<h2><u>
Answer:</u></h2>
1- Length of PQ: 233
2-Area of rectangle: 21840
3- Length of RS: 241.87
4-Area of triangle: 12600
<h2><u>Explanation-</u></h2>
to find the lengths of RS and PQ use the pythagorean theorem 
to find area of triangle use 
(area = base times height divided by 2)
to find area of rectangle use
(area= length times width
Convert 36 4/9 to an improper fraction. Use this rule: a b/c = ac + b/c
-36 × 9 + 4/9 - (-10 2/9) - 18 2/9
Simplify 36 × 9 to 324
- 324 + 4/9 - (-10 2/9) - 18 2/9
Simplify 324 + 4 to 328
- 328/9 - (-10 2/9) - 18 2/9
Convert 10 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 10 × 9 + 2/9) - 18 2/9
Simplify 10 × 9 to 90
-328/9 - (- 90 + 2/9) - 18 2/9
Simplify 90 + 2 to 92
- 328/9 - (-92/9) - 18 2/9
Convert 18 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 92/9) - 18 × 9 + 2/9
Simplify 18 × 9 to 162
-328/9 - (- 92/2) - 162 + 2/9
Simplify 162 + 2 to 164
-328/9 - (- 92/9) - 164/9
Simplify brackets
-328/9 + 92/9 - 164/9
Join the denominators
-328 + 92 - 164/9
Simplify
-400/9
Convert to a mixed fraction
Answer:
36 and -12
Step-by-step explanation:
One of the numbers is x then the second number will be 24-x
x = 72 - 3x
x = 36
therefore the second number -12
Let x be the number of 52 cent stamps that Sally has and let y be the number of 34 cent stamps that she has.
Then,
52x + 34y = 1150 --- (1)
Also, she has six more 34 cent stamps than 52 cent stamps.
Therefore, y = x + 6
(1) becomes
52x + 34(x + 6) = 1150
52x + 34x + 204 = 1150
86x + 204 = 1150
86x = 1150 - 204
86x = 946
x = 11
and y = 11 + 6 = 17
Hence, Sally has eleven 52 cent stamps and seventeen 34 cent stamps.
Answer:
630
Step-by-step explanation:
