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2 years ago

A) 10ft B) 20ft C) 25ft D) 30ft HELP ME PLEASEEE

Mathematics

2 answers:

-Dominant- [34]2 years ago

7 0

The answer is C 25ft

antiseptic1488 [7]2 years ago

6 0

Answer:

C) 25ft

Step-by-step explanation:

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What is the area of the irregular polygon shown below?

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Answer:56

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What is 174 divided by 74

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2.35

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Use the given transformation x=4u, y=3v to evaluate the integral. ∬r4x2 da, where r is the region bounded by the ellipse x216 y2

exis [7]

The Jacobian for this transformation is

$J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}$

with determinant $|J| = 12$ , hence the area element becomes

$dA = dx\,dy = 12 \, du\,dv$

Then the integral becomes

$\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv$

where $R'$ is the unit circle,

$\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1$

so that

$\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv$

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

$\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}$

Then

$\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}$

3 0

1 year ago

HELP ME PLEASEEEEEEEE

stepladder [879]

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 = 180

7x + 33 = 180

7x = 147

x = 21

8 0

2 years ago

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Dave won a hot dog eating contest by eating 18 hot dogs in 10 minutes. He ate two more than twice the amount of the runner-up. W

IrinaVladis [17]

Answer:

The correct anser is option

B. 2x + 2 = 18

Step-by-step explanation:

Let the number of hot dogs eaten by the runner up be represented by x

If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2

Since the total number of hot dogs eaten by Dave is 18

Therefore, the equation will be

2x + 2 = 18

So the number of hot dogs eaten by the runner-up is determined by solving for x

2x= 18-2

2× = 16

x = 16/2

x = 8

The runner up are 8

While Dave are

2×8 + 2 = 18.

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