12 students are girls and 8 are boys.
Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
Answer: 1102
Explain: 8 x 9 = 72
72 x 3 = 216
216 x 5 = 1080
1080 - 4 = 1076
1076 + 28 = 1104
1104 - 2 = 1102
Answer:
y is equal to 2 and x is equal to 31 degrees.
Step-by-step explanation:
In order to find this, we must note that similar parts of congruent triangles are congruent. Since y is congruent to the part that is labeled 2, then it is an easy comparison.
x is a bit trickier. For this one, we must find the missing angle of the first triangle. To get that, we must subtract the given angle and the right angle from 180. This will give us x.
180 - 59 - 90 = x
31 = x
<span>So we need to find the fraction of many times does purple show up in 20 trays in which every tray has 5 colors. To find the answer we need to find the overall number of all colors and that is 20 trays * 5 colors and that equals to 100 colors. So purple shows 20 times and 20/100 is 1/5 when we simplify the fraction. </span>