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VashaNatasha [74]
3 years ago
6

Find the exact value of sin 29π/6

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0
The decimal form is 0.5
And it’s b. 1/2
Setler [38]3 years ago
3 0

Answer:

b

Step-by-step explanation:

Remove full rotations of  

2

π

until the angle is between  

0

and  

2

π

.

sin

(

5

π

6

)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

sin

(

π

6

)

The exact value of  

sin

(

π

6

)

is  

1

2

.

1

2

The result can be shown in multiple forms.

Exact Form:

1

2

Decimal Form:

0.5

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Use synthetic substitution to find g(4) and g(-5) for the function g(x) = 3x4 - 5x2 + 7x - 7
nevsk [136]

Answer:

g(4)=709

g(-5) = 1708

Step-by-step explanation:

<u>Step 1:  Find g(4)</u>

Substitution Method:  

g(4)=3(4)^4-5(4)^2+7(4)-7

g(4)=3(256)-5(16)+28-7

g(4)=768-80+28-7

g(4)=709

Synthetic Division:  

\begin{array}{rrrrrr}\multicolumn{1}{r|}{4} & {3} & 0 & -5 & 7 & -7\\\cline{2-6} & & 12& 48 & 172 & 716\\\cline{2-6} & 3 & 12& 43 & 179 & \multicolum{|} 709\end{array}

Answer:  g(4)=709

<u>Step 2:  Find g(-5)</u>

g(-5)=3(-5)^4-5(-5)^2+7(-5)-7

g(-5)=3(625)-5(25)-35-7

g(-5) = 1875-125-35-7

g(-5) = 1708

Synthetic Division:  

\begin{array}{rrrrrr}\multicolumn{1}{r|}{-5} & {3} & 0 & -5 & 7 & -7\\\cline{2-6} & & -15& 75& -350& 1715\\\cline{2-6} & 3 & -15& 70& -343& \multicolum{|} 1708\end{array}

Answer:  g(-5) = 1708

7 0
3 years ago
Complete the statements. If both expressions have the same value after substituting and simplifying two different values for the
8_murik_8 [283]

When both expressions have the same value,  then they are equal to each other.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

Consider the expressions 5 + 8k and 8k + 5.

Using k = 3

5 + 8k = 8k + 5

5 + 8(3) = 8(3) + 5

5 + 24 = 24 + 5

29 = 29

Using k = 5

5 + 8k = 8k + 5

5 + 8(5)= 8(5) + 5

5 + 40 = 40 + 5

45 = 45

Learn more about the equivalence on:

brainly.com/question/889935

#SPJ1

<u>Complete question:</u>

Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.

Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29

Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45

Complete the statements.

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.

The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.

3 0
2 years ago
K / 3 + 4 - 2 k equal -9 k
nydimaria [60]

Answer:

-1

Step-by-step explanation:

-9/3+4-2

-3+4-2

1-2

-1

3 0
3 years ago
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