It is neccesary because you cannot subtract them without having a common denominator so you have to rename 4 1/2
The answer is 7.
Hope this helps.
Answer:
18.1 cm
Step-by-step explanation:
AD segment breakup: 11=4+7
Pythagorean Theorem:
7^2+b^2=16^2
49+b^2=256
x^2=207
b=sqrt(207)
b=3sqrt(23)
Pythagorean Theorem:
11^2+3sqrt(23)^2=c^2
121+207=c^2
328=c^2
18.11=c
So the length of AC is around 18.1 cm
Answer:
<h3>100 tickets</h3>
Step-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
