Answer: 3 2/3 Yards
Step-by-step Solution:
In order to solve this problem, you'll want to set up a conversion equation.
** 1 Yard = 3 Feet **
To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.
You can then solve by using simple division. I will attach a photo of the steps I did by hand.
** Canceling the units will help avoid confusion **
After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.
3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.
I hope this helps! c:
Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
Answer: 4a
Explanation If ‘a’ represents his age today, and you have to find his age in four years you take 4 multiplied a. (4 x a) putting it together and you would get 4a
Answer:
32
Step-by-step explanation:
Answer:
-3+6y = 9x
6y = 9x+3
y = 9/6x+3/6
y = 3/2x+1/2 ⇒ slope-intercept form
