Answer:
the smallest part is 2
Step-by-step explanation:
lets take x as the smallest part
then the largest part=3x
the middle sized part=2x
x+2x+3x=12
6x=12
x=12/6
x=2
therefore the smallest part is equal to 2
14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
Answer:
8/15
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To determine the rate of a number do the following steps:
Multiply the number by the percent (e.g. 87 * 68 = 5916)
Divide the answer by 100 (Move decimal point two places to the left) (e.g. 5916/100 = 59.16)
Round to the desired precision (e.g. 59.16 rounded to the nearest whole number = 59)