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3 years ago

5

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

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.

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3 years ago

Which situation can be repsented by the inequailty?

Georgia [21]

I think its either A or D

Hope this helps!

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3 years ago

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Luda [366]

Answer:

1/9

Step-by-step explanation:

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

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3 years ago