Answer:
Step-by-step explanation:
14.)
lets first find x:
2x+x+90=189
3x=90
x=30
lets find y:
2y=x
2y=30
y=15
lets find z:
2y+z=180
30+z=180
z=150
With all the given context, I would assume it’s length times width, which would give us an answer of 40 :) hope this helped !
Answer:
Step-by-step explanation:
Let Carl do the job in c days, Anne- in a, and Bob in b days
Then the portion of job they can do is 1/c, 1/a and 1/b
<u>As per given we have below equations:</u>
- 1/c + 1/b= 1/6
- 1/a + 1/b = 1/3
- 1/a + 1/c = 1/5
<u>Sum of all 3 equations gives us:</u>
- 2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
- 2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
- 2(1/a + 1/b + 1/c) = 21/30
- 2(1/a + 1/b + 1/c) = 7/10
- 1/a + 1/b + 1/c = 7/20
It means all three together can complete 7/20 of the job in one day
<u>The rest of the job is done by Anne and Bob:</u>
<u>As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:</u>
<u>Add 1 day to this to find overall time:</u>
- 1 + 39 /20 = 59/20 days or 2.95 days
No clue, we need a graph of some sort
All of these transformations are equivalent to reflection across the line y=x:
- a reflection across the y-axis followed by a clockwise rotation 90° about the origin
- a clockwise rotation 90° about the origin followed by a reflection across the x-axis
- a counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis
- a reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin
_____
These are all but the second choice.
... reflection across y: (x, y) ⇒ (-x, y); 90°CW: (-x, y) ⇒ (y, x)
... 90°CW: (x, y) ⇒ (y, -x); reflection across x: (y, -x) ⇒ (y, x)
... 90°CCW: (x, y) ⇒ (-y, x); reflection across y: (-y, x) ⇒ (y, x)
... reflection across x: (x, y) ⇒ (x, -y); 90°CCW: (x, -y) ⇒ (y, x)
Note that the second choice gives a different result:
... reflection across y: (x, y) ⇒ (-x, y); 90°CCW: (-x, y) ⇒ (-y, -x)
