<h3>
Answer: 18</h3>
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Explanation:
2 cm on paper (or on screen) represents 3 meters in real life.
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension.
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
The area of the square is greater than the circle: the area of the circle is pi(r)^2 while the area of the square is length times width. The area of the circle is about 12.5 while the area of the square is 16.
Answer is (1) 160 km in 2 hours and
(2) 16 miles in 12 minutes.
Step by step.
80 km / 1 hour = x km /2 hours
Cross multiply =
x = 160
The second one requires a little more math. Because we are looking at how far in minutes, we change the rate of 80km in 1 hour to 80 km in 60 minutes.
80 km / 60 = x / 12
Cross multiply
12x = 960
Solve for x by dividing both sides by 12
X = 16
I did the math on a print screen to explain the cross multiply.
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
8 students traveled in cars, which means that 450 students traveled by bus.
Since there were 10 buses, just divide the number of students by the number of buses.
450 / 10 = 45
There were B. 45 students on each bus.