This problem can be looked at like a right triangle, where the hypotenuse is 750 and one leg is 450. Thus 450^2 + the length of the park^2 = 750 ^2.
202500 + the length of the park^2 = 562500
the length of the park^2 = 360000
the length of the park = 600
Hope it helps <3
You most likely will win a token. you have the advantage as the most they can win is 1 token if you lose, but you can win 3 tokens.
Answer:
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
Step-by-step explanation:
350 = 12(x + 20)
Multiply out brackets: 350 = 12x + 240
Subtract 240 from both sides: 110 = 12x
Divide both sides by 12: 9 1/6 = x
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
Answer:
Step-by-step explanation:
Let the coordinates of point B are (x, y).
Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).
- x = 15 cos (-60°) = 7.5
- y = 15 sin (-60°) = -12.99
<u>The distance between A and B is:</u>
- AB = = 15 units
<h3><u>Another solution</u></h3>
Since OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.
Given:
Rate of reduction : 85%
Remaining volume: 120 ml.
This means that 120 ml is equivalent to 15% of the original volume.
100% - 85% = 15%
120 ml ÷ 15% = 800 ml.
There was 800 ml of water before it was reduced.
800 ml * 85% = 680 ml ⇒ volume reduced
800 ml - 680 ml = 120 ml ⇒ volume left after reduction.