Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 = , and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
Answer:
b = 14
Step-by-step explanation:
Since both angles are diagonal each other, they are equal to each other.
5b = b + 56
-b -b (subtract b from both sides)
<u>4b</u> = <u>56</u>
4 4 (divide both sides by 4 to solve for b)
b = 14
February has the colder average temperature. The larger the negative number is, the colder it is. This applies to temperature, not all situations.
Multiply the first fraction by two and the second by twenty five on both top and bottom.
16/50 + 25/50 = 41/50
Answer:
x = (270° - 9y°)/2
y = (270° - 2x°)/9
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°
The angles in the quadrilateral above are: 3y°, 6y°, 2x° and 90°
2x° + 3y° + 6y° + 90° = 360°
2x° + 9y° = 360° - 90°
2x° + 9y° = 270°
2x° = 270° - 9y°
x = (270° - 9y°)/2
2x° + 9y° = 270°
9y° = 270° - 2x°
y = (270 - 2x°)/9