To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer: 112°
Step-by-step explanation:
a straight line only has 180° at all times so it is a matter of subtraction. 180-68 is 112° so from there you can find #2 as 68°, #3 as 90° and #4 as 90°, and so on.
Answer:
(24x + 24) units
Step-by-step explanation:
A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Perimeter = 2(2x + 11 + 10x + 1)
Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)
Perimeter = (24x + 24) units
69×2 [8+12-10×2+ (7-5) -1] -6
69×2 [8+12-10×2+2-1] -6
69×2 [8+12-20+2-1] -6
69×2 [20-20+2-1] -6
69×2 [0+2-1] -6
69×2 [1] -6]
138 [1] -6
138-6
132
I believe this is ur answer.