Step-by-step explanation:
STEP 1:
Find a length of third side.
Use the Pythagorean theorem:
STEP 2:
Use the trigonometric functions:
STEP 3:
Use theorem: the sum of the measures of acute angles of the right triangle is 90°.
Example:
We have the length of legs: a = 3, b = 4.
Let c = hypotenuse.
Use the Pyhagorean theorem:
Angle between a and c (β):
Use sine. Therefore b = opposite, c = hypotenuse:
<em>look at the picture</em>
<em>subtract 37° from both sides</em>
Answer:
If two distinct planes intersect, then their intersection is a line. If two distinct lines intersect, then they intersect in exactly one point. If there is a line and a point not in the line, then there is exactly one plane that contains them. If two distinct lines intersect, then they lie exactly in one plane.
Step-by-step explanation:
Answer:
x = 6.3375
Step-by-step explanation:
sin53 = 4/5 (roughly) = 5.07/x
=> 4x = 25.35
=> x = 6.3375
Answer:
12 in diameter bed will give better value
Step-by-step explanation:
Given:
Cost of cover 12 in diameter bed = $150
Cost of cover 18 in diameter bed = $300
Find:
Better value
Computation:
Area of bed = πr²
Area of 12 diameter of bed = (22/7)(6)²
Area of 12 diameter of bed = 113.14 in²
Area of 18 diameter of bed = (22/7)(9)²
Area of 18 diameter of bed = 113.14 in²
Area of 18 diameter of bed = 254.57 in²
Compare cost of bed 1 = 113.14 / 150 = 0.75 in per dollar
Compare cost of bed 2 = 254.57 / 300 = 0.84 in per dollar
So,
12 in diameter bed will give better value