle with an area of 105 and a base of 15
BaLLatris [955]

Answer:

7

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

8 0
3 years ago
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
Find the sum of the interior angle measure of a regular polygon with 20 sides
AleksAgata [21]

Answer:

3240°

Step-by-step explanation:

For a regular icosagon,

sum of interior angles measure=180(n-2)°

180(20-2)

180(18)=3240°

8 0
3 years ago
1. Find the common difference of the sequence: 31, 26, 21, 16, ...
hichkok12 [17]

Answer:

it is subtract 5

Step-by-step explanation:

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3 years ago
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