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3 years ago

Is the following shape a square? How do you know?

Mathematics

1 answer:

Troyanec [42]3 years ago

8 0

Answer:

Step-by-step explanation:

it is a rectangle. each opposite sides ARE parallel but not every side is equal like a square so B

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For the function f(x)=5x, which ordered pair will be a point on the graph of the function?

Ostrovityanka [42]

Basically f(x)=5x means whatever number you plug in will be your x coordinate, and the result will be your y coordinate.
(1,5) (2,10) (3,15) (4,20) and so on. 1,2,3 and 4 are x coordinates plugged into the equation, the y coordinate is whatever 1,2,3 and 4 multiplied by 5 is.

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

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

What is standard form for 6.43999001 x 10^8

Romashka [77]

6.43999001
1st you move the decimal 8 times to your right
once you are done moving the decimal you should end up with a whole number
you answer is (643, 999, 001)

5 0

3 years ago

What fractions Equivalent to 1/2

guajiro [1.7K]

Answer:

2/4 3/6

Step-by-step explanation:

any fraction where the numerator is half of the Denominator

4 0

3 years ago

-<br> 24x4 – 18x3 + 4x2 - 3x = 0<br> -<br> Solve

Snowcat [4.5K]

Answer:

x = 16.6666666667

Step-by-step explanation:

24x4 - 18x3 + 4x2 - 3x =0

24x4 = 96

18 x 3 = 54

4x2 = 8

96-54+8= 50

50/3 = 16.6666666667

7 0

2 years ago

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