Answer: A. $1189.97
Step-by-step explanation:
Answer: 100
Step-by-step explanation: Formula for area of the parallelogram: <em>base times height</em>
8 1/3 x 12 = 100
100 is the answer
Answer:
x=19
Step-by-step explanation:
These two angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 =7x+15-15
133 = 7x
Divide by 7
133/7 = 7x/7
19 =x
Answer:
11.06°
Step-by-step explanation:
The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...
c² = a² +b² -2ab·cos(C)
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)
C ≈ 11.06°
From the footballer's viewpoint, the goal posts are 11.06° apart.
So first you have to understand what consecutive numbers are.
Consecutive numbers are numbers like 4, 6, 8, 10, or 16, 18, 20.
So let's set up an equation, using x as the first consecutive number.
x + x + 2 + x + 4 = 102
Then simplify:
3x + 6 = 102
Subtract 6 from both sides.
3x = 96
Divide 3 on both sides:
x = 32
So the first number is 32, which means the other 2 numbers are 34, and 36.
To check our answer, let's put the numbers in the equation.
32 + 32 + 2 + 32 + 4 = 102
Yep! That's correct.
The answer is 32, 34, and 36.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
