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3 years ago

Is this correct please tell me sooner then later thank you

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Correct. This is the distance around the circle, aka the perimeter.
False. Going from center (O) to the point A is the radius, which is half the diameter. Answer: radius
Correct. The diameter is a chord that goes through the center. A chord is any segment where the endpoints are on the circle's edge.
Correct. There are three radii shown in this diagram. The other radius is OC. Segment BC is a chord that is neither a diameter nor a radius.

In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.

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Find the shaded area

REY [17]

The parabola y = x ² and the line x + y = 12 intersect for

x ² = 12 - x

x ² + x - 12 = 0

(x - 3) (x + 4) = 0

===> x = 3

so you can compute the area by using two integrals,

$\displaystyle \int_0^3 x^2\,\mathrm dx + \int_3^{12}(12-x)\,\mathrm dx$

Then the area you want is

$\displaystyle \frac{x^3}3\bigg|_0^3 + \left(12x-\frac{x^2}2\right)\bigg|_3^{12} = \left(\frac{3^3}3-\frac{0^3}3\right) + \left(12^2-\frac{12^2}2 - 12\times3 + \frac{3^2}2\right) \\\\ = \boxed{\frac{99}2}$

Alternatively, you can subtract the area bounded by y = x ², x + y = 12, and the y-axis in the first quadrant from the area of a triangle with height 12 (the y-intercept of the line) and length 12 (the x-intercept).

Such a triangle has area

1/2 × 12 × 12 = 72

and the area you want to cut away from this is given by a single integral,

$\displaystyle \int_0^3 ((12-x)-x^2)\,\mathrm dx = \int_0^3(12-x-x^2)\,\mathrm dx$

The integral has a value of

$\displaystyle \left(12x-\frac{x^2}2-\frac{x^3}3\right)\bigg|_0^3 = 12\times3 - \frac{3^2}2 - \frac{3^3}3 \\\\ = \frac{45}2$

and so the area of the shaded region is again 72 - 45/2 = 99/2.

7 0

3 years ago

Scott spends $250 each month on his car payment. What percent of his monthly income does Scott spend on his car payment? Round t

Juli2301 [7.4K]

Answer:

8.3333333333

Step-by-step explanation:

Rounded would be 8.3% because there is 30 days in a month divided by 250

5 0

3 years ago

What must be a factor of the polynomial function f(x) graft on the coordinate plane below

lilavasa [31]

Answer:

The correct answer option is B. (x - 1).

Step-by-step explanation:

We are to determine the factor of the polynomial function $f(x)$ which is graphed on the given coordinate plane.

We know that if the zeros (or intercepts) of an equation are $r _ 1$ and $r _ 2$ then the factors for this equation will be $( x - r _ 1 )$ and $( x - r _ 2 )$ .

From the graph, we can see that it intercepts the x axis at $1$ and $6$ . So the roots will be $(x-1)$ and $(x-6)$ .

Therefore, the correct answer option is B. (x - 1).

8 0

4 years ago

Read 2 more answers

Which Proportion is correct?

Nikolay [14]

Answer:

sorry but i need the points <3

Step-by-step explanation:

7 0

3 years ago

Find the area and perimeter of the following triangle with the given vertices:

Vaselesa [24]

Find the area and perimeter of the following triangle with the given vertices:
(1, 2), (8, 2) and (3, 6)
Explain your reasoning; show all your work for full credit!

7 0

4 years ago