If m 2 = 48° and m3 = 76°, determine m 1

Answer:

The numerator is 3, so the whole thing would say 3/11=12/44

Step-by-step explanation:

divide the second fraction down as much as possible, and you will get 3/11.

12 divided by 4 equals 3

44 divided by 4 equals 11

so 3 is the numerator and 11 is the denominator

Answer:

3

Step-by-step explanation:

lets make teh blank x

x/11 = 12/44

x/11 = 3/11

x = 3

or

x/11 = 12/44

4x/11 = 12/44

4x = 12

x = 3

Answer:

[tex]\frac{1}{50}[/tex]

Step-by-step explanation:

2% = [tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]

The slope of the road expressed as fraction is 2/100. When we simplify 2/100, the result obtained is 1/50

From the question given above, we were told that the grade of the road is 2% which is equal to the slope. Thus, we can express 2% as fraction as illustrated below:

2% = 2/100

2/100 can be simplified to it's lowest term as shown below:

2/100

Divide the numerator and denominator by 2

1/50

Thus,

2/100 = 1/50

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Answer:

D

Step-by-step explanation:

100>50 +6.25x, subtract 50 from both sides

50>6.25x, divide both sides by 6.25

8>x or x<8

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  $2552

Step-by-step explanation:

The perimeter of the pool area is given by the formula ...

  P = 2(L+W)

  P = 2(38 +20) = 116 . . . feet

Then the cost of the fence installation is ...

  (116 ft)($22/ft) = $2552

Answer:

$3.20

Step-by-step explanation:

First, find the area in square feet of his room:

Use the area formula, A = lw, where l is length and w is width:

A = lw

A = 14(11.5)

A = 161

So, his room is 161 square feet.

To find the cost per square foot, divide 515.20 by 161:

515.20/161

= 3.2

So, the cost per square foot was $3.20

Answer:

day 2

Step-by-step explanation:

day 1 had a 26.19-degree change while day 2 had a 33.47

Answer:

Day 2 is a bigger change.

Step-by-step explanation:

Day 1 change: 26.19

Day 2 change: 33.47

Add the positive version of each number together to find the change, like so:

Day 1: -12.75 to 12.75 and 13.44 to 13.44   12.75+13.44= 26.19

Day 2: -8.83 to 8.83 and 24.64 to 24.64   8.83 + 24.64=33.47

PS: Next time, please be a little nicer with your question.

Answer:

Overview of the exponential function

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function

Answer:

I would have to say A) 32 + 45 + 39: 3

Step-by-step explanation:

This is because when finding the average of literally anything, you want to add up all the numbers, and then divide the sum of it by the numbers you added up.

for instance: 32 + 45 + 39 = 116. now, we need to divide by 3 because we added 3 numbers up.

116 divided by 3 = x

x is our average cost per books.

hope this helped, gl on your test!! :')

Answer:

X intercept (-13,0)

y intercept (0,13/3)

Step-by-step explanation:

slope intercept form

y=1/3x+13/3

Answer:

x = 62

Step-by-step explanation:

its an isosceles triangle which means the the two angles on the bottom are equal or something like that. triangles aren't fun

The slope of the given line is 4.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,

Slope = y₂ - y₁ / x₂ - x₁

So,

Slope = 9-1 / 3-1 = 8/2 = 4

Hence, the slope of the given line is 4.

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Answer:

10.5 is really 10.50 the . 5 is half the whole one unit, like 50 cents is half a dollar

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

2/3 , 24/36

Step-by-step explanation:

got it wrong and found out the answers

Answer:

125 miles per hour.

Step-by-step explanation:

I divided 500 by 4

Answer:

480 milligrams.

Step-by-step explanation:

Divide 320 by 92, you get 3.47826087, multiply that by 138 to get your answer (480).

Answer:

-4.714

Step-by-step explanation:

Answer:

1 (if the 3 3/7 is positive)

or

-4 5/7 (if the 3 3/7 negative)

Answer:

jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg

Answer:

go to khan academy on you tube he's really good at explaining stuff also sorry that's all i got...

Step-by-step e

Answer: A

5(cos(143o) + i sin(143o))

Step-by-step explanation:

The expression that is closest to the polar form of z + w is

[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]

"The number of the form a + ib where a, b are real numbers and  [tex]i=\sqrt{-1}[/tex]"

"The polar form of the complex number z = x + iy is [tex]z=r(cos(\theta)+i~sin(\theta))[/tex] where [tex]r=\sqrt{x^{2} +y^{2} } , ~\theta=tan^{-1}(\frac{y}{x} )[/tex] "

For given question,

We have been given two complex numbers.

[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})[/tex] and [tex]w = cos(180^{\circ}) + i~sin(180^{\circ})[/tex]

We know that,

[tex]cos(135^{\circ})\\=cos(90^{\circ}+45^{\circ})\\=-sin(45^{\circ})\\=-\frac{1}{\sqrt{2} }[/tex]

And

 [tex]sin(135^{\circ})\\=sin(90^{\circ}+45^{\circ})\\=cos(45^{\circ})\\=\frac{1}{\sqrt{2} }[/tex]

So, the first complex number would be,

[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})\\\\z = 3\sqrt{2} (-\frac{1}{\sqrt{2} } + i~\frac{1}{\sqrt{2} } )\\\\z=-3+3i[/tex]

We know that [tex]cos(180^{\circ})=-1,~~sin(180^{\circ})=0[/tex]

So the second complex number would be,

[tex]w = cos(180^{\circ}) + i~sin(180^{\circ})\\\\w = -1 + 0i[/tex]

So, the sum of complex numbers z and w would be,

[tex]z+w\\=(-3+3i)+(-1+0i)\\=-4+3i[/tex]

We write the complex number -4 + 3i in the polar form.

Comparing above number with x + iy, we have x = -4 and y = 3

[tex]\Rightarrow r=\sqrt{(-4)^2+3^2}\\ \Rightarrow r=5[/tex]

Also, the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{3}{-4} )\\\\\theta= -36.86^{\circ}\\\\\theta=180^{\circ}-36.86^{\circ}\\\\\theta=143.14^{\circ}[/tex]

So the complex number -4 + 3i in the polar form would be, [tex]5(cos(143.14^{\circ})+i~sin(143.14^{\circ}))[/tex]

Therefore, the expression that is closest to the polar form of z + w is

[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]

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Answer:

Step-by-step explanation:

Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

Answer:

The relative is 1,000 below sea level. The altimeter should read -1,000.

Step-by-step explanation:

I really don't have a explanation, but I did that activity and this was the correct answer.