Find sec, tan 0, and sin 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
0
4
5
Answers
The exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
How to determine the trigonometric ratiosFrom the figure, we have the values of the sides to be;
opposite side = 5Adjacent side = 4Let's use Pythagorean theorem to find the hypotenuse(x)
Hypotebuse square = opposite side square + adjacent side square
Substitute the values deduced from the figures given
x² = 5² + 4²
x² = 25 + 16
x² = 41
x = [tex]\sqrt{41}[/tex]
x = 6. 4
sin θ = opposite/hypotenuse
Substitute the values
sin θ = 5/ 6. 4
tan θ = opposite/ adjacent
Substitute the values
tan θ = 5/ 4
sec θ = hypotenuse/ adjacent
substitute the values
sec θ = 6. 4/ 4
Thus, the exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
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Related Questions
The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
1.36
1.70
2.50
0.45
1.18
0.64
3.46
0.57
2.00
0.80
1.60
0.98
0.36
2.24
4.35
0.62
2.70
1.78
1.53
0.84
Required:
a. Compute the population mean and population standard deviation for the regional cigarette taxes.
b. The population standard deviation is σ=_______
c. Interpret the parameters in​ (a).
1. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
2. The population mean is the most common regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
3. The population standard deviation is the average amount of regional cigarette tax. The population mean represents the amount of spread in the regional cigarette tax around the standard deviation.
4. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the mean.
Answers
Answer:
(a) [tex]\bar x= 1.583[/tex] -- Population Mean
(b) [tex]s = 1.032[/tex] --- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]
[tex]\sum x = 31.66[/tex]
[tex]n = 20[/tex]
So, we have:
[tex]\bar x= \frac{31.66}{20}[/tex]
[tex]\bar x= 1.583[/tex]
Solving (b): The population standard deviation
This is calculated as:
[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]
[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]
[tex]\sum (x -\bar x)^2 = 21.29222[/tex]
So:
[tex]s = \sqrt{\frac{21.2922}{20}[/tex]
[tex]s = \sqrt{1.06461}[/tex]
[tex]s = 1.032[/tex]
Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes. At the same moment, the angle of depression from the airplane to a battleship is 17 degrees 30 minutes. The distance from the airplane to the battle ship is 5120 ft. Find the distance between the battleship and the submarine.
Answers
15 PTS !!
NEED ASAP HELP !!
Answers
Answer:
314.16 m^2
Step-by-step explanation:
8.652
10)
1.2
Help please
Answers
Answer:
1.921
Step-by-step explanation:
U=x/k solve for x HELP THIS IS DUE IN 30 MIN
Answers
Answer:
first you multiply both sides by k. that makes kU equals x
The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5
Answers
Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
A dozen of oranges costs P288.50. About how much is the cost of 5.75 dozen?
A.$2,800
B.$1,900
C.$1,800
D.$900
Answers
Answer:
A is the correct answer, hope this helps
si la cantidad de nacimientos es de 19 bebes por día, Cuántos nuevos habitantes existieran en 300 días
Answers
la respuesta correcta es: 5,700
Answer:
5700
Step-by-step explanation:
Vi en la calculadora yo xd
Keith has saved 12 quarters from washing cars how many cents does Keith have
Answers
Answer:300
Step-by-step explanation:25 cents each quarter so the equation would be 12 times 25.
Answer: 300 cents
Step-by-step explanation: 12 quarters saved, 1 quarter = 25 cents, 12 x 25 = 300
Whats the equation in slope-intercept form -y - 3x = 4
Answers
Answer:
y = -3x - 4
Step-by-step explanation:
Using algebra we solve for solely y
-y = 3x + 4
y = -3x - 4
A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18.
Answers
Answer:
The answer is increased by 9
Step-by-step explanation:
Does anybody know how to do this?
Answers
Answer:
hajajajanannanssjaiwowi
The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the number of pounds of apples and the total cost.
HELP ASAP PLEASE
Answers
Pls help im an idiot and cant solve this first gets brainliest
Answers
Answer:
1. 6 x 7/2 = 21
2. 6 x 10/3 = 20
3. 6 x 25/6 = 25
Step-by-step explanation:
please help me asap!!
Answers
Answer:
3
Step-by-step explanation:
If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3
Answer:
f=3
Step-by-step explanation:
5/10=x/6
10x=30
x=3
Having trouble with this problem
Answers
Answer:
True
Step-by-step explanation:
Brandon says that 3/8 equals 8/13 because 3 + 5 equals 8 + 8 + 5 equals 13 is he correct ? Explain
Answers
Not sure where they even got the 5 from.
can someone please help me
Step-by-step explanation please
Answers
Answer:
x=3
Step-by-step explanation:
AB+BC>AC
2x + 3 + x + 1 > x + 10
we correct like terms
2x + x + 3 + 1> x+ 10
3x + 4> x + 10
3x - x > 10-4
2x > 6
divide both sides by 2
2x÷2 > 6÷2
x = 3
11. Let f(x) = 2x² + 7x + 5
Answers
Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
Find the length of the hypotenuse if a = 5 and b = 7. Round to the nearest tenths.
Answers
Answer:
8.6
Step-by-step explanation:
To find the length of a hypotenuse, use the formula a²+b²=c² where c is the hypotenuse. In this case, it's 5²+7²=c². Then do the calculations and take the square root to find c. 25 + 49 = c². 74=c². The square root of 74 to the nearest 10th is 8.6
Simplify this expression.
(2 - 5/6) 3/2
O 6V2 - 1576
62 - 15/12
O 672-876
O 672-30/3
Answers
Answer:
The second one is correct
Answer:
b
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST
Answers
Answer:
I don't know Im sorry
Step-by-step explanation:
Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.
Answers
The researcher exercise direct control over at least one variable.
Answer:
C?correct me if I'm wrong
Determine the missing card value that will result in a product of -324.
-6 3 -9
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-324 ÷ -6 ÷ 3 ÷ -9 = 162
-324 ÷ 162 = -2
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
28ft
Step-by-step explanation:
PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;
Answers
Answer:
infinitely many solution......
What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24
Answers
Answer: I think
Step-by-step explanation:
1/12
Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99. She has a coupon for 15% off the most expensive item. If the tax is 7.5%, what is the total cost?
Answers
no lm not sure but lm sure$107.97
Step-by-step explanation:
okieee
The total cost is $108.01.
What is a percentage?
A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Mary buys a pair of jeans for $24.99, a skirt for $32.99 and a pair of shoes for $49.99.
She has a coupon for 15% off the most expensive item.
And the most expensive item costs $49.99.
That means, 15% of 49.99
15 x 49.99 = $7.4985
So, the total amount 24.99 + 32.99 + 49.99 - 7.4985
= 100.4715
The tax is 7.5%.
That means,
7.5% of 100.4715
7.5 x 100.4715 / 100 = 7.5353625
Now the total cost = 100.4715 + 7.5353625 = 108.0068625
Therefore, $108.01 is the total cost.
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‼️ANSWER QUICKLY THIS IS A TIMED TEST ‼️The community garden in your neighborhood has three
different types of vegetable plants: peppers, tomatoes, and
cucumbers. The ratio of the number of peppers to tomatoes
to cucumbers is 1:5:3. If there are 48 cucumber plants in the
garden, how many total vegetable plants are there in the
garden?
Answers
Pls help me with this
Answers
Answer:
the third one!
Step-by-step explanation:
Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:
1/2 + x
Then it says those two numbers equal to 4, so it would look like this:
1/2 + x = 4
Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:
1/2 + x = 4
-1/2 -1/2
1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3 1/2), so x would be 3 1/2
x = 3 1/2
Hope this helped. If this is incorrect please specify so I can help :)