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2 years ago

11

Simplify 2(x+7) 2x + 20 - 2 = x+4 2x + 8

1 answer:

9966 [12]2 years ago

3 0

Answer:

x = -20

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4 2x + 8

2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8

4x +32 = 3x + 12

x = -20

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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

Noah's cousin is exactly 7 years younger than Noah. Let M represent Noah's cousin's age in months and N represent Noah's age in

sashaice [31]

Answer:

1,if Noah is 15 his cousin is 8 or 96 months

2, and when Noah's cousin is 132 months or 11 years old Noah will be 18

3,n-[[7]12]=age of Noah's cousin

Step-by-step explanation:

1,15-7=8

1 part 2, 8*12=96

2,132/12=11

2 part 2,

11+7=18

3,n-[[7]12]=age of Noah's cousin

4,n+[7/12]

if n=18

18+[7/12]

or

18+0.5833=18.5833

7 0

3 years ago

The sum of two consecutive even number's is 66. find the numbers.

Elena L [17]

Answer:

$32\ and\ 34.$

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

$x+x+2=66$

$2x+2=66$

Subtract 2 from both sides:

$2x+2-2=66-2$

$2x=64$

Divide both sides by 2:

$\frac{2x}{2}=\frac{64}{2}$

$x=32$

The smaller number is 32.

Larger number $=32+2=34$

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3 years ago

HELP OR I WILL EAT ALL YOUR COOKIES

pentagon [3]

Answer:

i think it is a because it makes sense and also you wouldnt

Step-by-step explanation:

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3 years ago

A bake sale has 3 cakes for sale. Each cake was cut into 4 slices. Each slice was sold for $9. What was the total amount earned

Vaselesa [24]

Answer: Total amount is 108 because 9 times 4 is 36. So 36+36+36=108

6 0

3 years ago