Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9) 
Grouping similar terms:
Applying common factor 
in the first parenthesis and common factor 
in the second parenthesis:
This is the answer
11) 
Rearranging the terms:
Applying common factor 
in the first parenthesis and common factor 
in the second parenthesis:
This is the answer
<u>Multiply:</u>
19) 
Multiplying both fractions:
Dividing numerator and denominator by 3 and simplifying:
This is the answer
21) 
Operating with cross product:
Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29) 
Simplifying:
This is the answer
33) 
Factoring numerator and denominator:
Simplifying:
This is the answer
37) 
Applying the distributive property in numerator and denominator:
Grouping similar terms and factoring by common factor:
Dividing by 
in numerator and denominator and simplifying:
This is the answer
Answer:
The 4 interior angles in the square are each 90 degrees. The four angles formed by the intersection of the 2 diagonal lines are each 90 degrees. The rest of the angles <PQT, <RQT, etc. Are all 45 degrees.
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 1^2) / 4
A = 1pi / 4
A = 0.79 square centimeters
Hope this helps! :)
Your answer is the last one!
Answer:
110 + 10x ; 40x
4
Step-by-step explanation:
Given that:
For every visit to Arts museum:
Scenario 1:
Parking fee = $15
Admission fee = $25
Total amount for scenario 1:
If number of visits = x
Total cost = $(15 + 25) × number of visits
Total cost : $40x
With membership :
Price of membership = $110 (one time payment)
Parking fee = $10
Admission fee = $0
Let number of visits = x
Total cost :
Membership fee + (parking fee × number of visits)
$110 + ($10 * x)
= 110 + 10x
B) number of visits for which member cost is less than non-member cost :
Member cost = 110 + 10x
Non member cost = 40x
110 + 10x < 40x
10x - 40x < 110
-30x < 110
x > 3.67
Hence x = 4
Number of visits for which member cost is greater than non member cost is 4
