Answer:
33.34%.
Step-by-step explanation:
Given that,
The actual price of the shirt = $36
Price on sale = $24
We need to find the percent of the decrease. The formula for the percentage is given by :
Putting all the values,
So, the percentage decrease in the price of the shirt is 33.34%.
Answer:
y-4=-2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-(-1))
m=-8/(3+1)
m=-8/4
m=-2
y-4=-2(x-(-1))
y-4=-2(x+1)
Greg’s hourly wage is $9.35 per hour
Answer:
(-5, -1)
Step-by-step explanation:
The rest are incorrect.
Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
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<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
