Answer:
70
Step-by-step explanation:
From the question given above, the following data were obtained:
TU = 8x + 11
UV = 12x – 1
Next, we shall determine the value of x.
From the question:
U is the midpoint. This means that TU and UV are equal i.e
TU = UV
With the above idea in mind, we shall determine the value of x as follow:
TU = UV
TU = 8x + 11
UV = 12x – 1
8x + 11 = 12x – 1
Collect like terms
11 + 1 = 12x – 8x
12 = 4x
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Next, we shall determine the length of TU and UV. This can be obtained as follow:
TU = 8x + 11
x = 3
TU = 8(3) + 11
TU = 24 + 11
TU = 35
UV = 12x – 1
x = 3
UV = 12(3) – 1
UV = 36 – 1
UV = 35
Finally we shall determine the length of TV. This can be obtained as follow:
TV = TU + UV
TU = 35
UV = 35
TV = 35 + 35
TV = 70
Therefore, the distance between my house and grandma's house is 70.
NOTE: Assume the distance is measured in kilometer (km)
This means that I will travel 70 km from grandma's house to my house.
The answer is 1x because -10 divided by -10 is 1 so add the x to get 1x
Answer:
d(apart are the ships)=42.8 meters
Step-by-step explanation:
Given data
h (height)=38m
Ф₁=53°
Ф₂=28°
d(how far apart are the ships)=?
Solution
d₅₃°(distance to ship at 53°)=h/tanФ₁
d₅₃°=38/tan(53°)
d₅₃°=28.6m
now
d₂₈°(distance to ship at 28°)=h/tanФ₂
d₂₈°=38/tan(28°)
d₂₈°=71.4m
d(apart are the ships)=d₂₈°-d₅₃°
d(apart are the ships)=71.4-28.6
d(apart are the ships)=42.8 meters
