Answer:
$49.35
Step-by-step explanation:
Answer:
Mean weight = 19 pounds
Step-by-step explanation:
From the question given above, the following data were obtained:
17, 11, 21, 24, 22
Number of data (n) = 5
Mean weight =?
The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:
Summation of data = 17+ 11 + 21 + 24 + 22
= 95
Number of data = 5
Mean = Summation of data / Number of data
Mean = 95 / 5
Mean weight = 19 pounds
Therefore, the mean weight of the data is 19 pounds
Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
Answer: 4
36.87 degrees
Step-by-step explanation:
The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).
Since the triangle is a right angled triangle,
We can apply Pythagoras theorem to get the opposite side.
Hypothenuse ^2 = opposite ^2 + adjacent ^2
5^2 = 4 ^2 + opposite ^2
opposite = √ 25 - 16
opposite = √9 = 3
Let the angle be # degrees,
Cos # = adjacent / hypothenuse
= 4/5 = 0.8
# = cos^-1 (0.8) = 36.87 degrees