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True [87]
3 years ago
15

Which expressions are equivalent to 3(2x−4)+4x−23(2x−4)+4x−2 ?

Mathematics
1 answer:
natka813 [3]3 years ago
6 0
Hello there.

<span>Which expressions are equivalent to 3(2x−4)+4x−23(2x−4)+4x−2 ?

A and E</span>
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dexar [7]

Answer:

p = 32.32; A = 47.91  

Step-by-step explanation:

1. Calculate ∠B

∠A + ∠B + ∠C = 180°

60° + ∠B + 45° = 180°

       ∠B + 105° = 180°

                  ∠B =   75°

2. Find sides BC and AC

We can use the Law of Sines

\dfrac{\sin A}{BC} = \dfrac{\sin B}{AC} = \dfrac{\sin C}{AB}

(i) Find BC

\dfrac{\sin 75^{\circ}}{AC} = \dfrac{\sin 45^{\circ}}{9}\\\\\dfrac{0.8660}{BC} = \dfrac{0.7071}{9}\\\\BC = 9 \times \dfrac{0.8661}{0.7071} = 11.02

(ii) Find AC

\dfrac{\sin 75^{\circ}}{AC} = \dfrac{\sin 45^{\circ}}{9}\\\\\dfrac{0.9659}{AC} = \dfrac{0.7071}{9}\\\\BC = 9 \times \dfrac{0.9659}{0.7071} = 12.29

3. Find the perimeter

p = AB + AC + BC = 9 + 12.29 + 11.02 = 32.32

4. Find the area of the triangle

A general formula for the area of a triangle is

A = ½ab sinC

If we use ∠A, the formula becomes

A = ½ × 9 × 12.29 × sin60° = 55.30 × 0.8660 = 47.91

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3 years ago
Determine whether the number is a solution of the equation.
aev [14]
Answer:
Yes. -4 is the solution to the equation.
Explanation:
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2 + (-16) = - 14
2 - 16 = - 14
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2 years ago
Simplify the expression: 3/(7-i)
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The answer is 0.5. 3/(7-1) 3/6=0.5
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Answer:

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Step-by-step explanation:

The equation of the line that passes through the points

(5,-5) and (-5,-1)  is  y=-2/5x-3.

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2 years ago
In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did n
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See the venn-diagram in the picture.

Hope this helps! Please consider marking me the Brainliest, it’s not necessary, but very much appreciated. Have a great day!

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