Answer:
Step-by-step explanation:
For each problem you need to make sure that the angles are the same.
So x + 22 = 90
x = 90 -22 = 68 degree
For the second problem
7x + 10 = 8x
10 = 8x -7x
x = 10 degree
The average speed of an object moving is its rate of change per time interval. It is equal to the total distance traveled divided by the total time it takes to travel that distance. We calculate the average speed of the olympic record as follows:
The units of the average speed should be miles per hour so we need to convert the distances in to miles and time into units of hours.
distance 1= <span>26 mi
distance 2 = 385 yd ( 1 mile / 1760 yd ) = 0.21875 mi
total distance = 26 + 0.21875 = 26.21875 mi
time 1 = 2 h
time 2 = 9 min ( 1 h / 60 min ) = 0.15 h
time 3 = 21 s ( 1 h / 3600 s ) = 0.0058 h
total time = 2 + 0.15 + 0.0058 = 2.1558 h
average speed = total distance / total time = 26.21875 mi / 2.1558 hr = 12.1620 mi / h</span>
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why 
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
This gives:
In the second triangle:
So:
By comparison:
Hence:
Answer:
5
Step-by-step explanation:
2/4=y/10
=> 2x10=yx4
=> 20=yx4
=>y=5
