Sin(x-20)=1/root2
This question is confusing me.
Answers
Answer:
View Image
Step-by-step explanation:
Note that 1/√(2) is equal to √(2)/2:
1/√(2) = √(2)/2
So we're given that sin(x-20) = √(2)/2
The only place on the unit circle where sin() is equal to √(2)/2 is at π/4 and 3π/4.
That means the value inside the sine must be equal to π/4 and 3π/4:
since sin(π/4) = √(2)/2 and sin(π/4) = √(2)/2
then,
sin(π/4) = sin(x-20) and sin(π/4) = sin(x-20)
You set the inside of the parentheses equal to each other and solve for x.
You can also add a +2πk at the end since all sinusoidal graph repeats every 2π.
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6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?
A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, and B tickets cost $60 each. How many tickets of each type were sold?
c. mean: 46.85 median: 47 mode: none
b. mean: 46.85 median: 47 mode: 10, 47, 93
d. mean: 47 median: 46.85 mode: none
Answers
The mean of the given data is 46.85.
The mode of the given data is 47.
The median of the given data is 10, 47 and 93.
What is mean ?
The mean is the mathematical average of a set of two or more numbers.
Formula for mean
mean = sum of the given numbers/ total number of numbers
What is median?
Median is the middle number is a sorted list of the numbers.
Formula for median
for odd number of observations
Median = {(n + 1)/2}th term
for even number of observations
Median = [(n/2)th term + {(n/2)+1}th term}/2
where, n is the number of observations
What is mode?
The mode is the value that is repeatedly occurring in a given set or data.
According to the given question
we have a data
78, 31, 47, 51, 16, 58, 60, 10, 30, 40, 46, 63, 65, 10, 93, 22, 13, 47, 64, 93
Arranging the given data in ascending order
10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78 , 93, 93
Mean = (10+10+13+16+22+30+31+40+46+47+47+51+58+60+63+64+65+78+93+93)/20 = 937/20 = 46.85
Median =[(20/2)th term + {(20/2)+1}th term}]/2 = (10th term +11term)/2
= (47+47)/2 =47
Mode = 10, 47 and 93
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78 + 31 + 47 + 51 + 16 + 58 + 60 + 10 + 30 + 40 + 46 + 63 + 65 + 10 + 93 + 22 + 13 + 47 + 64 + 93 = 937
937 ÷ 20 = 46.85
Median:
10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78, 93, 93
• middle of the sequence ∧∧
Mode:
Number(s) that occur the most: 10, 47, and 93
Therefore, the answer is: b. mean: 46.85 median: 47 mode: 10, 47, 93
C' = (6, 6)
C' = (2, 0)
C' = (0, 2)
Answers
D. C'= (0,2)
Answer:
Point A is at (2,-3). Use the translation rule to determine the image of A. (x,y) --> (x+3 , y-1) *
Step-by-step explanation:
0.25
0.75
1.00
Answers
The probability that she will have two boys will be .
What is probability ?
Probability is the ratio of number of favorable outcome to the total number of outcome.
Probability
We have,
Boy-Boy
Girl-Girl
Boy-Girl
Girl-Boy
So,
Total number of outcome
And number of favorable outcome of Boy-Boy
So,
Probability
Probability (Boy-Boy)
Hence, we can say that the probability that she will have two boys will be .
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B BB BG
G GB GG
.25
Answers
Answer:
y= (-3/5)x + 3
Step-by-step explanation:
Slope-Intercept form is y = mx + b, where m is the slope and b the y-intercept.
12x-20y=60 Rearrange
20y=60 -12x
20y= -12x + 60
y= (-12/20)x + (60/20)
y= (-3/5)x + 3
Answers
Answers
First step: find divisibles of 90
1,2,3,5,6,9,10,15,18,30,45,90
Second step:find the pairs
1*90,2*45,3*30,5*18,6*15,9*10
Third step: find which one has a difference of 5
None of them is (expand this question more so i can help you)