Answer: 31) d 32) c
<u>Step-by-step explanation:</u>
31)
A = {1, 3, 5, 15}
B = {2, 3, 5, 7}
A ∪ B = {1, 2, 3, 5, 7, 15}
C = {2, 4, 6, 8}
(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}
<em>2 is the only number in both sets</em>
32)
The pattern is: reflection, add symbol, ..., reflection, add symbol.
The last image shown is: add symbol
So the next image will be: reflection (flipped to the left)
Answer:
1/3
Step-by-step explanation:
I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..
Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.
Hope that makes sense.
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :

x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
Answer:
C = 106.76 cm
Step-by-step explanation:
In the diagram, we are given the diameter (d), which is 34 cm. Using the formula you are given, we know circumference is 3.14 × d
C = 3.14 × d
C = 3.14 × (34)
C = 106.76 cm
The circumference is around 106.76 cm