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marin [14]
3 years ago
8

Use graph to answer questions

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

\sin(  \alpha )  =   \frac{4}{5}

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

  • base = 3 units
  • perpendicular = 4 units

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

hyp =  \sqrt{25}

hyp = 5 units

\sin( \theta )   =  \frac{perpendicular}{hypotenuse}  \\  \sin( \theta)  =  \frac{4}{5}

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What are the coordinates of the terminal point corresponding to = –120? Use the Pythagorean theorem to prove that this point lie
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See the attached picture:

7 0
3 years ago
To decrease an amount by 8 percent, what single multiplier would you use?
Alchen [17]
That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help. 

<span>To Increase an amount by 7% what single multiplier would you use </span>
<span>We want 7% more than 100% of the amount, so the multiplier is </span>
<span>(100% + 7%) = 107% = 1.07 </span>
<span>[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] </span>

<span>To Decrease an amount by 7% what single multiplier would you use </span>
<span>We want 7% less than 100% this time, so the multiplier is </span>
<span>(100% - 7%) = 93% = 0.93 </span>

<span>5 ÷ 0.1 </span>
<span>= 50 </span>

<span>(To One Decimal Place) (0.3 x 2.8)Squared </span>
<span>[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] </span>
<span>(0.3 x 2.8)^2 = 0.84^2 = 0.7056 </span>
<span>which is 0.7 when rounded to one decimal place. </span>

<span>6.38 + 4.52 ÷ 4.71 +9.53 </span>
<span>= 6.38 + (4.52 ÷ 4.71) + 9.53 [assuming operations in the usual order] </span>
<span>= about 6.38 + 0.96 + 9.53 </span>
<span>= 16.87 </span>

<span>Expand and Simplify </span>
<span>(x + 2)(x + 3) </span>
<span>= x^2 + 2x + 3x + 6 </span>
<span>= x^2 + 5x + 6 </span>

<span>Expand and Simplify </span>
<span>(x + 2)(x - 3) </span>
<span>= x^2 + 2x - 3x - 6 </span>
<span>= x^2 - x - 6 </span>

<span>x + 1 < 5 </span>
<span>x < 4 [subtracting 1 from both sides] </span>

<span>Make n the subject of the formula.... M=3n </span>
<span>3n = M </span>
<span>n = M/3</span>
5 0
3 years ago
rewrite them in order to the largest and the smallest.                                                                6 tens 3 h
photoshop1234 [79]
From largest to smallest:

3 hundreds (300) , 6 tens (60) , 8 ones (8)

hope this helped :)
6 0
4 years ago
Read 2 more answers
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?​
pashok25 [27]
Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
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4 0
3 years ago
Solve 12(x - 2) + 3x = {(x + 12) + 10x
jeka94

Answer:

x=9

Let's solve your equation step-by-step

12(x−2)+3x=x+12+10x

<em>Step 1: Simplify both sides of the equation.</em>

12(x−2)+3x=x+12+10x

(12)(x)+(12)(−2)+3x=x+12+10x(Distribute)

12x+−24+3x=x+12+10x

(12x+3x)+(−24)=(x+10x)+(12)(Combine Like Terms)

15x+−24=11x+12

15x−24=11x+12

<em>Step 2: Subtract 11x from both sides.</em>

15x−24−11x=11x+12−11x

4x−24=12

<em>Step 3: Add 24 to both sides.</em>

4x−24+24=12+24

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<em>Step 4: Divide both sides by 4.</em>

4x/4=36/4

x=9

Answer:

<u>x=9</u>

6 0
3 years ago
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