The ladder, floor and wall form a straight triangle. The angle between floor and wall is obviously 90, between floor and ladder is 38 (given), so the angle between wall and ladder must be (180-90-38 = 52).
The law of sines says that the side length divided by the sine of the opposite corner is a constant for all three corners.
Let's say the floor length is f.
Then 70/sin(38) = f/sin(52), so f = 70*sin(52)/sin(38) ≈ 89.6.
Answer:
4/5=16/20
Step-by-step explanation:
because
4x4
Answer:
Total cost = $111
Step-by-step explanation:
Given:
Total number of oak tree = 3
Total number of elm tree = 1
Each oak tree cost = $23
Each elm tree cost = $42
Find:
Total cost
Computation:
Total cost = 3[Each oak tree cost] + 1[Each elm tree cost]
Total cost = 3[23] + 1[42]
Total cost = 69 + 42
Total cost = $111
Answer:
x = 0.75
Step-by-step explanation:
Simplifying
(7x + -5) + -1(3x + -2) = 0
Reorder the terms:
(-5 + 7x) + -1(3x + -2) = 0
Remove parenthesis around (-5 + 7x)
-5 + 7x + -1(3x + -2) = 0
Reorder the terms:
-5 + 7x + -1(-2 + 3x) = 0
-5 + 7x + (-2 * -1 + 3x * -1) = 0
-5 + 7x + (2 + -3x) = 0
Reorder the terms:
-5 + 2 + 7x + -3x = 0
Combine like terms: -5 + 2 = -3
-3 + 7x + -3x = 0
Combine like terms: 7x + -3x = 4x
-3 + 4x = 0
Solving
-3 + 4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3
Combine like terms: 0 + 3 = 3
4x = 3
Divide each side by '4'.
x = 0.75
Simplifying
x = 0.75
Answer:
3/7 - 1/12 is equal to 29/84, which is less than 1/2, so no, it is not greater than 1/2.
Let me know if this helps!
