Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
The monument is approximately 86.6 feet tall
Step-by-step explanation:
The given monument parameters are;
The distance of the person from the monument = 50 feet
The angle of depression from the top of the monument to the person's feet = 64°
Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;
tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)
∴ The height of the monument = tan(Angle of depression) × The distance from the monument
Substituting the known values, gives;
The height of the monument = tan(60°) × 50 ≈ 86.6
The height of the monument ≈ 86.6 feet.
Answer:
y=0.2x+29
Step-by-step explanation:
Given that:
y is the total monthly of the A Fee and Fee plan.
x is the number of monthly minutes used.
- If a customer uses 290 minutes, the monthly cost will be $87, we have the pair (290, 87)
- If the customer uses 980 minutes, the monthly cost will be $225, this is the coordinate pair (980, 225).
We want to obtain an equation in the form: y=mx+b
First, let us determine the slope, m
Given points (290, 87) and (980, 225):
<u>Slope</u>
Next, we determine the y-intercept, b.
Substituting the pair (290, 87) and m=0.2 in y=mx+b, we obtain
87=0.2(290)+b
b=87-0.2(290)=29
Therefore, our equation in the form y=mx+b is:
y=0.2x+29
Each box may receive more than one letter.
121 is the area of the square
