Recognize that these are isosceles right triangles, so the legs are equal and the hypotenuse is √2 times the leg length.
1. x=9, y=9√2
3. x=20, y=20√2
Answer:
Butch should be awarded with 9,2 points
Step-by-step explanation:
Roofy gets 9 points out of 10 missing only a pipe, that means that each pipe is awarded with 1 point
Ralph gets 7 points out of 10 missing one pipe ( 1 point ) and 2 points missing a beam
So points are awarded as follows
1 point by pipe then 4 points for 4 pipes
2 points by beam then 4 points for 2 beams
We just have 2 points to award 10 jumps then each jump is awarded by 0,2 points
Finally as Butch missed 4 jumps, Butch should be awarded with 9,2 points
Answer:
A, B, C, and E
Step-by-step explanation:
y = 4x - 20
8x - 2y = - 20 (divide everything by 2)
4x - y = -10
-y = -4x - 10
y = 4x - 10
4x - 10 = 4x - 20
0 
-10
No solution
Answer:
It would take 4 weeks
Step-by-step explanation:
We can solve this problem most easily by forming it into an equation. We could represent weeks as <em>w.</em>
Since you train 5 more minutes every week, we could represent that as 5<em>w</em>, showing that you work 5 minutes times the number of weeks you worked out.
The constant would be adding 10, since you started out working 10 minutes a day. Now lets just write the equation!
10+5<em>w</em>=30
All we have to do is solve.
Subtract 10 on both sides to cancel out the positive 10.
5<em>w</em>=20
Now just divide both sides by 5 to isolate the <em>w</em>.
w=4
It would take him 4 weeks
Hope this helps!
Answer:
Step-by-step explanation:
Here we have the length of the hypotenuse (16) and that of the vertical leg (11). The cosine function inputs this data:
adjacent side 11
sin x = ----------------------- = ---------------- = 0.6875
hypotenuse 16
We find x using the arccos function: arccos 0.6875 = 0.81 radians or
46.57 degrees
