Answer:
1629
Step-by-step explanation:
10 to the second power = 100
100 x 16.29 = 1629
Answer:
x = 20
Step-by-step explanation:
The two indicated angles are vertical angles and vertical angles are equal
3x+50 = 6x-10
Subtract 3x from each side
3x-3x+50 = 6x-10-3x
50 = 3x-10
Add 10 to each side
50+10 = 3x-10+10
60 = 3x
Divide each side by 3
60/3 = 3x/3
20 =x
Everywhere you see z, replace the letter with 18.
z/[(3- 2z)] + 4(z - 8)
18/[(3 - 2(18))] + 4(18 - 8)
You finish.
X=200
2/3 of 15 is 10 make that negative add it to the other side 1/5x = 40 and then multiply 40 by 5 to get your answer
Check
1/5 of 200 is 40 - 10 = 30
40-10=30
30=30
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)