Answer:
Step-by-step explanation:
Solving (47):
To solve for B, we have:
--- sum of angles in a triangle
This gives
Collect like terms
Solving (48):
To solve for Y, we have:
--- sum of angles in a triangle
This gives
Where
-- angle on a straight line
Solve for X
So, we have:
<h3>
Answer: 5/12 (choice C)</h3>
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
9514 1404 393
Answer:
Step-by-step explanation:
Side lengths in an isosceles right triangle have the reduced ratios ...
1 : 1 : √2
Yours have the ratios ...
9 : x : y
If you multiply the reduced ratios by 9, you can find the values of x and y.
9 : 9 : 9√2 = 9 : x : y
x = 9
y = 9√2
To do this, nice it to add 3 and 5, then divide 72 by the result of sum 3 and 5. Finally multiply it by 3 and by 5 to get the result.
Lets do this
3+5=8
72:8=9 - number of rolls in 1 "unit"
9*3=27 - first group
9*5=45 - second group
We must follow order of operations rules (PEMDAS).
Thus, mult. and div. must be carried out before addn. and subtrn.
Calculate the quotient of (-2/5) and (4/5). In other words, divide (4/5) into (-2/5). Invert (4/5) and multiply:
(-2/5)(5/4) = -1/2
Then we have, in place of the original expression, the following expression:
-3/4 - 1/2 + (2 1/2).
Rewriting 2 1/2 as an improper fraction and elim. the parentheses yields:
-3/4 - 2/4 + 5/2, or -3/4 - 2/4 + 10/4, since the LCD is 4.
This yields 5/4 (answer)
