Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answers
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
[tex]c^{2}=a^{2} +b^{2}[/tex]
[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = [tex]\frac{10}{10.19}[/tex]
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = [tex]\frac{2}{10.19}[/tex]
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = [tex]\frac{10}{2}[/tex]
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
Learn more about Trigonometric functions and Pythagorean theorem here
https://brainly.com/question/14669175
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Related Questions
4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?
Answers
Answer:
7
Step-by-step explanation:
perimeter - 7+7+7+7=28
area - 7×7 = 49
it's a square so all sides are the same length.
area is length times width
perimeter is all sides added together.
Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answers
Answer:
12.04
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 9² = c²
64 + 81 = c²
145 = c²
c = 12.04
the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee
Answers
Answer:
geometry
The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest
The sum of the interior angles of a pentagon is 180(5-2) = 540º
so
4x + 5x + 3x + 8x + 7x = 540
solve for x and sub into 3x
6 ft = ____ yd
6 ft = 6 x 1 ft
= 6 x ____ yd
= ____ yd
Answers
Answer:
6 ft = 2 yd
6 ft = 6 x 1 ft
= 6 x 2 yd
= 12 yd
help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?
Answers
Answer:
23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26
Answer: j=27 degrees
49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!
Hope this helped you!
Extra Points and brainliest! Question below
Answers
Answer:
14 one fourths
Step-by-step explanation:
First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!
Answer:
14 fourths
Step-by-step explanation:
Hey There!
So to solve this problem we need to divide 7/2 by 1/4
[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]
Therefore 14 fourths can go into 7/2
please help asap !!! Which of the following points is a solution to the system of equations shown in the graph above?
A.(-2, 1)
B.(0, 0)
C.(0, 3)
D.(1, -2)
Answers
Answer:
a
Step-by-step explanation:
A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?
Answers
14x4=56
Answer:
56 cm (22.4 in)
Step-by-step explanation:
14+14+14+14=56 or 14x4=56
5.5 + n = 10 please help
Answers
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?
Answers
Answer:
32.
1st get the total age of the students
x/20 = 11
x=11x20
x =220 (total age of students)
add y ( teachers age) to the equation
(220 + y)/21=12
y= 32
Answer:
32
Step-by-step explanation:
20 * 11= 220
21 * 12= 252
252-220=32
7x2 + 4x - x2 whats the answer?!?
Answers
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
[tex] {6x}^{2} + 4x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]
2) Simplify.
[tex] {6x}^{2} + 4x[/tex]
Therefor, the answer is 6x² + 4x.
Type the correct answer in each box.
Consider the expressions shown below.
А.
B
C с
-872
-
3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
-
(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
(12t2 – 2x – 13) + (-4x2 + 5x + 9) is equivalent to expression
Answers
Answer/Step-by-step explanation:
✔️(3x² - 7x + 14) + (5x² + 4x - 6)
3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)
Add like terms
3x² + 5x² - 7x + 4x + 14 - 6
8x² - 3x + 8
Therefore:
✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.
✔️(2x² - 5x - 3) + (-10x² + 2x + 7)
2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)
Add like terms
2x² - 10x² - 5x + 2x - 3 + 7
-8x² - 3x + 4
Therefore:
✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4
✔️(12x² - 2x - 13) + (-4x² + 5x + 9)
12x² - 2x - 13 - 4x² + 5x + 9
12x² - 4x² - 2x + 5x - 13 + 9
8x² + 3x - 4
Therefore:
✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4
Answer:
B, A, C
Step-by-step explanation:
How to get 10 with the numbers 7, 11, 4 and 2 in that order?
Answers
Answer:
Huh!! What is this question supposed to mean?
Help me pls i don't got a lot of time
Answers
Answer:
true
Step-by-step explanation:
I swear I know
i know it
2/7 of 49
fractions
Answers
Answer:
14
Step-by-step explanation
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?
Answers
Answer:
Step-by-step explanation:
1.5×0.5^(⅙) ≅ 1.3 mg
Find the length of the third side. If necessary, round to the nearest tenth
Answers
Answer:
x=14.28
Step-by-step explanation:
24^2+x^2=28^2, Pythagorean theorem
x^2=28^2-24^2
x^2=(28+24)(28-24)
x^2=52*4
x^2=204
x is around 14.28
Please find the circumference, will give brainliest!
Answers
Answer:
43.96
Step-by-step explanation:
Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make
Answers
Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?
Answers
Answer:
Probability: 140/210= 14/21Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?
Answers
Amount Avery paid: 32,000-12,000-6,000 = 15,000
Divide portion she paid by total cost:
15,000/33,000
Simplify to 15/33
Multiply the amount the boat was sold for by her portion:
25,300 x 15/33 = 11,500
Subtract the amount she got from the amount she paid:
15,000 - 11,500 = 3,500
She lost $3,500
Answer:
yes
Step-by-step explanation:
yes!
Help on question 5 please :))
Answers
Answer:
the answer is I LIKE YOUR CUT G
Step-by-step explanation:
your a bot at fortnite
Answer:
b. Substitute 8x+4 for y in the first equation.
There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impressions of invincibility that these costumes could create. Below there is data about the severity of injury (on a scale from 0, no injury, to 100, death) for children reporting to the emergency center at hospitals and information on which superhero costumes they were wearing (Spiderman, Superman, Batman).
Spiderman Superman Batman
55 68 26
31 32 47
58 85 30
20 69 35
47 58 53
37 52 43
Compute the following descriptive statistics for each group. (30 points total)
a. Mean
b. Sample size (n) for each group
c. Standard Deviation
d. Square root of n
e. Standard error of the mean (SEM)
Answers
Answer:
[tex]Mean = 47[/tex]
[tex]n = 6[/tex]
[tex]s= 16.56[/tex]
[tex]\sqrt n = 2.45[/tex]
[tex]SEM = 11.55[/tex]
Step-by-step explanation:
Given: The above data
Solving (a): Mean of each group
Mean is calculated as:
[tex]Mean = \frac{\sum x}{N}[/tex]
[tex]Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30 +35 + 53 + 43}{18}[/tex]
[tex]Mean = \frac{846}{18}[/tex]
[tex]Mean = 47[/tex]
Solving (b): The sample size of each group
This is the number of rows in each group.
Hence:
[tex]n = 6[/tex]
Solving (c): Standard deviation (s)
This is calculated as:
[tex]s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}[/tex]
So, we have:
[tex]s= \sqrt{\frac{(55 - 47)^2 + (31 - 47)^2 +......... + (43 - 47)^2}{18}}[/tex]
[tex]s= \sqrt{\frac{4936}{18}}[/tex]
[tex]s= \sqrt{274.22}[/tex]
[tex]s= 16.56[/tex]
Solving (d): Square root of n
[tex]\sqrt n = \sqrt 6[/tex]
[tex]\sqrt n = 2.45[/tex]
Solving (e): SEM
This is calculated as:
[tex]SEM = \frac{s}{\sqrt N}[/tex]
[tex]SEM = \frac{47}{\sqrt{16.56}}[/tex]
[tex]SEM = \frac{47}{4.07}[/tex]
[tex]SEM = 11.55[/tex]
Help I’m doing 8th grade work
Answers
Answer:
I think B by I'm not sure
Step-by-step explanation:
I'm not good with this subject
Find the volume of the triangular prism.
PLEASE HELP!
Answers
Answer:
53.76 cm³
Step-by-step explanation:
1/2(4.8)(3.2)(7)=53.76
The picture is quite blurry. I think it's 4.8 at the base, but can't see for sure.
2/5 x 30 pls help me
Answers
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12.
Write the percent as a fraction or mixed number in lowest term 74 3/8%
Answers
Answer:
222/2 = 111
8/2 = 4
74 /1
Step-by-step explanation:
Helllllllpppppp please help me
Answers
Answer:
i think maybe j that is what I think
What is the value of p when the expression 2(4 + x) is equivalent to 2(x + p)?
Answers
Answer:
p = 4
Step-by-step explanation:
[tex]2(x+p)=2(4+x)\\x+p=4+x\\p=4[/tex]
(fractions) 3/4 + 1/5
Answers
Answer:
19/20
Step-by-step explanation:
write all numerators above the least common denominator 20
15+4/20
add the numbers
19/20
Answer: 19/20
Step-by-step explanation:
Find your common denominator
3/4
Multiply by 5
15/20
1/5
Multiply by 4
4/20 + 15/20= 19/20
Hope this helped :)