If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Answer:
25.8 pounds
Step-by-step explanation:
3 x 8.6 = 25.8
Heya friend !!
During water cycle , Water in liquid state absorbs tremendous amounts of incoming solar energy causing it to evaporate and it is released back in the atmosphere while the formation of clouds during Condensation .
Hence , We got our answer as D.
Hope it helps you :)
Answer:
The correct answer is 10 days.
Step-by-step explanation:
To fill a trench, 5 men work for 6 hours a day for eight days.
Total work hours required is given by 5 × 6 × 8 = 240 hours.
The same work is supposed to be done by 3 men working 8 hours a day.
Let these three men need to work for x days.
Therefore total work hour these group of three men gave = 3 × 8 × x = 24x hours
Therefore the work hour of both the group of 5 men and 3 men should be equal.
⇒ 24x = 240
⇒ x = 10
Therefore the group of 3 men have to work for 10 days to fill the trench.
Don’t really pay attention to the x .
