The answer is C. 1
You can just plug in the different answers for x and see which one equals zero.
F(1) = 1 + 4 + 1 - 6 = 0
so you have a 148+85+85=318, 360-318=42 is the measure of angle T because all four angles together make 360
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)
We have a right triangle with legs of 6 and 8. The hypotenuse is unknown so let it be x for now
Plug these three values
a = 6
b = 8
c = x
into the Pythagorean Theorem below. Then solve for x
a^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64 = x^2
100 = x^2
x^2 = 100
sqrt(x^2) = sqrt(100) ... apply the square root to both sides
x = 10
The final answer is 10 ft. This option isn't listed which makes me think your teacher made a typo somewhere.
