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Deffense [45]
2 years ago
10

Use a trigonometric function to find each value of x. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Ulleksa [173]2 years ago
4 0

Answer:

4.0

Step-by-step explanation:

Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)

To save time, tan 30 = sqrt(3)/3,

sqrt(3)/3 = x/7

x = 7*sqrt(3)/3 ~ 4.041

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6 0
3 years ago
Can someone help me with this problem?
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Let's plug 5 into the equation where p is.

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3 years ago
Use the remainder theorem to find P (3) for P(x) = 2x² - 4x^2- 3.
ladessa [460]

Answer:

P(2) = 4

Step-by-step explanation:

P(X) = -2X4 + 4X3 - X + 6

Use the remainder theorem to find quotient and remainder and the value of P(2)

 

First add in any missing exponents:  P(x) = -2x4 + 4x3 + 0x2 -x + 6

 

Write all the coefficients in a line (including the constant) with the number being solved for off to the left:

 

Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under

the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across.  The last

sum is the answer for P(2)

 

 

(2)   -2    4    0    -1    6

            -4    0      0  -2

      __________________

       -2   0    0     -1   4

 

P(2) = 4

 

check the answer:  P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4    Our answer is correct

 

The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The

answer is given by the bottom numbers which will begin an one lower exponent than the original.

Quotient is:   -2x3 + 0x2 + 0x -1 = 2x3 - 1

The remainder is:   4/(x-2)

6 0
4 years ago
Which shows two expressions that are equivalent to (- 8) (- 12) (2)?
bonufazy [111]

Answer: D (-8)(-24) and (-16)(-12)

Step-by-step explanation:

The first expression is equivalent to 192

Therefore, both must be positive which eliminates answer A, B, and C

Therefore the answer must be D

8x24 = 192

16x12=192

6 0
3 years ago
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