The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,
Cot A = Base/Perpendicular = 5/6
Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,
H² = 5² + 6²
H² = 25 + 36
H = √61
Now, the value of Cosec A can be written as,
Cosec A = Hypotenuse/Perpendicular = (√61) / (6)
Hence, the value of Cosec A is (√61)/(6).
Learn more about Trigonometric functions:
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Based on the graph, what is the solution set to the equation −30+9x=−0.5x|x−1|−2?
The solution set to the equation is {____}.
Answer:
{ 3 }
Step-by-step explanation:
-30+9x=-0.5 |x-1| -2
from the graph, we can see that both curves intersect at (3,-3)⇒x=3
put x=3 in LHS&RHS
⇒LHS=-30+9(3)=-3
RHS=-0.5 |3-1|-2=
-1/2×2-2=-1-2=-3
so the answer will be 3..
hope it helps..
have a great day!!
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6
Answer:
2x + 3
Step-by-step explanation:
two sides measure (x-1) which gives 2(x-1) or 2x - 2
subtract 2x - 2 from 6x + 4 to get 4x + 6
4x + 6 represents twice the length so divide it in half to get:
2x + 3
Answer:
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?
4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6
Step-by-step explanation:
EDGE 2021
A figure is shown on the grid. Which of the transformations
would NOT lead to a figure that is congruent to the figure
shown?
Select one:
1-Dilation
2-Reflection
3-Rotation
4-Translation
What’s the answer to this?
Answer:
45 degrees
Step-by-step explanation:
Have a grate Day :)
A science test had 32 true or false questions. Malik answered 75% of the questions correctly. How many of the questions did he NOT answer correctly?
Answer:
If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.
2X
[tex]2x + 4 = 0[/tex]
Answer:
The value of x = -2
Step-by-step explanation:
Given equation:
2x + 4 = 0
Find:
The value of x
Computation:
We know that given equation 2x + 4 = 0 is a liner equation with only one variable.
So, we can solve this by elimination method
2x + 4 = 0
Step 1 :
Subtract 4 from both side
2x + 4 - 4 = 0 - 4
2x = -4
Divide 2 from both side
2x / 2 = -4 / 2
x = -2
The value of x = -2
Fill in the missing number.______cm=1 meter
Answer:
100
Step-by-step explanation:
somebody please help it has been half an hour and no one has answerd my quesion :(
Step-by-step explanation:
incorrect question I think as x got eliminated while the question is solved
Posted Mar 22
Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?
Answer:
The value of r will be 0.043
Step-by-step explanation:
Firstly, we need to write the exponential decay formula
the general form of the formula is;
A = P(1-r)^t
where A is the price after a certain year t
P is the initial value
r is the decay rate
t is the time
From the question, we have that;
r = 4.3%
4.3% in decimal will be 4.3/100 = 0.043
Unit 7: Polygons & Quadrilaterals
Nomework 4: Rhombi and Squares
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
6x-21 —->
x=21+6
=27
Answer:
x=11°
Step-by-step explanation:
PSRQ is square ⇒ ∠PQR=90°⇒ ∠PQS=45° ⇒ 6x-21=45 ⇒6x=66 ⇒x=11°
solve x for 7× + 3 = 31
Answer:
X = 4
Step-by-step explanation:
7x + 3 = 31
Step 1: Subtract 3 from both sides.
7x + 3 - 3 = 31 - 3
7x = 28
Step 2: Divide both sides by 7.
7x/7 = 28/7
Therefore, the answer is X = 4
Alan has read 20% of his book. He has 64 more pages to finish. How many pages are there in the book?
Answer:
80 pages
Step-by-step explanation:
We can think of this as 80% of the book is 64 pages
.8x = 64
x=80
Sydney bought 3 cookies for 1.80 at this price how much would a dozen cookies cost
Answer:
$7.20
Step-by-step explanation:
A dozen = 12, Sydney bought 3 cookies for $1.80, 12 divided by 3 = 4, so 4 times $1.80 = $7.20
hope this helps :D
Answer:
7.20
Step-by-step explanation:
1. You roll a number cube numbered from 1 to 6.
P( a number divisible by 3).
1/2
Step-by-step explanation:
there are two numbers 3 and 6 so 2/6 is 1/3
OLEASE HELLPP I will mark good
A dartboard has a diameter of 30 inches. What are its radius and circumference?
Answer:
radius = 15 in.
circumference = 94.2 in.
Step-by-step explanation:
radius = diameter/2 = 30 in./2 = 15 in.
circumference = (pi)d = 3.14 * 30 in. = 94.2 in.
How do you get 4y-4x=16 into slope intercept form simplifying all fractions?
The length of a tropical garden at a conservatory is 5 feet more than its width. A
walkway 2 feet wide surrounds the outside of the garden. If the total area of the
walkway and garden is 126 square feet, find the dimensions of the garden,
43 grams of copper and 7grams other metals in a birdhouse, 83 grams of copper and 17 grams of other metals. Which one has more copper?
Answer: cage I
Step-by-step explanation:
Given
43 gm of copper and 7 gram of other metal
Another cage has 83 gram of copper and 17 gm of other metals
Here, the percentage of copper is
For the first case
[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]
For the second case
[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]
So, the cage-I has more percentage of copper
CAN SOMONE PLZ HELP ME ON THS
Answer:
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest!
Answer:
answer what?
Step-by-step explanation:
Use the information to answer the following question.
The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.
The table gives some of the values of the exponential function g.
x
-1
0
1
2
3
g(x)
-0.5
0
1
3
7
Which of the following statements is FALSE?
A.
f(3) > g(3)
B.
Both functions have a domain of all real numbers.
C.
The y-intercept of f(x) is greater than the y-intercept of g(x).
D.
The functions f(x) and g(x) have the same value at x = 1.
Answer:
Step-by-step explanation:
A weather report said there is a 60% chance of rain on Monday, and a
30% chance of rain on Tuesday. Based on the report, what is the chance
it will rain on both days?
-Select-
Find the value of x.
Answer:
this question doesnt make a lot of sence but i think its 90
Step-by-step explanation:
45+45 = 90
since ats a triangle 180-90 = 90
also the right angle with the red aquare is 90 degrese so i its 90
Answer:
Its a vertical angel, x + 45 =90.
Step-by-step explanation:
A 20-ounce soft drink costs $1.80. A 12-ounce soft drink costs $1.32.
Answer:
rfgvsdgsgvbd fs e gbaebg g
Step-by-step explanation:
CAN SOMEONE HELP ME, ILL GIVE BRAINIES AND PLEASE NO LINKS
A business owner receives a $5,000 loan with 13%
interest,charged at
the end of each year.
Write an expression to represent the amount owed, in dollars, after the
given number of years of making no payments.
1. after 1 year
2. after 2 years
3. after tyears
Answer:
Step-by-step explanation:
Given;
Loan = $5,000
Interest rate = 13% charged at the end of each year
Question 1. Expression to represent the amount owed, in dollars, after;
a. After 1 year.
Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * 1 year )
= 5650
b. After 2 years.
Owed amount = Loan + accrued interest
= $5000 + ( 13% * $5000 * 2 years )
= $6300
c. After t years
Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * t years )= $5000 + $650t
Question 2. Explain how to convince someone that your expression for t years is correct.
Amount owned= borrowed amount + accrued interest
Accrued interest = Interest rate per year * Loan amount * time in years ( for simple interest case )
Loan amount = $5000
Time = t years
Interest rate = 13% per year
Accrued interest = 13% * $5000 *t years= $650t
Amount owned will therefore be; = Loan amount + Accrued interest
= $5000 + $650t
Use the drawing given. (Please answer first blank and let me know it the second blank is correct.)
Answer:
EF = 12
arc AG = 62°
Step-by-step explanation:
since ED = 13, EC = 13, so DF = 10/2 = 5
EF² + 13² - 5² = 169 - 25 = 144
EF = √144 = 12
∠AEG = 90° - 28° = 62°
arc AG = 62°
Whats the common ratio of the geometric sequence 6, 36, 216,
Answer:
Common ratio is 6.
Step-by-step explanation:
The geometric sequence is being multiplied by 6 each time because 6x6=36, and 36x6=216.
Answer: Find the common ratio of the geometric sequence 6, 36, 216,...6,36,216,...
a_1=6 a_2=36 a_3=216
a
1
=6a
2
=36a
3
=216
\text{Common Ratio:}
Common Ratio:
r=\frac{a_2}{a_1}
r=
a
1
a
2
r=\frac{36}{6}
r=
6
36
r=6
r=6
please answer this for me
Answer:
70
Step-by-step explanation:
you add 95 and 15 and get 110 then you do 180-110 getting 70
how many ways can 5 friends sit together at the movies in 5 seats?
Answer:
120
Step-by-step explanation:
The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,
[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]
⇒ 5! / (5-5)!
⇒ 5! / 1!
⇒ 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.