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lukranit [14]
3 years ago
9

HELP NOW PLEASE ! what is x , the angles , and how should the equation be set up ?

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

x =9

Step-by-step explanation:

7x+3 = 6x + 12

x + 3 =12

x = 9

So both angles equal 66*

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Greatest Common Factor (GCF)<br> 1. 12a - 27
Ilya [14]

Answer:

  3

Step-by-step explanation:

The factors of 12a are ...

  2×2×3×a

The factors of 27 are ...

  3×3×3

The only common factor is 3.

_____

  12a -27 = 3(4a -9)

8 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
If 40% of a number is 56 what was the original number
svp [43]
Percent is pars out of 100
40%=40/100=4/10=0.4
'of' means multiply
0.4 times something=56
divide both sides by 0.4
something=140

th enumber is 140
5 0
3 years ago
How many times larger is 70 than 7
ozzi

the answer is 10! because 7*10= 70

4 0
2 years ago
H + 3 = -13 <br> please show work
cricket20 [7]

H= -16

Step-by-step explanation:

4 0
2 years ago
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