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3 years ago

12

I need help please (Proportions)

1 answer:

eimsori [14]3 years ago

6 0

A. 3

You have to know figure out as many sides as possible before setting up the ratio.

On the short leg the entire leg is equal to 20, and some part of the line is labeled as 12. So you do do 20-12 which would equal to 8. So the shorter part of the short leg equals to 8.

Then you do the long leg. The entire leg equals to 35. Some part of the long leg is labeled as 7x. So you can label the other part of the long leg as 35-7x.

Since you have the numbers for the ratio now, you can do the next steps.

The first step is picking a location and then going any direction.

When I solved it, I started at the top and went down.

8/35-7x=12/7x

Then you cross multiply.

8*7x=56x. 12*35-7x=420-84x

56x=430-84x

Add 84x on both sides

140x=420

Divide 140 in both sides

X=3

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6x-1 + 4X+21 = 50 solve for x

emmainna [20.7K]

Answer:

x=3

Explanation:

First what you do is move x to one side and the rest of the numbers to another while changing the sign from + to - or - to + like this
6x+4x= 1+-21+50

Then you do the equation on 1 side
6x+4x=30

And then the other but add them like x is not there
10x=30
Your final result should be
X=3

3 0

3 years ago

Read 2 more answers

L. Calculate the total revenue for each job at each price

Rudiy27

Answer:

1. 8,400

2. 3,600

3. 1,500

Step-by-step explanation:

multiply the weeks by the number of cars first, and then times it by the amount of money per car

(weeks×cars per week) money per car

8 0

3 years ago

If a line crosses the y-axis at (0, -4) and has a slope of -2, what is the equation of the line

padilas [110]

-2x-4

slope always goes first and behind that goes x...

3 0

3 years ago

In the circle shown below, ∠BAC is a central angle, r is the length of AB, and θ is the measure of ∠BAC in degrees.

Ket [755]

Answer:

Option 4 is the right answer.

Step-by-step explanation:

As we know in the given circle area of minor segment having an angle ∅ and radius of the circle r is shown by

Area of the minor segment / Area of the circle = ∅ / 360° (∅ is in degrees)

Area of the minor segment / πr² = ∅ / 360°

Area of the minor segment = (∅ / 360°) × πr²

Therefore Option 4 is the right answer.

8 0

3 years ago

Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

Triss [41]

$g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}$

The surface element is

$\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)$

###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

$\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds$

$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

4 0

3 years ago