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ad-work [718]
4 years ago
5

The polygon ABCD was rotated 60° about point P as shown.

Mathematics
1 answer:
Genrish500 [490]4 years ago
3 0
The answer is B.<span>1/6 turn counterclockwise.</span><span> why? well it is moving to the left and the clock moves to the right not the the left so that means it is counter clockwise. now to find out if it is 1/3 or 1/6 the circle has 360 degrees, and we already moved 60 so how much is 60 from 360 divide to find out 360/60=6. and since it is only one part it is 1/6 so B is your answer.</span>
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Out of 75,000 voters in a constituency 65%
serious [3.7K]
<h3>Answer:</h3>

\large\boxed{35\%\,\text{did not vote;}\,48,750\,\text{voted}}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the amount of people that did not vote and the percentage of people that didn't vote.

We know that 65% of people voted and percents are out of 100%.

We would subtract 65 form 100 to get out percentage that didn't vote.

100-65=35

35% of people didn't vote.

Now, we can solve the next question.

A total of 75,000 people voted. What we're going to have to do is find how much of 75,000 is 65%.

We would do this by multiplying 75,000 by 0.65

75,000*0.65=48,750

This means that 48,750 people voted.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

3 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
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the bui
OLga [1]
If the length of the ladder is x then 12/x=cos70, so x=12/cos70=35’ approx, answer c.
7 0
3 years ago
Read 2 more answers
Simplify (write without absolute value sign): |x+3|, if x&gt;2
Bas_tet [7]

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number. I took the test and I have links to prove it.

3 0
3 years ago
A right triangle has a hypotenuse of 10 cm and one leg that measures 5 square 3 what is the length of the other leg
guajiro [1.7K]
I hope this helps you

3 0
3 years ago
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