Answer:
22.
Step 1: Find area of inner square = 4 ft × 12 ft = 48ft2
Step 2: Find area of outer shape =
25 ft +11 ft = 36 cm2
Step 3: Area of shaded region = area of outer shape – area of inner square
= 36 ft2 – 48 ft2
= 12 ft2
Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
The product of something means multiplying the terms together.
(2x+3) (4x^2-5x+6)
Secondly you need to distribute the terms to each other (Think of problems like FOIL)
2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6
Then you must take into account that some of the numbers are negative. (minus-plus rules!)
2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6
Now is the tricky part of simplifying everything.
2x * 4x^2 = 8x^3
2x * 5x = 10x^2
2x * 6 = 12x
3 * 4x^2 = 12x^2
3 * 5x = 15x
3 * 6 = 18
8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
Then you group like terms.
8x^3 - 10x^2 + 12x^2 - 3x + 18
8x^2 + 2x^2 - 3x + 18
The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!
The distance between those two points would be (8,-3)
Answer:
66.24 (This answer does not match to any of the options...)
Step-by-step explanation:
This shape can be divided into 2 different shapes. A triangle and a rectangle.
Area of a Triangle = 
× base × height
= × 8.8 × 7.8
= 34.32
Area of a Rectangle = Length × Width
= (19.2 - 7.8) × (8.8 - (3+3))
= 11.4 × 2.8
= 31.92
Total area = 34.32 + 31.92 = 66.24
