Answers
QUESTION:- PROVE THE IDENTITY
INDENTITY->
[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } = 2 \cosec^{2} (A) [/tex]
ANSWER:-
[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } \\ \\ \\ \frac{(1 + \cos(A)) + (1 - \cos(A))}{(1 - \cos(A))(1 - \cos(A))} \\ \\\\ \frac{2}{ {1}^{2} - \cos^{2} (A) } = \frac{2}{ \sin^{2} (A) } \\\\\\ 2 \cosec^{2} (A) = 2 \cosec^{2} (A) \\ \\ \\ LHS=RHS \\ \\ HENCE \: \: \: PROVED[/tex]
Step-by-step explanation:
1.cross multiply
2.solve the numerator and
multiply the denominator
3.the denominator comes in the formula
4.convert it and your answer is there
Related Questions
Find the length of x
Answers
Answer:
20
Step-by-step explanation:
Since the triangles are similar then the sides must be proportional
10/6 = x/12 cross multiply expressions
6x = 120 divide both sides by 6
x = 20
Use the figure to find the radius.
Answers
If give 7 billions for 7 millions people. What is total?
Answers
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
If x=2 and y=1, what is the value of the expression 3(y - 1) + 2x² ? a. 8 b. 10 c. 16 d. 18
Answers
Answer:
8
Step-by-step explanation:
3(y - 1) + 2x²
Let x =2 and y =1
3(1-1)+2 (2)^2
3(0) +2(4)
0+8
SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
Answers
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answers
Answer:
Width: 160
Length: 80
Step-by-step explanation:
Width = 2x and length = x
X + 0.5x + 2x - 0.4x = 248
3.1x = 248
X = 248/3.1
X = 80
Width = (2)(80) and length = 80
7x+2y=19
7x+8y=13
Please solve it by Simultaneous method
Answers
Answer:
y=-1
x=3
Step-by-step explanation:
7x+2y=19-----(1)
7x+8y=13------(2)
(1)-(2)
(7x+2y)-(7x+8y)=19-13
7x+2y-7x-8y=6
+2y-8y=6
-6y=6
y=-1
by substitute in (1)
7x+2*(-1)=19
7x-2=19
7x=19+2
7x=21
x=21/3
x=3
Which type of transformation is this?
Answers
The type of transformation in this situation is refelction on the x-axis.
It cannot possibly be translated or rotated around the origin.
Hope this helps!
Have a wonderful day!
If 2 fligs make a flog and 3 flogs make a flug, how many fligs in 12 flugs?
Answers
Answer:
There are 72 fligs in 12 flugs
WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold
Answers
Answer:
General admissions sold: 880
Reserved seating sold: 256
Step-by-step explanation:
Set up equation:
Variable x = people who bought general admission
Variable y = people who bought reserved seating
x + y = 1136
5x + 7y = 6192
Isolate a variable in any equation:
Y = 1136 - x
Substitute the value of the variable in the other equation:
5x + 7(1136 - x) = 6192
5x + 7952 - 7x = 6192
-2x + 7952 = 6192
-2x = -1760
x = 880
Substitute the value of x in any equation:
880 + y = 1136
y = 256
Check your work:
880 + 256 = 1136
1136 = 1136
Correct!
5(880) + 7(256) = 6192
4400 + 1792 = 6192
6192 = 6192
Correct!
Simplify x + 6.2 + 8.5.
6.2x + 8.5
x + 14.7
14.7x
Answers
Answer:
x + 14.7
Step-by-step explanation:
x + 6.2 + 8.5.
Combine like terms
x + 14.7
________ Or x + 14.7
10
Tìm các chữ số a, b , c biết a/-5=b/-7=c/2 và a-b+c=-28
Answers
Answer:
a=35,b=49,c=-14
Step-by-step explanation:
[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]
5a + 18 < −27 pre algibra
Answers
Answer:
X < -9
Step-by-step explanation:
5a +18 < -27
5a < -27 -18
5a < - 45
5a/5 < - 45/5
a < - 9
Answred by Gauthmath
Answer: -9
Step-by-step explanation:
5a+18 < -27
5a< -27-18
5a<-45
a< -45/5
a< -9
4 glue sticks cost $7.76.
Which equation would help determine the cost of 13 glue sticks?
Answers
Answer:
price = 7.76/4 * 13
Step-by-step explanation:
Divide $7.76 by 4 to find the price of one glue stick.
Then multiply that by 13.
price = 7.76/4 * 13
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
Answers
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
For more information on this visit
https://brainly.com/question/24131141?referrer=searchResults
Someone help please With geometry
Answers
Answer:
9
Step-by-step explanation:
RT = ST + RS
RT = x + 5, ST = 4x - 9, RS = x - 2
x + 5 = 4x - 9 + x - 2
Combine like terms
x + 5 = 5x - 11
Add 11 to both sides
x + 16 = 5x
Subtract x from both sides
16 = 4x
Divide both sides by 4
4 = x
Find RT
RT = x + 5
x = 4
RT = 4 + 5
RT = 9
Answer:
RT = 9
Step-by-step explanation:
R x - 2 S 4x - 9 T
+-------------------------------+--------------------------+
x + 5
RT = RS + ST
x + 5 = x - 2 + 4x - 9
x + 5 = 5x - 11
-4x = -16
x = 4
RT = x + 5
RT = 4 + 5
RT = 9
I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!
Answers
100 degrees
Step-by-step explanation:
measure of FHD = 65 + 35
measure of FHD = 100
Basically count/add up the total amount of degrees that are include in the angle <FHD.
-- (central angles)
So, 35 + 65 = 100 degrees
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answers
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49
Answers
What is the sum of the geometric series below?
3+1+1/3+1/9+1/27
Answers
Answer:
The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.
Step-by-step explanation:
Answer:
Step-by-step explanation:
r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3
a =term 1 = 3
n = 5
[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]
[tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]
need help asap today by 5
Answers
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.
Solve the equation for x and y
Answers
Answer:
Step-by-step explanation:
15x + 6y = 0
4x - 6y = -38
19x = -38
x = -2
2(-2) - 3y = -19
-4 - 3y = -19
-3y = -15
y = 5
(-2, 5)
The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP
Answers
Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?
Answers
You get a pie chart to do percentages just so you dont cheat you still can do work y'know
P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode
Answers
Answer:
range
Step-by-step explanation:
The difference between the largest and smallest value in a data set is the range
Answer:
Range
Step-by-step explanation:
I hope this will help you buddy
Evaluate 4(3 - 1)^2..
Answers
Answer:
16
Step-by-step explanation:
4(3 - 1)^2
~Simplify using PEMDAS
4(2)^2
4(4)
16
Best of Luck!
For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22
Answers
Step-by-step explanation:
6a.
[tex] - 5 = - 3 + a[/tex]
[tex] - 2 = a[/tex]
6b.
[tex]3c + 2 = - 22[/tex]
[tex]3c = - 24[/tex]
[tex]c = - 8[/tex]
Difference of the square of (x+6)(x+4)
Answers
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24
I need help can someone help me out
Answers
Answer:
C' (-1,-2)
V' (-2,2)
N' (2,0)
Answered by GAUTHMATH
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answers
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
