Answer:
a) p + q + r
b) 2(a + b)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the <u>distance</u> all the way around the outside.
An algebraic expression contains one or more numbers, variables, and arithmetic operations.
A variable is a symbol (usually a letter) that represents an unknown numerical value in an equation or expression.
<u>Question (a)</u>
The length of each side of the triangle is labeled p, q and r. Therefore, the perimeter is the sum of the sides:
Perimeter = p + q + r
So the algebraic expression for the perimeter of the triangle is:
p + q + r
<u>Question (b)</u>
Not all of the sides of the shape have been labeled.
However, note that the horizontal length labeled "a" is equal to the sum of "c" and the horizontal length with no label.
Similarly, note that the vertical length labeled "b" is equal to the sum of "d" and the vertical length with no label.
Therefore, the perimeter is twice the sum of a and b:
Perimeter = 2(a + b)
So the algebraic expression for the perimeter of the shape is:
2(a + b)
Answer: The third option is correct.
Step-by-step explanation:
In order for two equations to be parallel, the equations' slopes must be the same.
Answer:
(1) 0.125
(2) 0.125
Step-by-step explanation:
The total number of possible outcomes is:
N = 8
(1)
Compute the probability that the number picked is between 3 and 5 as follows:
Number of Favorable outcomes = 1
The probability is:
P (Number picked is between 3 and 5) = 1/8 = 0.125
Thus, the probability that the number picked is between 3 and 5 is 0.125.
(2)
The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.
Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1
P (less than 4 ∩ within [3, 5]) = 1/8 = 0.125
Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.
Answer:
2.2
Step-by-step explanation:
This is because you can use long divison on paper, 25 goes in 50 2 times so it would be remaining with 5 and since you need no remainers bring down a zero which gives you an extra 50 and 25 goes in 50 2 times so 2.2