Answer:
it depends on the sale the store is having
Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
D1 = 60 for a price of $80. Charging $80 will ensure supply exceeds demand.
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The store apparently could charge a price slightly lower than $80, but we cannot tell from the chart how much lower.
Answer:
3•(10•12)=3•(12•10) = 360 = True
Step-by-step explanation:
left-hand side Simplify the following:
3×10×12
10×12 = 120:
3×120
3×120 = 360:
Answer: 360
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Right-hand side:
Simplify the following:
3×12×10
Hint: | Multiply 12 and 10 together.
12×10 = 120:
3×120
Hint: | Multiply 3 and 120 together.
3×120 = 360:
Answer: 360
