How do I solve for x? I tried using law of sines and law of cosines but the angles and sides don't match up.

Answers

Answer 1

Answer: Law cosines: $y^(2) =$ 16 + 256 - 128 $√(3) ;$ => y ≈ 16.51;
Law sines: 16/sinx = 16.51/sin30 => sinx = 0.48 => x ≈ 29 degrees;

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Express 9-y^2 as the product of two binomial factors.

Answers

This is the difference of squares. Formula is:
A² - B² = ( A - B ) · ( A + B )
9 - y² = 3² - y² = ( 3 - y ) · ( 3 + y )

A+(-b) where a=4 and b=2

Answers

Answer:

The sum of a and (-b) is 2

Step-by-step explanation:

method 1:First, we take the negate(negative) of b to get -2. Then, we take the sum of 4 and -2 to get 2.

method 2: since adding a negative is the same as subtracting a positive, we get 4-2, which is 2.

Increase £16870 by 3%
Give your answer rounded to 2 DP

Answers

New value =

16,870 + Percentage increase =

16,870 + (3% × 16,870) =

16,870 + 3% × 16,870 =

(1 + 3%) × 16,870 =

(100% + 3%) × 16,870 =

103% × 16,870 =

103 ÷ 100 × 16,870 =

103 × 16,870 ÷ 100 =

1,737,610 ÷ 100 =

17,376.1

Rounded to 2 DP: 17376.10

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Hope this helps! Stay safe, have a good day :D

Answer:

17376.1 euros

Step-by-step explanation:

100%=16870

103%=x

103% x 16870=1737610/100=17376.1

Solve for y: 3/4(5x-y)<3

Answers

$(3)/(4)(5x-y) < 3\ \ \ /\cdot(4)/(3)\n\n(4)/(3)\cdot(3)/(4)(5x-y) < (4)/(3)\cdot3\n\n5x-y < 4\ \ \ /-5x\n\n-y < 4-5x\ \ \ /\cdot(-1) < 0\ then\$

$------------------------\ny=5x-4\n\nfor\ x=0\to y=5\cdot0-4=0-4=-4\to A(0;-4)\n\nfor\ x=2\to y=5\cdot2-4=10-4=6\to B(2;\ 6)\n------------------------\n\nlook\ at\ the\ picture$

The diagonal of a tv is 28 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the tv?

Answers

30-60-90

shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2x

hypotenuse = 28 inches = 2x = 2(14)
shortest leg = x = 14
longest leg = x√3 = 14√3

The exact length and width of the tv would be 14 inches and 14√3 inches.

Answer:

14 inches by 14 square root of 3 inches

Step-by-step explanation:

Explain what pemdas means

Answers

It is the saying to remember the order of operations, P(parenthesis) E(exponent) M(multiplication) D(division) A(addition) S(subtraction)

Answer:

P E M D A S:

(Parenthesees)

(Exponents)

(Multilpacation)

(Division)

(Addition)

(Subtraction)

This is what pemdas means, it is a quick way to rememeber what order to solve order of operations like for example: (9 x 7) + 3 - 4. Pemdas can also mean... Please excuse my dear Aunt Sally.

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