Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
Answer:
x= - square root 141 or x= square root 141
Answer:
The measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Step-by-step explanation:
We need to determine the measure of an interior angle of a regular 12-gon.
- We know that the number of sides in a regular 12-gon = n = 12
Thus,
Using the formula to determine the measure of an interior angle of a regular 12-gon is given by
(n - 2) × 180° = n × interior angle
substitute n = 12
(12 - 2) × 180 = 12 × interior angle
10 × 180 = 12 × interior angle
Interior angle = (10 × 180) / 12
= 1800 / 12
= 150°
Therefore, the measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Answer: 
Step-by-step explanation:
Total horses = 6
Number of ways to choose top 3 finishers in order = 3! = 6
Number ways to select 3 horses out of 8 in order = 
[By permutations]
Now, the probability that the gambler will win his bet =
Hence, the required probability =
Answer:
156
Step-by-step explanation:
s8 = n/2 [2t + (n-1)(d)]
= 8/2 [2(2) + (8-1)(5)]
= 4 [4 + (7)(5)]
= 4 (4 + 35)
= 4 (39)
= 156
