If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0
Answers
Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13
Answer: - 12/13
Related Questions
A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find the probability that the family has no boys.
Answers
This is the resultant combinations:
b b b b
b b b g
b b g b
b b g g
b g b b
b g b g
b g g b
b g g g
g b b b
g b b g
g b g b
g b g g
g g b b
g g b g
g g g b
g g g g
If you count all the possibilities they are 16. Which is the same as 2^4 = 2*2*2*2, so I know that I didn't miss a combination.
The possibility of having no boys is one (g g g g combination) in 16, so the probability is 1 / 16 = 0,0625.
The probability that the family has no boys is [tex]\(\frac{1}{16}\)[/tex] or 0.0625.
At each level, the tree branches into two, representing the two possible genders for that child. Since there are four children, there will be [tex]\(2^4 = 16\)[/tex] branches at the end of the tree, each representing a unique sequence of genders for the four children.
The sample space, therefore, consists of 16 possible outcomes, which are:
1. BBBB
2. BBBG
3. BBGB
4. BBGG
5. BGBB
6. BGBG
7. BGGB
8. BGGG
9. GBBB
10. GBBG
11. GBGB
12. GBGG
13. GGBB
14. GGBG
15. GGGB
16. GGGG
Now, we want to find the probability that the family has no boys. From the sample space, there is only one outcome where all four children are girls (GGGG).
Since each outcome is equally likely, and there are 16 possible outcomes, the probability of having no boys is the number of favorable outcomes (in this case, 1) divided by the total number of possible outcomes (16).
Therefore, the probability [tex]\(P\)[/tex] of having no boys is:
[tex]\[ P(\text{no boys}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{16} \][/tex]
The graph shows the solution to which system of inequalities?
A) y < x + 1 and y < x - 3
B) y ≤ x + 1 and y > x - 3
C) y ≤ x + 1 and y ≤ x - 3
D) y ≤ x + 1 and y ≥ x - 3
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you can buy 5 cans for green beans at the village market for $3.60. You can buy 10 of the same cans of beans at Sam's club for $6.90. Which place is better buy?
Answers
Final answer:
To find the better buy for cans of green beans, calculate the cost per can at both stores and compare. Sam's Club sells at $0.69 per can which is cheaper than the Village Market's $0.72 per can, hence Sam's Club is the better buy.
Explanation:
To determine which place offers a better buy for the cans of green beans, we need to calculate the price per can at both the Village Market and Sam's Club. Then, we can compare the two to see which is cheaper.
At the Village Market, 5 cans cost $3.60. To find the cost per can, divide $3.60 by 5. $3.60 ÷ 5 = $0.72 per can.
At Sam's Club, 10 cans cost $6.90. To find the cost per can, divide $6.90 by 10. $6.90 ÷ 10 = $0.69 per can.
Sam's Club offers a lower price per can than the Village Market, making it the better buy for the cans of green beans.
Lisa Richter deposited $5,000 at 4% compounded semiannually for three years. At the beginning of the fourth year, Lisa deposited $2,500. What would her balance be at the end of five years assuming she is still earning 4% compounded semiannually?
$5,131
$8,131
$8,800
$8,800.99
None of these
Answers
Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y=16-6x
What does the number 16 in the equation represent
Answers
16 is the original distance her dance class was from home.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y = 16-6x
The given equation is the equation of the line with a slope of -6 and the y-intercept is 16.
Here, 16 is the original distance her dance class was from home.
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3.2=15.75+3.2d;Find d
PLZ SHOW WORK AND THEN EXPLAIN
Answers
3.2. -15.75 -15.75
-----------
-12.55
------------
3.2d
d= -3.921875
You have to do the inverse operation, so you subtract 15.75 to 15.75 then you cross those out. Then you subtract 3.2 to 15.75 which equals -12.55. After that, you divide 3.2 to 3.2, cross those out, then divide -12.55 to 3.2 which equals -3.921875~
What percent of 52 is 12? Round answer to the nearest tenth.
Answers
A square floor has 100 tiles. each tile is one square foot. what is the length of one side of the square floor?
A) 10 feet
B) 20 feet
Answers
The length of one side of the square floor is 10 feet because the square root of the total area (100 square feet) is 10.
Explanation:The subject of this question involves understanding the properties of a square in geometry. In a square, all sides are equal. If the total area of the square floor is 100 square feet (since each tile is 1 square foot), you determine the length of a side by finding the square root of the total area. The square root of 100 is 10. So, each side of the floor is 10 feet long. Therefore, the correct answer is Option (A) 10 feet.
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Nendell saw at a diner if he bought one of each item and spent $7.50, how much did the drink cost
Answers
5x + 0.15 = 7.50
5x = 7.35
x = 1.47
1.47 +0.10=1.57
so, the drink costs 1.57
Each drink costs $1.57
Based on the information given,the equation to solve the question will be:
3x + 0.05 + x + x + 0.10 = 7.50
Collect like terms
5x + 0.15 = 7.50
5x = 7.35
Divide both side by 5
5x/5 = 7.35/5
x = 1.47
Therefore, the cost of drink will be:
x + 0.10 = 1.47 + 0.10 = 1.57
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A company earned $675 power washing driveways. They charged $45 to power wash each driveway. How many driveways did they power wash? A:10 B:11 C:14 D:15
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Simplify this equation for me please, thanks :D
7/8m + 9/10 - 2m - 3/5
Answers
Hope this helps!
Which of the following is the correct way to write seventy million as a numeral? 7000,0000 70,00,00,00 700,00000 70,000,000
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Is -4.08 bigger or smaller than -4.7
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5>7
-4.08>-4.7
becuase the closer to zero the larger the number is for negative numbers only.
25 PTS!!! 3 students have gotten 3 different scores on a test, their scores were 87%, 75%, and 90%. Those 3 students want to know the average score for them.
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The correct answer: 84%
Please show work!!!!!!!
Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?
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Dan's ratio= 5
total ratio = 7+5=12
ilya share of hats =
[tex] \frac{7}{12} \times 360 = 210[/tex]
dans share of hats =
[tex] \frac{5}{12} \times 360 = 150[/tex]
so ilya has 60 more hats than Dan
[tex]210 - 150 = 60[/tex]
The non-simplified total is 360, so the ratio would be x:y:360
12•30=360, so you must multiply the other parts of the ratio by 30 in order to find out x and y
7•30=210
5•30=150
So, the ratio is 210:150:360
Ilya had 210 hats, Dan had 150, for a total of 360.
210-150=60
Ilya had 60 more hats than Dan
sneakers are normally $89.99 but are discounted to $56.49. what percent of the original does raymond pay?
Answers
hope this makes sense and helps good luck let me know if it's wrong
There is a frog jumping contest in Hippity Hop County. Leaping Larry jumps 18cm every 6 seconds.
Bouncing Billy jumps 7 cm every 3 seconds.
What is the difference in the distance they jumped at the end of 1 minute?
Answers
Bouncing Billy jumps 140 cm every 1 min
180 - 140 = 40 cm difference
solve for t in scientific formula d=rt
Answers
you are solving for r
d=rt
-- --
t t
you divide both sides by r, so your answer is:
d/t=r or r=d/t
I hope this helped! :))
A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55. There are 4 more dimes than nickels and 3 quarters more than dimes. How many of each are there?
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let: number of nickels = n then: number of dimes = n+4 and: number of quarters = (n+4)+3 = n+7 express total amount in cents $4.55 = 455 cents express total in cents by multiplying quantities of coins by value and adding them up. 455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6 so number of nickels = 6. number of dimes = number of nickels + 4 = 6+4 =10 number of quarters = number of dimes + 3 = 10+3 = 13 There are 6 nickels, 10 dimes and 13 quarters.
Find the area 34 1/2 and 36 1/2
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y=2x+3 what type of graph represents the solutions of the equation?
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Mrs Delgado needs to buy 160 begonias. One plant costs $2. One flat with 20 plants cost $30. How many dollars will she save if she buys them by flat instead of separately?
Answers
160 divided by 20 = 8 Mrs Delgado can buy 8 flats
8 x $30 = $240
How much she saves = $320 - $240 = $80
Mrs Delgado saves $80 if she buys it from flat than separately
D=2730 mi t=9.75 h find r
Answers
[tex]r=\frac{d}{t}[/tex]
[tex]r=\frac{2730}{9.75}=280 mph[/tex]
The student can find the rate by using the formula r = D/t, which yields approximately 280 miles per hour when substituting the provided values.
Explanation:The student is provided with distance (D) and time (t) and needs to find the rate (r). This is a typical problem that can be solved using the fundamental relationship between these variables, which is expressed by the equation D = r*t. To find r, we can rearrange this equation to get r = D/t.
Substituting the provided values into the formula gives r = 2730 mi/9.75 h = 280 mi/h approximately. Therefore, the rate or speed of the journey is 280 miles per hour.
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Blake sold 52 tickets to the school play, and Jane sold 8 tickets. What is the ratio , in simplest form, of the number of tickets Jane sold to the number of tickets Blake sold?
Answers
It starts out as 8:52, but you can take a 4 out of both simplifying it to 2:13
4:26
2:13 hope this helped:)
Complete the following statement. If AB = BC and A,B,C are collinear, then b is the BLANK of AC
Answers
Answer:
the cube root
Step-by-step explanation:
The completed statement would be: "If AB = BC and A, B, C are collinear, then B is the midpoint of AC."
In the statement "AB = BC" and "A, B, C are collinear", we have three points [tex]\( A \), \( B \), and \( C \)[/tex] lying on the same line.
When [tex]\( AB = BC \)[/tex], it means that the distance from point A to point B is equal to the distance from point [tex]\( B \)[/tex] to point [tex]\( C \)[/tex]. Geometrically, this implies that point [tex]\( B \)[/tex] is located exactly halfway between points [tex]\( A \)[/tex] and [tex]\( C \)[/tex] on the line.
So, in this scenario, [tex]\( B \)[/tex]serves as the midpoint of the line segment [tex]\( AC \),[/tex] dividing it into two equal parts. This is a fundamental property of collinear points and equality of segments in geometry.
-3+ac=c-4 solve for c please help me out
Answers
1= c(1-a)
c = 1/ (1-a)
hey I need these by 8am or I'm screwed,
[tex]34.4 \div 4[/tex]
which is greater 214.001 or 214.01
2.5x 10³
Answers
The value 214.01 is greater.
2.5 x 10^3 = 2,500
1 M = 100 CM
2 M = 200 CM
3 M = 300 CM
4 M = 400 CM
5 M = 500 CM
6 M = 600 CM
7 M = 700 CM
If you want detailed explanations after you get done with your classes ill be glad to explain. Happy studying!
What is the value of 1 + x ÷ 5, when x = 80?
Answers
16+1= 17
The answer is 17, I hope this helps
on monday, steven read o pages of his new book. To finish the first chapter on tuesday, he needs to read double the number of pages he read on monday. How many pages does he need to read on tuesday?
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What is the difference between px+q=r and p(x+q)=r
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p(x+q) = r
px + pq = r, while the first one is px + q = 4
hope this helps