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masha68 [24]
3 years ago
5

Find the midpoint of the segment with the following endpoints. (10, 7) and (5, 4)

Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

\frac{15}{2} , \frac{11}{2}

Step-by-step explanation:-

To find the midpoint, the equation we use is:-

\frac{x1 +x2}{2} , \frac{y1 + y2}{2}

x1 = 10

x2 = 5

y1 = 7

y2 = 4

Substituting the values in the equation, we get:-

\frac{10+5}{2} , \frac{7+4}{2}

Coordinates of the midpoint---> \frac{15}{2} , \frac{11}{2}

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Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
3 years ago
Identify the missing numbers below to show the result of multiplying the numbers.
saveliy_v [14]
(3.5x1016) = 3556
and 
(2.2x1010) = 2222

As per question;
(3556)x(2222) = 10 a*b
By dividing both sides by "10"
we get
(3556)x(222.2) = a*b
or 
(355.6)x(2222) = a*b
by comparing both sides of the equation, 
we get that a = 3556  and b = 222.2
or 
a = 355.6 and b = 2222
7 0
3 years ago
Read 2 more answers
A pawn shop buys a pair of sunglasses for $20 and marks up the cost 15% to make a profit. What is the selling price?
Tema [17]
Well i do believe the new price would be $23.00. hope this helps.
8 0
3 years ago
Which situation can be repsented by the inequailty?
Georgia [21]
I think its either A or D 

Hope this helps! 
4 0
3 years ago
HELP HELP HELP LLEASE!!!!
Luda [366]

Answer:

1/9

Step-by-step explanation:

Only 1 out of the 9 options has the double pepperoni outcome

7 0
3 years ago
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