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4 years ago

Find the area of the figure

Mathematics

2 answers:

Flauer [41]4 years ago

8 0

145.132741 exact answer

frez [133]4 years ago

6 0

Do 8 times 15 which is 120. Now add m to answer. ANSWER: 120m

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How do you solve for Y in x=5 +8y-8

Rzqust [24]

x = 5 + 8y - 8

Combine like terms.

x = -3 + 8y

Add 3 to both sides.

x + 3 = 8y

Divide both sides by 8.

y = $\frac{x+3}{8}$

7 0

3 years ago

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

HELP LOOK AT THE PHOTO

Amanda [17]

$\bf{Hello!}$

The answer is 140°

Because we can use exterior angle property here

Exterior angle property : It states that exterior angle is the sum of two opposite interior angles

y = 120 + 20 = 140°

6 0

3 years ago

Read 2 more answers

5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the

Marrrta [24]

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

7 0

4 years ago

A company is said to break even when it has a net profit of $0. Walter's company reported a net profit of -$8,000 in March. Whic

Makovka662 [10]

If you are -$8000 one month, the next month you need to make 8000 to break even.

April net profit must be +$8,000 to break even.

4 0

3 years ago