Answer:
84
Step-by-step explanation:
because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:
x/48 = 21/12 (multiply both sides by 48)
x = (21/12)· 48
x = 21 ·4
x = 84
Answer:
570 miles
Step-by-step explanation:
304/4 is how many miles it travels in each hour and if its 7.5 hours then you multiply that by each mile it takes each hour.
304/4 = 76
76 x 7.5 = 570
Reflection across the x-axis (because there is a negative)
And
Vertical compression (because a is between 0 and 1)
A clock is a circle which is 360 degrees.
There are 12 hours -----> 360/12 = 30 degrees.
Going clockwise, add 30 degrees for every hour the hour hand is at.
There are 60 minutes -----> 360/60 = 6 degrees.
Add 6 degrees for every minute the minute hand is at.
Find position of both hour hand and minute hand, then take the difference.
Time is 5:15.
Hour hand is at 5 plus 15/60 or 5.25.
Multiply by 30. 30*5.25 = 157.5
Minute hand is at 15.
Multiply by 6. 15*6 = 90
157.5 - 90 = 67.5 degrees.
