Answer:
they are all equivalent to 8:5
Step-by-step explanation:
that is because is you simplify 16:10 by 2 you get 8:5 and when you simplify 24:15 by 3 you get 8:5
So, all we have to do here is multiply:
First, the amount of car spaces by the amount of rows:
38 x 4 = 152
This is the number of parking spots per level.
Then, the number of levels by the number of parking spots on each level:
152 x 7 = 1064
So, a total of 1,064 cars can be parked in this building!
Answer:
The correct answer is x = 24.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:
m<a = m<b
If we substitute their values, we get the following:
5x - 24 = 3x + 24
To solve this equation, we can first subtract 3x from both sides of the equation.
2x - 24 = 24
Next, we can add 24 to both sides of the equation.
2x = 48
Finally, we can divide both sides of the equation by 2.
x = 24
Therefore, the answer is x = 24.
Hope this helps!
Answer: 
<u>Step-by-step explanation:</u>
It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0). Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ 
It is given that sin θ = 
⇒ y = -7 & hyp = 25
Use Pythagorean Theorem to find "x":
x² + y² = hyp²
x² + (-7)² = 25²
x² + 49 = 625
x² = 576
x = 24
Use the "x" and "hyp" values to find cos θ:
Lastly, input cos θ into the half angle formula:
Reminder: We previously determined that the half-angle will be negative.
