Answers
Answer:
[tex]csc(\theta)=\frac{6}{5}\\\\sin(\theta)=\frac{6\sqrt{11}}{11}\\\\cot(\theta)=\frac{6\sqrt{11}}{11}[/tex]
Step-by-step explanation:
This problem asks that one to finds the value of some basic trigonometric functions. Remember, the trigonometric ratios in a right triangle are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
One also has the reciprocal functions for trigonometric ratios these are as follows,
[tex]csc(\theta)=\frac{hypotenuse}{opposite}\\\\sec(\theta)=\frac{adjcanet}{opposite}\\\\cot(\theta)=\frac{adjacent}{opposite}[/tex]
This problem gives on the information that the side adjacent to the angle ([tex]\theta[/tex]) has a measure of (5) units. The hypotenuse, side opposite the right angle measures (6) units.
One can use the Pythagorean theorem to solve for the unknown side. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to the right angle of a right triangle. (c) is the side opposite the right angle; the hypotenuse. Substiute the given values in and solve for the unknown,
[tex](5)^2+(b)^2=(6)^2\\25+b^2=36\\b^2=11\\b=\sqrt{11}[/tex]
The problem asks one to find certain ratios. To do this, simplify substitute the sides into their respective positions in the ratio.
[tex]csc(\theta)=\frac{hypotenuse}{opposte}=\frac{6}{5}[/tex]
[tex]sin(\theta)=\frac{hypotenuse}{opposite}=\frac{6}{\sqrt{11}}=\frac{6\sqrt{11}}{11}[/tex]
[tex]cot(\theta)=\frac{adjacent}{opposite}=\frac{5}{\sqrt{11}}=\frac{5\sqrt{11}}{11}[/tex]
Related Questions
simplify the expression
7y − (6)2y − 12
Answers
Answer:
-5y-12
Step-by-step explanation:
Multiply 6 into 2y
7y-12y-12
-5y-12
what is 3/5 minus 5/11
Answers
Answer:
0.14545454545 Maybe
Step-by-step explanation:
Answer:
8/55
Step-by-step explanation:
The first thing you need to do is find a common denomintor.
The first denominator is 5, the other is 11.
If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.
So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:
3*11/5*11= 33/55
Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:
5*5/11*5=25/55
Now we have:
33/55-25/55
When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:
33-25/55=8/55
So 8/55 is your answer.
Hope this helps!
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Answers
Step-by-step explanation:
2*10+((4+10)x8)/2
=20+14*8/2
=76 sq meters
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answers
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right
Answers
Answer:
scalene
hope this helps
have a good day :)
Step-by-step explanation:
Now that we know that 2π is about 6.28, π2 is about 9.86, and 58−−√ is between 7 and 8, which choice represents the correct order of these expressions from least to greatest: 58−−√, 2π, π2, 8?
Answers
Answer:
use miss r sir hope I helped you
Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answers
Answer:
Yes , and u can learn a lot just by answering an asking questions
1. What is the discriminant of the equation 5x2 - 20x + 20 = 0?
Answers
Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0
A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?
Answers
Answer:
17,576,000 different license plates are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
For each letter, there are 26 possible outcomes.
For each digit, 10 possible outcomes.
So
L - L - L - D - D - D
Number of possible outcomes:
26 - 26 - 26 - 10 - 10 - 10
Each character of the license plate is independent, so, by the fundamental counting principle:
26*26*26*10*10*10 = 17,576,000
17,576,000 different license plates are possible.
7. The fastest ever Formula 1 qualifying lap at Silverstone is 1 minute, 29.6 seconds.
The fastest ever racing lap is 1 minute, 30.9 seconds.
How many tenths of a second quicker is the qualifying lap?
Answers
Answer:
1.3 seconds ; 13 tenth of a second
Step-by-step explanation:
Fastest ever qualifying lap = 1 minute 29.6 seconds
Fastest ever racing lap = 1 minute 30.9 seconds
The difference :
1 minute 30.9 seconds - 1 minute 29.6
30.9 seconds - 29.6 seconds = 1.3 seconds
1.3 seconds = 1.3/0. 1 = 13 tenth of a second
Will mark Brainlest help plsssss
Answers
Answer:
45 is answer I guess cuz my teacher taught me just like that
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answers
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -1010)
X + 80
70°
A) 5
C) -10
B) 8
D) 7
Answers
Answer:
C: x=-10
Step-by-step explanation:
Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)
factorise fully 16c^4p^2+20cp^3
Answers
Answer:
Step-by-step explanation:
16c^4p^2 + 20cp^3
take common
=4cp^2(4c^3 + 5p)
Given the expression below:
[tex] \large \boxed{16 {c}^{4} {p}^{2} + 20c {p}^{3} }[/tex]
We can factor out c-term, p² and 4 (from 16 and 20)
[tex] \large{4c {p}^{2} (4 {c}^{3} + 5p)}[/tex]
Answer
4cp²(4c³+5p)What is the equivalent recursive definition for an = 12+ (n - 1)3?
A. a1 = 3, An = An-1 + 12
B. a1 = 12, An = 30n-1
C. a1 = 12, Un = On-1 +3
D. a1 = n, an= 1201-1+3
Answers
Answer:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
Step-by-step explanation:
Given
[tex]A_n =12+(n-1)3[/tex]
Required
Write as recursive
We have:
[tex]A_n =12+(n-1)3[/tex]
Open bracket
[tex]A_n =12+3n-3[/tex]
[tex]A_n =12-3+3n[/tex]
[tex]A_n =9+3n[/tex]
Calculate few terms
[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]
[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]
[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]
The above shows that the rule is to add 3.
So, we have:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
Need help ASAP NO LINKS
Answers
Answer:
9
Step-by-step explanation:
5(n-2)=35
5n-10=35
5n=35+10
5n=45
n=45/5
n=9
Please mark me as brainliest
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answers
Answer:
the answer is a.12
i think
Answer:
17.25
Step-by-step explanation:
3. (a) Find the elasticity of the demand function p2 + 2p +
4 = 49 at p = 6.
(b) How will a price increase affect total revenue?
Answers
Answer:
6^2+12+4=49
36+16=49
52=49
therefore.3
write three ratios equivalent to the given ration 7/2
Answers
Answer:
(7*2 / 2*2) = 14/4 = 3.5
(7*3 / 2*3) = 21/6 = 3.5
(7*4 / 2*4) = 28/8 = 3.5
Step-by-step explanation:
just multiply or divide both number by the same quantity and you will maintain the ratio
The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?
Answers
Answer:
B. g(x)=x²-3 b is my answer
Find the surface area of the regular pyramid
Answers
Answer:
surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
-
The average recovery time for all heart attack patients that the cardiologist has or will treat
-
All heart attack patients that the cardiologist has cared for or will care for in the future
-
The average recovery time for the 32 heart attack patients
-
The 32 heart attack patients who were observed by the cardiologist
-
The list of all 32 heart attack patients' recovery times
-
The recovery time for a heart attack patient
Answers
Answer: See explanation
Step-by-step explanation:
1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter
2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.
3. The average recovery time for the 32 heart attack patients = Statistics
4. The 32 heart attack patients who were observed by the cardiologist = Sample
5. The list of all 32 heart attack patients' recovery times = Data
6. The recovery time for a heart attack patient. = Variable
please helppppppppp me
Answers
Multiply each term number below by 5 to form a sequence
Answers
Answer:
Multiply the numbers by 5
Step-by-step explanation:
Mark me brainlist?
verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
Answers
The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the
measure of each angle.
The m_A is
1° m
and m_B is
Answers
Answer:
angle A=54 degree
angle B =36 degree
Step-by-step explanation:
let angle B be x
angle A=x+18
since they are complementary angles sum of these two angles will be 90 degree
x+x+18=90
2x=90-18
2x=72
x=72/2
x=36 degree
substitute the value of x to find angle A and angle B
for angle A
x+18
36+18
54 degree
for angle B
angle B =x
=36 degree
[12÷(9-6)]+4×6
please help
Answers
The answer is 28 ez.
Answer:
the answer is 28
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEEE
Answers
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15
Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?
Answers
Answer:
89
Step-by-step explanation:
341 ( total of previous 4 tests) + 89= 430
Divide 430 by 5 ( number of tests)
Which graph shows a polynomial function of an even degree?