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4 years ago

Help with this question, please!!

Mathematics

2 answers:

enyata [817]4 years ago

8 0

Answer:

Last answer

4.09 π

Step-by-step explanation:

Assuming CD and AB are straight lines and P is the center of the circle,

∠BPD = ∠CPA = 92°

r = 8 in

Minor Arc Length BD,

= (92/360) * 2πr

= (92/360) * 2π(8)

= 4.09 π

Flura [38]4 years ago

6 0

Answer:

12.85 inches

Step-by-step explanation:

Angle ACP = Angle DPB = 92 degrees

because they are vertical angles

We are finding arc length, which is circumference

C = 2* pi *r

but we are only find 92 degrees of the 360 in a circle

C = 2 * pi * r * 92/360

= 2 * pi *8 *92/360

= 4.09 pi inches

= 12.84562329

= 12.85 inches

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Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d

Stella [2.4K]

The answer is most likely A.

The integration interval [a, b] is split up into n subintervals of equal length (so each subinterval has width (b - a)/n, same as the coefficient of the sum of y terms) and approximated by the area of n rectangles with base (b - a)/n and height y.

n subintervals require n + 1 points, with

x₀ = a

x₁ = a + (b - a)/n

x₂ = a + 2(b - a)/n

and so on up to the last point x = b. The right endpoints are x₁, x₂, … etc. and the height of each rectangle are the corresponding y 's at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function G(x) continuous* over an interval [a, b] is equal to the slope of the secant line through x = a and x = b, i.e. the value of the difference quotient

(G(b) - G(a) ) / (b - a)

If G(x) happens to be the antiderivative of a function g(x), then this is the same as the average value of g(x) on the same interval,

$g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx$

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [a, b] into n subintervals of equal width (b - a)/n. Over the first subinterval, the area of a trapezoid with "bases" y₀ and y₁ and "height" (b - a)/n is

(y₀ + y₁) (b - a)/n

but y₀ is clearly missing in the sum, and also the next term in the sum would be

(y₁ + y₂) (b - a)/n

the sum of these two areas would reduce to

(b - a)/n = (y₀ + 2 y₁ + y₂)

which would mean all the terms in-between would need to be doubled as well to get

$\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)$

7 0

3 years ago

True or False. i think this is easy but

inna [77]

Answer:

of course its true

Step-by-step explanation:

8 0

3 years ago

Write the slope-intercept form of an equation that passes

Hunter-Best [27]

Answer:

$y = \frac{4}{3}x-5$

Step-by-step explanation:

As the line is perpendicular to $y=-\frac{3}{4} x + 2$ , we know that the slope of the line is $\frac{4}{3}$ . As it passes through $(3, - 1)$ , we know that it should be $y = \frac{4}{3}x-5$ .