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3 years ago

32 over 36 in simplest form

2 answers:

7 0

To simplify this, write out: 32/36. Then divide the numerator and denominator by a common factor.
Because they are both even, I would choose to multiply them both by 2.
That would equal 16/18.
Then you can divide them both by 2 again. You would get 8/9.
There are quicker ways to do this, but I chose this way because I find it easiest.

noname [10]3 years ago

4 0

Answer is:

8/9

4 goes into 32 8 times

4 goes into 36 9 times

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Can someone help me graph this?

Elan Coil [88]

y axis is vertical x is horizontal

7 0

2 years ago

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

Read 2 more answers

Which only lists multiples of 16? O1,2,4, 8, 16 O 16, 24, 32, 40 O16, 32, 48, 64 O 1,2, 4, 8, 12, 16

schepotkina [342]

Answer:

48 & 68

Step-by-step explanation:

if you multiply the numbers you will see that you get 48 & 68 multiple times

5 0

3 years ago

Suppose f(x) = 3x + 5. Describe how the graph of g(x) = f(x) + 12 compares to f

marshall27 [118]

Answer:12

Step-by-step explanation:

i know

4 0

3 years ago

Read 2 more answers

When given an inverse variation, how do you find k?

atroni [7]

Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For an inverse relationship, the function is:

$y = \frac{k}{x}$ .

Then:

k = xy.

Which means that to find k, you take a point (x,y), and multiply the values of x and y.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

8 0

1 year ago