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mars1129 [50]
3 years ago
9

How do you solve law of cosine?​

Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

Use the Law of Cosines when you know the lengths of two sides, and the angle between them. That is not the case here. You know b=24, c=21, and B=61°, but B is not between b and c.

Use the Law of Sines.

sinC/c = sinB/b

sinC = c×sinB/b

C = arcsin(c×sinB/b)

= arcsin(24sin61°)/21)

≈ 49.9°

A = 180° - B - C ≈ 69.1

a/sinA = b/sinB

a = sinA×b/sinB

= sin(69.1°)×21/sin(61°)

≈ 25.6 units

Effectus [21]3 years ago
4 0

Draw and label a standard Oblique Triangle, as we’ve done in our previous lessons.

Determine the given congruence, either SAS or SSS, and pick the equation that helps you solve for either a missing side or angle.

Plug into your chosen equation and solve.

The "Law of Cosines" can be used to calculate one side of a triangle when the angle opposite and the other two sides are known. The "Law of Cosines" can be expressed as c2 = a2 + b2 - 2 a b cos C (1)

The cosine rule is an extension of this mathematic principal that makes it effective for non-right triangles and states that in regard to a certain angle, the square of the side of the triangle opposite that angle is equal to the squares of the other two sides added together, minus two times both..

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When (8x − 4) = 2x is solved, the result is:
notsponge [240]

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

1/2(8x - 4) = 2x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 1/2:                                                              4x - 2 = 2x
  2. [Subtraction Property of Equality] Subtract 2x on both sides:                      2x - 2 = 0
  3. [Addition Property of Equality] Add 2 on both sides:                                    2x = 2
  4. [Division Property of Equality] Divide 2 on both sides:                                  x = 1
8 0
3 years ago
Read 2 more answers
The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects th
AleksAgata [21]

Answer:

5

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

Average price of each car = $4000

To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}

We have the following values as given in the question statement:

Total money available = $20000

Average price of car = $4000

Therefore, the answer is:

\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}

The owner can expect to buy 5 number of cars.

7 0
2 years ago
the function g(x) = 8x2 – 48x 65 written in vertex form is g(x) = 8(x – 3)2 – 7. what is the vertex of g(x)? (–3, –7) (3, –7) (2
Mrac [35]
G(x)=8(x-3)-7
The number in the parentheses has to be changed to positive 3.
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3 years ago
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A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.
Zigmanuir [339]

Answer:

Total Commission = $400


Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.


<u>Total commission</u> = 4% of 8000 + 8% of 1000

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The answer is (B) 2<em>k</em><em> </em>= 18

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