Answer:
4√(7^5) and (4√7)^5
Step-by-step explanation:
7^5/4
The above can be expressed as follow: Method 1:
7^5/4
(7^5)^1/4
Recall:
(a^m)^1/n = n√(a^m)
Therefore,
(7^5)^1/4 = 4√(7^5)
Method 2:
7^5/4
(7^1/4)^5
Recall:
(a^1/m)^n = (m√a)^n
Therefore,
(7^1/4)^5 = (4√7)^5
From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5
Rounded to the nearest ten thousand, 15,677 would become 20,000. To be
rounded down to 10,000, the original number would need to be 14,999 or
lower.
Answer:
The answer is e
Step-by-step explanation: I calculated the percent and none of these match up 6% of 4000 is 240
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
