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KIM [24]
3 years ago
11

Can it figure how to do this cosine out

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

  BC= 14.6

Step-by-step explanation:

The law of cosines tells you ...

  BC² = AB² +AC² -2·AB·AC·cos(A)

  BC² = 9² +12² -2·9·12·cos(87°) ≈ 213.695

  BC ≈√213.695 ≈ 14.6

The length of BC is about 14.6 units.

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An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21

Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6

Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30

Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
3 years ago
The price of an item has been reduced by 40%. The original price was $80. What is the price of the item now?
balu736 [363]

Answer:

$48

Step-by-step explanation:

80 x 0.4 = 32

80 - 32 = 48

Hoped it Helped :-)

3 0
3 years ago
Find the value of x. The drawing is not to scale.
Sophie [7]
Hope this helps you!!!

5 0
3 years ago
Read 2 more answers
Factor completely 2x^3y^4-8x^2y^3+6xy^2
Maru [420]

Answer:

2 x y^2 (x y - 1) (x y - 3)

Step-by-step explanation:

2x^3y^4-8x^2y^3+6xy^2

each term contains 2xy^2 so factor that out

2xy^2(x^2y^2 -4xy+3)

then lets factor the inside

what terms multiply together to give us +3 and add to -4

-3* -1 = 3     -3+-1 =-4

2 x y^2 (x y - 1) (x y - 3)

6 0
2 years ago
Which rules of exponents will be used to evaluate the expression. Check all that apply.
lora16 [44]

Answer:product of powers, power of power, negative exponent

Step-by-step explanation:

8 0
3 years ago
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