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marusya05 [52]
3 years ago
12

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

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A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

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7 0
3 years ago
How old am I if 300 reduced by 3 times my age is 39?
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Let your age represent X

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6 0
3 years ago
7b^2-b+3b+6-3b^2+5+2b^2+7b
slava [35]

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4 0
3 years ago
What is the answer to(-12)÷6+2
lozanna [386]
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you should get -2.
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5 0
3 years ago
Read 2 more answers
Equation for this word problem:
vfiekz [6]

Answer:

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So our answer comes out to 40.

Sadie is 40 years old.

Glad i could help, have a nice day <3

5 0
3 years ago
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