sin A + cos A = m -- equation (1)
sec A + Cosec A = n -- equation (2).
Find:value of n(m+1)(m-1)
Solution:We have to find:
n(m + 1)(m - 1)
using (a + b)(a - b) = a² - b² we get,
⟹ n (m² - 1²)
⟹ m²n - n
Putting the values from equations (1) & (2) we get,
⟹ (sin A + cos A)² * (sec A + Cosec A) -
(sec A + Cosec A)
(a + b)² = a² + b² + 2ab
⟹ (sin² A + cos² A + 2sin A Cos A ) * (sec A + Cosec A) - sec A - Cosec A
using the identity sin² A + cos² A = 1 we get,
⟹ ( 1 + 2 sin A cos A ) * (sec A + Cosec A) - sec A - Cosec A
⟹ 1(sec A + Cosec A) + 2sin A cos A(sec A + Cosec A) - sec A - Cosec A
⟹ sec A + Cosec A + 2 sin A * cos A * sec A + 2 sin A cos A Cosec A - sec A - Cosec A
using sin A * Cosec A = 1 & cos A * sec A = 1 we get,
( sec A + Cosec A & - sec A - Cosec A are being cancelled )
⟹ 2 sin A + 2 cos A
⟹ 2 (sin A + cos A)
Putting the value sin A + cos A from equation (1) we get,
⟹ 2m
∴ n (m + 1)(m - 1) = 2m.
I hope it will help you.
Regards.
Step-by-step explanation:
m=sinθ+cosθ⟹m
2
=sin
2
θ+cos
2
θ+2sinθcosθ=1+2sinθcosθ
⟹sinθcosθ=
2
m
2
−1
n=secθ+cosecθ=
sinθcosθ
sinθ+cosθ
=
2
m
2
−1
m
⟹n(m
2
−1)=2m⟹n(m+1)(m−1)=2m
I need help please ?
Answer:
4
Step-by-step explanation:
Answer:
The answer is 4
Are these two quantities inversely proportional? a.) The time it takes to drive 100 miles and the average driving speed b.) The lengths of sides of a rectangle if the perimeter is fixed c.) The lengths of sides of a rectangle if the are is fixed
Answer:
A, B & C are inversely proportional.
Step-by-step explanation:
For two quantities like x and y to be inversely proportional, they are to be written as;
y ∝ 1/x
This means that if x increases, then y decreases and if x decreases, then y increases.
A) The time it takes to drive 100 miles and the average driving speed.
Now, formula for time in motion is;
Time = Distance/speed
Let's denote time as t and speed as v.
Thus;
t = 100/v
From this relationship, it's clear that when v increases, then t decreases and vice versa. Thus it is inversely proportional.
B) The lengths of sides of a rectangle if the perimeter is fixed.
Perimeter of a rectangle is given as;
P = 2(L + W)
Where L is length and W is width.
Now, if the perimeter is fixed, it means an increase in the length will lead to a decrease in the width and vice versa. Thus, it is inversely proportional
C) The lengths of sides of a rectangle if the area is fixed.
If the sides are x & y.
Then;
A = xy
A/x = y
This means that;
1/x ∝ y.
Thus, the sides will be inversely proportional.
Divided 2/7 divided by 1/3
The answer is 6/7........
Answer:
[tex]\frac{6}{7}[/tex]
Step-by-step explanation:
cross multiply
2 x 3 = 6
7 x 1 = 7
Please help which one
Answer:
the answer is c
there you go bud
simplify the equation and tell whether the equation has one solution, no solution, of infinitely many solutions. 9(x+5) = 20+9x+25
Answer:
Infinite Solution
Step-by-step explanation:
no matter what you put for x you would still get 9x+45=9x+45 if you put x=8 it would equal the same on both sides
The system of equations 9(x + 5) = 20 + 9x + 25 has infiinitely many solutions.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, 9(x + 5) = 20 + 9x + 25.
9x + 45 = 20 + 9x + 25.
9x + 45 = 9x + 45.
So, They are basically the same straight lines coinciding with each other and have infinitely many solutions.
learn more about the system of equations here :
https://brainly.com/question/12895249
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which statement best describes the zeros of the function
Answer: The answer is A.
Write an equation of the line that passes through the given points (-2, -6) and (1, 2) find x and y intercept
Answer:
Equation: y = 8/3x - 2/3
y-intercept: -2/3
x-intercept: 1/4
Hope this helps and have a great day :)
And please mark me brainliest if you can :)
What are the factors of 85?
Answer:
1,5,17,85,
Step-by-step explanation:
The stock of Company A lost 2% today to $114.17 .What was the opening price of the stock in the beginning of the day?
Answer:
$116.50
Step-by-step explanation:
.98x=114.17
x=$116.50
A.y=-2/3x-2
B.2/3x-2
C.3/2x+3
D.y=-3/2x+3
Answer:
a
Step-by-step explanation:
pls help i get part a but i just don’t get part b and I have tried so many different answers
easy question so yall can get points or whatever....
what is 2+2
Answer:
4
Step-by-step explanation:
if you were to hold 2 fingers up and 2 more fingers you will get a sum of 4
Answer:
2+2=4
Step-by-step explanation:
1 +1=2
1 +1=2
2+2=4
yay
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Write an expression to represent this scenario where r represents the number of rides.
Answer:
y=1.4r+8.00
Step-by-step explanation:
1/8 divided by 3 plz help right now
Answer:
0.375 :) hope this helps btw use desmos to answer questions like that it will help i promise:)))) btw may i have brainly?
Step-by-step explanation:
A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
.
a.
Equipment rental and leasing
b.
Residential care
c.
Computer and data processing
d.
None of these
Please select the best answer from the choices provided
A
B
C
D
Answer:
c. computer
Step-by-step explanation:
The best answer is Computer and data processing.
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given:
health services, 57;
personnel supply services, 49;
warehousing and storage, 45;
water and sanitation, 45;
computer and data processing, 86;
management and public relations, 42;
cable television services, 51;
residential care, 64;
business services, 43;
equipment rental and leasing, 42.
So, according to the given data the highest record is given by computer and data processing.
hence, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing
Learn more about data here:
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please help with my geometry
Answer:
add
80+25=180
and u will get your answer
Bonds worth $1,000 issued by the Dowc Beverage Co. are selling at 91.760. How much would you have to pay for seven such bonds?
a.
$764.23
b.
$7,642.32
c.
$7,000.00
d.
$6,423.20
Answer:
D. $6,423.20
Step-by-step explanation:
You have to pay $6,423.20 for seven such bonds.
Answer:
d
Step-by-step explanation:
Suppose that in a box, there are a brush, marker, and pencil. In another box, there are a calculator, marker, ribbon, and brush. What items are in either box, or in both boxes?
Please help me with this question on the screen
Answer:
D
Step-by-step explanation:
Thats the order from least to greatest
Answer:
D ) 1/3 , 3/8 , 2/5 , 3/7Step-by-step explanation:
1/3 = 0.33 …
3/8 = 0.375
2/5 = 0.4
3/7 = 0.428571428571 …
Hope this helps! <3
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.97. A22.8-ounce bottle costs $4.97. What's the price for each size? Which size is the better buy on the unit price?
Answer:
2.70 maybe\
Step-by-step explanation:
Jessie has a board that is 8 feet long how many 1/4 foot sections can she cut from this board
Answer:
2.
Step-by-step explanation:
Divide 8 by 1 over 4. The line in a fraction represents the division line. 1/4 is 0.25, so you do 0.25 x 8. Hope this helps!
What is an equation of the line that passes through the points (8, -8) and (1,6)?
Put your answer in fully reduced form.
Answer:
Step-by-step explanation:
P1 = ( 8 , -8 ) = ( X1, Y1 )
P2 = (1,6 ) = (X2, Y2 )
slope = M= (Y2-Y1) / (X2-X1)
M = (6 - (-8) ) / (1-8)
M = 6+8 / -7
M = 14 / -7
M= -2
form of slope intercept equation ⇒ y = Mx + b
plug in one of our points , either works.
-8 = -2(8) + b
-8 = -16 +b
8= b
sooo
y = -2x + 8 is the answer
y = -2X+8
A bag of 6 apples costs $1.35 at Sam's Orchard.
a. At this same rate, how much would 20 apples cost?
b. How many apples could you buy for $4.95?
c. What is the unit cost per apple?
Answer:
A. 20 apples cost 4.50
B. with 4.95 you can buy 22 apples
C. each apple is 0.22 cents
hopefully its right
Answer:
A. 20 apples cost 4.50
B. with 4.95 you can buy 22 apples
C. each apple is 0.22 Cents
Step-by-step explanation:
Help me please? I don’t really get it TT
First, you have to move the decimal point before you divide like normally. You need to move it so that the left number is a whole number.
So, 6.39/0.9 would turn into 63.9/9.
12.75/2.5 would turn into 127.5/25.
You just move the decimal how ever many times to the right to make it a whole number. In this case, it is 1 decimal place.
Sally found a wallet while walking down the street the other day and it contained 11 bills in total. The wallet had only $5 bills, $10 bills and $20 bills in it. The total value of all the bills was 115, and the total of the $5 and $10 bills was $75. Define the variables using xyz.
Answer:
x=3
y=6
z=2
Z is the number of $20 bill , y is the number of $ 10 bill and x is the number of $ 5bill
Step-by-step explanation:
Let the number of $5 bills be x, number of$10 bills bey and number of $20 bills be z in it.
Then
5x+ 10y+ 20z= 115------A
5x+10y= 75------B
Putting the values from A into B
75+ 20z= 115
20 z= 115-75
20z =40
z= 40/20 = 2
There were 2 bills of $ 20.
Now we are left with 9 bills which are of $5 and $10
so
x+y=9
or x= 9-y------C
Putting C in B
5(9-y) + 10y = 75
45-5y+10y= 75
45+5y= 75
5y= 75-45
5y= 30
y= 6
So the number of $10 bills are 6.
And the number of $5 bills are 3
What can you tell about the mean of each
distribution?
The average cost of a dog's annual visit is about $76.10 more at A New Leash
on Life Animal Clinic than the average cost of a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $76.10 less at A New Leash
on Life Animal Clinic than the average cost for a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $19.35 more at A New Leash
on Life Animal Clinic than the average cost of a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $19.35 less at A New Leash
on Life Animal Clinic than the average cost for a dog's annual visit at No Ruff
Stuff Animal Hospital.
Answer: 76.10 more at A New Leash on life Animal Clinic than the average cost of a dog annal visit at No Ruff Stuff Animal hospital
Using Mean And Mean Absolute Deviation to Compare Data Quiz Level G
What value of w is a solution to this equation?
5w = 40
Answer:
8
Step-by-step explanation:
[tex]\frac{5w}{5} \frac{40}{5}[/tex]=8
what is the vertex of the graph function y=4x^2+8x-2
Answer:
vertex = (-1, -6)
Step-by-step explanation:
The function you gave is in the Standard Form : y = aX^2 + bX + c.
So you use the equation x = -b/ 2a to solve for the x coordinate of your vertex.
Based on your question, a =4, b =8 and c = -2.
So you plug that in and get x = -8/2(4). Thus, x value for the vertex is -1.
Now you plug -1 into your original equation to find your y value.
y = 4 (-1)^2 + 8 (-1) -2
So y = -6. Thus, your vertex is at pt (-1, -6)
Cost of an MP3 player: $59.95 Markup: 9%
Uhh please help this is due in a few hours
f(4c)=8-5x
Answer:
x=8/5-4/5fc
Step-by-step explanation:
fx4c=8-5x
4fc=8-5x
5x=8-4fc
x=8/5-4/5fc
