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3 years ago

How would you solve for x and y?

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

Since all of the sides are 15, and there's a right angle, we can assume the triangles are both the same size. So we can halve 15 to get the length of y, which would be 7.5. And here we can use the Pythagorean's Theorem to solve for x, by changing it to c^2-b^2=a^2, and we can fill out 15^2 - 7.5^2 = a^2, or 225 - 56.25 = √173.75, which is about 13.18.

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In a survey, 26 voters were asked their ages. The results are shown below. Given a lower class limit of 20 and a class width of

levacccp [35]

Answer:

Waka Waka wa e e - queen shakira

7 0

3 years ago

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

2 years ago

3×-y=5,2×+y=5 pleaseplease

Tanya [424]

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

6 0

3 years ago

A $525 speaker now sells for 393.75 find the percent of change

asambeis [7]

Answer: The percent of change is 25%

Step-by-step explanation:

$525 - $393.75 = $131.25

131.25 (amount of change)/525 ( original amount) x 100

= 25%

5 0

3 years ago

Gina is building a garage that needs to have 96 square meters of space. The garage must have a width of 4 meters and be measured

Kobotan [32]

1 plan- 4×28 I think that is the only way

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3 years ago