What is the value of x? sin(x+34)°=cos(2x+20)° Enter your answer in the box. x =
1 answer:
Answer:
The correct answer is -9.73°.
Step-by-step explanation:
The procedure is:
sin(x + 34)°=cos(2x+20)°
⇒ tan = 1 ; [assuming cos (2x+20)°
0]
⇒ x + 34 = 45 × ( 2x +20)
⇒ x + 34 = 90x + 900
⇒ 89x = -866
⇒ x = -9.73
and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.
Therefore the value of x is given by -9.73°.
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Answer:
The required probability is 0.048
Step-by-step explanation:
Consider the provided information.
Out of 52 card we need to select only 2.
Therefore the sample space is:
One card is Ace. The number of Ace are 4 and we need to select one of them.
This can be written as:
The second card can be Ten or a Jack or a Queen or a King.
There are 4 Ten, 4 jack, 4 Queen, and 4 king in a deck and we need to select only 1 out of them.
So we can say that we need to select 1 card out of 16.
This can be written as:
Thus, the probability that one of the cards is an ace and the other one is either a ten, a jack, a queen or a king is:
Hence, the required probability is 0.048
Answer:
Mean. It includes all data points.
Step-by-step explanation:
-We first need to calculate the mean, median and mode then compare our values:
#Mean:
#The median is the middlemost data point in a lsit data:
778,783,784,786,790,804,807,810,819,823
-Since our data points is an even number, the median number is calculated as:
#Mode is the data point with the highest frequency:
-Since there's no number appearing more than once, our set has no mode.
#Since our data set has no outliers and is not a skewed distribution, the mean will be the best measure as it includes all data points