1841 ≈ 1800 (nearest hundred)
964 ≈ 1000 (nearest hundred}
<span>1,841 + 964 </span>≈ 1800 + 1000 = 2800 (Answer B)
Answer:
The values of x = 12 and y = 8.
Step-by-step explanation:
From the given figure ,
ΔMTW≅ΔBGK
That is, these two triangles are congruent.
If two triangles are congruent , all the corresponding angles and corresponding sides are equal.
Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.
Therefore , ∠MTW = ∠BGK
(4x - 3)° = 45°
4x = 48°
x = 12
Since ∠MTW = 45° ,
∠TMW = 180 - (41 +45)
= 180 - 86
=94°
From congruency ,
∠TMW = ∠GBK
94° = 11y + 6
11y = 88°
y = 8
Answer:
A) 
B) 
C) for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : 
strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
b ) The initial conditions
The initial conditions are :
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
It depends on what you are rounding off to.
If you are round it off to the nearest ten, you must look at the unit number.
If you are rounding off to the nearest hundred, you must look at the ten number.
In this case I think they are asking to round to the nearest hundred. Now we must look at the ten number, which is the number after the 'hundred' number.
The ten number is '5' and the hundred number is '1'. If the ten number is 5 or above, it changes to 0 and it makes the hundred number one higher.
So because the ten number is 5, it changes to 0 and it makes the hundred number one higher, to become 2.
The number is now 200.
The bigger number is 42 and the smaller number is 10
