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3 years ago

Write and solve an equation to find the value of each variable

Mathematics

1 answer:

yan [13]3 years ago

3 0

Check the picture below.

as you can see in the picture, the "near arc" is x°, and the "far arc", is the leftover from subtracting the arc of 120° and x°, therefore then

$\bf 44=\cfrac{\stackrel{far~arc}{(360-x-120)~~-~~\stackrel{near~arc}{x}}}{2}\implies 88=240-2x
\\\\\\
2x=152\implies x=\cfrac{152}{2}\implies x=76$

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Internal control over a company's assets should include the following policy:

Molodets [167]

The answer is C because I can c the answer right in front of me

8 0

3 years ago

Find the equation of a line that passes through the given points (-6,-5) and (6,-13)

NeTakaya

Answer:

y+5=-3/4(x+6)

or in slope intercept

y= -3/4x-38/4

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5--13}{-6-6}=\frac{-5+13}{-6+-6}=\frac{8}{-12}=\frac{-3}{4}$

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--5)=-3/4(x--6)

y+5=-3/4(x+6)

y+5=-3/4x-18/4

y=-3/4x-18/4-20/4

y= -3/4x-38/4

5 0

3 years ago

Read 2 more answers

The figure here shows triangle AOC inscribed in the region cut from the parabola y=x^2 by the line y=a^2. Find the limit of the

aleksandrvk [35]

Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =

(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =

= 2a^3 - 2(a^3)/3 = [4/3](a^3)

Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = a^3

ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =

Limit of a^3 / {[4/3](a^3)} as a -> 0 = 1 /(4/3) = 4/3

3 0

3 years ago

Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9

Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be $10^n$ , where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

$0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}$

which is irreducible.

6 0

3 years ago

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PLEASE HELP!!! Solve for X... Cos30=x/8 Answer MUST be in radical form. NO DECIMALS.

Ivenika [448]

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

8 0

3 years ago