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timama [110]
2 years ago
15

Round to the nearest degree Find the value of x

Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0

Answer:dk

Krk

Step-by-step explanation:

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What are the exact values of sin(2π3radians) and cos(2π3radians)
deff fn [24]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2
8 0
3 years ago
Can someone help me out please
Brums [2.3K]

Answer:

D. g(x) = (x - 5)² + 3

Step-by-step explanation:

If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).

If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.

This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3

7 0
3 years ago
What is the volume of the prism?<br> 2 cm<br> 3cm<br> 11 cm PLS HURRY
mafiozo [28]

Answer:

66

Step-by-step explanation:

multiply everything together

4 0
2 years ago
2(2t-3)=6(t+2) solving equations with variable on both sides ​
ludmilkaskok [199]

Answer:

t=-9

Step-by-step explanation:

2(2t-3)=6(t+2)

4t-6=6t+12

4t-6t=12+6

-2t=18

t=-9

5 0
3 years ago
Read 2 more answers
The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0
2 years ago
Read 2 more answers
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