Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
Roger needs to score 1163 more points to win the game.
Answer : $18.75
Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575.
Total hours worked = 44 hours
Normal 40 hours + 4 hours extra
Let x be the amount earned for 1 hour for regular 40 hours
1.5x be the amount earned for extra hours
40 (amount earned for normal hours ) + 4(amount for extra hours ) = gross pay
40x + 4(1.5x) = 575
40x + 6x = 575
46 x = 575
Now divide both sides by 46
x = 12.5
1.5x is the amount earned for extra hours
1.5 * 12.5 = 18.75
Bethany earn for each hour of overtime she worked is $18.75
Hi there!
To solve this problem, we need to simplify.
5x + 32 = 4 - 2x
7x + 32 = 4
7x = -28
x = -4
Hope this helps!
