She made the mistake of grouping unlike terms and factorizing.
Given that
Helene is finding the sum (9 + 10i) + (–8 + 11i).
She rewrites the sum as (–8 + 11)i + (9 + 10)i.
We have to determine
Which statement explains the property of addition that she made an error in using?
According to the question
The mistake she did is in the second term distributing.
(9+10i) is not equal to (9+10)i
Similarly (-8+11i) is not equal to (-8+11)i.
The correct method she should have done is given below;
Grouping real terms together and imaginary terms together and finding the sum is,
Hence, she made the mistake of grouping unlike terms and factorizing.
To know more about Complex Number click the link given below.
brainly.com/question/10078818
About 80% of a cookie each
Answer:
Explanation:
First, we must determine the circumference of the paddle wheel.
The formula for the circumference of a circle is:
c
=
2
π
r
Where
r
is the radius of the circle.
However, we know
d
=
2
r
where
d
is the diameter of the circle.
Therefore:
c
=
2
r
π
=
d
π
Substituting
12
ft
for
d
gives a circumference of:
c
=
12
π
ft
The time it takes to complete 1 revolution can be found using the formula:
t
=
d
s
Where:
t
is the time it takes: what we are solving for in this problem.
d
is the distance traveled: we calculated this as
12
π
ft
s
is the speed traveled: from the problem we know this is
7.2
ft
sec
Substituting and calculating
t
gives:
t
=
12
π
ft
7.2
ft
sec
t
=
12
π
ft
sec
7.2
ft
t
=
12
π
ft
sec
7.2
ft
t
=
12
π
sec
7.2
t
=
1
.
¯
6
π
sec
Two find how long it would take for 100 revolutions we can multiply this time by
100
100
×
1
.
¯
6
π
sec
⇒
166
.
¯
6
π
sec
If a number is required for the answer we can use 3.14 as an estimate for
π
giving:
166
.
¯
6
π
sec
⇒
166
.
¯
6
×
3.14
sec
⇒
523
sec
Step-by-step explanation:
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
