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2 years ago

In ASTU, SU is extended through point U to point V, m_STU = (2x + 8),

Mathematics

1 answer:

Schach [20]2 years ago

8 0

Answer: x=8

Step-by-step explanation:

Hope this helps

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The volume of a cylinder is 225 cm

Archy [21]

Answer:

2.821

Step-by-step explanation:

8 0

2 years ago

The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?

zalisa [80]

Answer:

40%

Step-by-step explanation:

12 ÷ 20 = .6

You can convert the .6 to a percentage by multiplying it:

.6 x 100 = 60%

If 12 is 60% of 20, then that means 40% was taken away.

4 0

3 years ago

Read 2 more answers

Which equation could be used to find the number of minutes, m, in h hours?

Mrrafil [7]

Y=m+h is the equation

7 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

Find the Area of the shape below.

kobusy [5.1K]

Answer:

42.5 Units squared

Step-by-step explanation:

Rectangle: 9.0 * 3.5 = 31.5

Square: 2 * 2 = 4

Left Triangle: 2 * 2 * .5 = 2

Right triangle: 5 * 2 * .5 = 5

31.5 + 4 + 2 + 5 = 42.5

5 0

3 years ago