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Viefleur [7K]
3 years ago
15

Please help thanks thanks thanks ty

Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

104 degrees

Step-by-step explanation:

First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.

Next we need to find GDC

Angles in a triangle add up to 180 degrees therefore...

Angle GDC + DCG + DGC = 180

Plug in the values we found into the equation

Angle GDC + 37 + 90 = 180

Angle GDC + 127 = 180

Angle GDC = 53

Therefore Angle ADC = 53 + 51 = 104 degrees

Since ABCD is a parallelogram, then opposite angles are equal therefore...

Angle B = 104 degrees

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Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
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maks197457 [2]
Hope this helps! Just combine like terms and solve like abnormal equation (:

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A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2). Find the length of CD.
slavikrds [6]

Answer:

3

Step-by-step explanation:

C (-5,1)

D (-5,4)

C and D have same X coordinate value

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Pete played in two basketball games. He scored 4 fewer points in the second game than he scored in the first. He scored 12 point
kiruha [24]

Answer:

16

Step-by-step explanation:

12+4=16

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8 0
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A sells to b an item at 15% profit. B sells the same item to c at 20% profit. If c pays $1656 for it. What is the price at which
andrew11 [14]

Answer:

<em>The price at which A bought the item is $1200.</em>

Step-by-step explanation:

Suppose, the price at which A bought the item is  x dollar.

A sells the item to B at 15% profit. That means, the selling price to B = x+(0.15*x)=1.15x dollar.

B sells the same item to C at 20% profit. That means, the selling price to C = 1.15x+(1.15x*0.20)=1.38x dollar.

Given that, C pays $1656 for the item. So, the equation will be.......

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So, the price at which A bought the item is $1200.

8 0
3 years ago
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