Answer:
Step-by-step explanation:
a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a
Use the formula s = sum of geometric series = -----------
1 - r
0.48 48
which in this case is s = --------------- = ------------ = 48/99 = 16/33
1 - 1/100 100 - 1
Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes
b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...
0.08
or 0.4 + 0.0888888888 ... or 0.4 + ------------
1 - 1/10
0.08 8
and this simplifies to 0.4 + ------------ = 0.4 + ---------
9/10 90
Evaluating this last result on a calculator results in 0.488888888 ...
c) 0.48 expressed as a fraction is 48/100 = 12/25
Answer:
The A) ΔABC ≅ ΔEDC
Step-by-step explanation:
The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.
As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.
Answer:
It is ...
Step-by-step explanation:
412 ÷ 20 = 20 boxes with 12 remaining.
Total boxes needed = 20 + 1 = 21
Answer: 21 boxes will be needed.
Estimate- 4,520
if you multiply -371954
Adding- 1779
