Answer:
It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.
Step-by-step explanation:
If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula
d = r*t
Where d is the distance traveled in miles
r is the rate of speed in miles/ hour, and
t is the time in hours
d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have
175 miles = (50 miles/hour) * t Divide both sides by 50 miles/hour
Our miles unit will cancel out, leaving us with
3.5 hours = t
Answer:
31.13
Step-by-step explanation:
If you look carefully, you will find a semicircle and a triangle.
The total area is =

- r = 4 - 0 = 4
- base = |-4-0 | = 4
- height = 14 - 9 = 5
So if we put the values:

Answer:
x = 18
y = 15
Step-by-step explanation:
Remark
Step One
The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.
<em><u>Conclusion from the Remark</u></em>
5x = 90
x = 90/5
x = 18 degrees
Step Two
Find y
y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.
So just add the 4 angles together and equate to 360
5(y + 11) + 4y - 10 + 90 + 90 = 360 Combine like terms
5(y + 11) + 4y - 10 + 180 = 360 Combine again
5(y + 11) + 4y + 170 = 360 Subtract 170 from both sides
5(y + 11) + 4y = 360 - 170 Combine like terms
5(y + 11) + 4y = 190 Remove the brackets
5y + 55 + y4 = 190 Combine like terms
9y + 55 = 190 Subtract 55 from both sides.
9y = 190 - 55
9y = 135 Divide by 9
y = 135 / 9
y = 15
Answer:
43 students were in each bus
Step-by-step explanation:
Total students: 395
Students travelled in cars: 8
Students travelled in buses: 395-8=387
Number of buses filled:9
Number of students in each bus: 387÷9=43
Answer:
260 cm
Step-by-step explanation:
Each 1/00 of a meter is 1 cm, so 65/100 meters is 65 cm. If that is the length of paper required for 1 kite, then 4 times that length will be required for 4 kites.
__
The paper required for 4 kites is ...
(65 cm) × 4 = 260 cm