Answer:
The bus drives 84 miles
Step-by-step explanation:
The question relates to relationship between average speed and time
The given parameters are;
The time duration in which the bus drives = 3/2 hours = 1.5 hours
The average speed of the bus = 56 mph
The formula average speed is given as follows;
Therefore, we have;
The total distance driven = Average speed × The time duration of travel
The total distance driven = The distance the bus drives
Substituting the given values, gives;
The distance the bus drives = 56 miles/hour × 1.5 hours = 84 miles
The distance the bus drives = 84 miles.
Are you trying to figure out the value of n?
Answer:
the fist one
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation:
This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.
The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.
1. Plug your given values correctly into the Pythagorean Theorem.
2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).
--> Square 8 and 17
--> Subtract 64 from both sides
--> Square root both sides to get b by itself
b = 15
3. The distance is 15 feet
*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder
Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
