Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
Those are not equivalent.
Answer:
900 yd²
Step-by-step explanation:
You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...
... area = (60 yd)(10 yd) + (20 yd)(15 yd)
... = 600 yd² +300 yd²
... = 900 yd²
Answer:
14.7 mi
Step-by-step explanation:
This can be solved with the Pythagorean Theorem. This represents a triangle where the length of a is 13, b is 7, and c is unknown.
We know that
, and we can plug in what we know and use algebra to solve for c.
,
169 + 49 = c^2
218 = c^2, c^2 = 218
√c^2 = √218, or c = 14.7. The length from his home to his place of work is 14.7 mi
Answer: r + 6
Step-by-step explanation:
Shown in the question, r represents the numbers of marbles that Rory has. Conrad has 6 more marbles than Rory, which means than is r + 6.