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den301095 [7]
2 years ago
10

Questione Simplify Cosa + 2Cos(a +240")​

Mathematics
1 answer:
melamori03 [73]2 years ago
7 0

Step-by-step explanation:

\cos(a)  + 2 \cos(a + 240)

\cos(a)  + 2 \cos(a)  \cos(240)  -  \sin(a)  \sin(240)

\cos(a)  + 2( -  \frac{ \cos(a) }{2}  +   \frac{ \sqrt{3} }{2}   \sin(a) )

\cos(a)  -  \cos(a)  +  \sqrt{3}  \sin(a)

\sqrt{3}  \sin(a)

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

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YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
LenaWriter [7]

Answer:

Option A: 12

Step-by-step explanation:

From the image of the triangle given, we can see that:

XM = ZM

We are given that:

XM = 2x + 2 and ZM = 4x - 8

Thus;

2x + 2 = 4x - 8

Rearrange to get;

4x - 2x = 8 + 2

2x = 10

x = 10/2

x = 5

Thus, XM = 2(5) + 2

XM = 12

4 0
3 years ago
How do you solve the system 3x-y z=5, x 3y 3z=-6, and x 4y-2x=12?
dlinn [17]
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)

From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . .  (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)

(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5

From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3

x = 3, y = 0.5, z = -3.5
8 0
3 years ago
What is the rate of change between (2,2) and (17,7)
choli [55]

Answer:

1/3

Step-by-step explanation:

(7-2)/(17-2)=5/15=1/3

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3 years ago
Twelve hundred-thousandths is how much greater than twenty millionths
enot [183]

Answer:

the answer is 60 x 10^3 in scientific notation

Step-by-step explanation:

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A distance of 150 km was covered by a motorcyclist traveling at an average speed of 75 km/h, by a bus at 60 km/h, a truck at 50
Maurinko [17]
Motorcyclist: 2 hours
Bus: 2.5 hours
Truck: 3 hours
Bicyclist: 7.5 hours
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3 years ago
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