Answer:
Step-by-step explanation:
To solve this equation, we must isolate the variable (x) using inverse operations.
x-2 is being multiplied by -3. The inverse operation of multiplication is division, so we divide both sides by -3.
2 is being subtracted from x. The inverse operation of subtraction is addition, so add 2 to both sides of the equation.
In this equation, x is equal to 0.
Answer:
Step-by-step explanation:iii
Part (a)
<h3>Answer: 12.1</h3>
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Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
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Part (b)
<h3>
Answer: 15.1</h3>
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Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.
Segment CD is roughly 15.1 cm long.
B. 105. If the line is equal to 180 degrees and you subtract 75, you get 105.
Step-by-step explanation:
use bodmas
start with multiplication
-4*10 = -40
5+5/2 - 40
addition next
5 + 5/2 = 7.5
7.5 - 40 = -32.5