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Vanyuwa [196]
3 years ago
7

Find the slope of the line that connects the two points (-6, 8) and (2,-1) please explain also

Mathematics
2 answers:
dalvyx [7]3 years ago
6 0
-9/8. The formula for slope is (Y1-y2)/(x1-x2)
PSYCHO15rus [73]3 years ago
5 0
<u />m =  \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }

m =  \frac{-1 - 8}{2 - (-6)}

m =  \frac{-9}{2 + 6}

m =  \frac{-9}{8}
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What are the exact values of sin(2π3radians) and cos(2π3radians)
deff fn [24]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2
8 0
3 years ago
Which of the following measurements is least precise, and how many significant digits does it
gtnhenbr [62]

Answer:

50.25 cm trust me

Step-by-step explanation:

5.25 cm

7 0
2 years ago
What is the value of x?
vivado [14]

Answer:

33.5

Step-by-step explanation:

4x+5+41=180

4x+46=180

4x=180-46

4x=134

4x=33.5

6 0
2 years ago
An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats i
PSYCHO15rus [73]

Answer:

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

                        = $204

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

4 0
3 years ago
Read 2 more answers
Solutions to 39=4-7v
pishuonlain [190]
V = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5
4 0
3 years ago
Read 2 more answers
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