Given that
Sin θ = a/b
LHS = Sec θ + Tan θ
⇛(1/Cos θ) + (Sin θ/ Cos θ)
⇛(1+Sin θ)/Cos θ
We know that
Sin² A + Cos² A = 1
⇛Cos² A = 1-Sin² A
⇛Cos A =√(1-Sin² A)
LHS = (1+Sin θ)/√(1- Sin² θ)
⇛ LHS = {1+(a/b)}/√{1-(a/b)²}
= {(b+a)/b}/√(1-(a²/b²))
= {(b+a)/b}/√{(b²-a²)/b²}
= {(b+a)/b}/√{(b²-a²)/b}
= (b+a)/√(b²-a²)
= √{(b+a)(b+a)/(b²-a²)}
⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}
Now, (x+y)(x-y) = x²-y²
Where ,
x = b and y = aOn cancelling (b+a) then
⇛LHS = √{(b+a)/(b-a)}
⇛RHS
⇛ LHS = RHS
Sec θ + Tan θ = √{(b+a)/(b-a)}
Hence, Proved.
Answer: If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.
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Sec x -tan x sin x =1/secx Help me prove it..
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The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:
[tex]x-3[/tex] by [tex]2x-5[/tex] units
Step-by-step explanation:
Use the slide-and-divide method to factor the polynomial:
[tex]2x^2-11x+15[/tex]
[tex]x^2-11x+30[/tex]
[tex](x-6)(x-5)[/tex]
[tex](x-3)(2x-5)[/tex]
Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units
Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence
Answer:
Each shelf can hold 20 boxes of cereal.
Step-by-step explanation:
Start with 80 boxes of cereal: (80)
There are 4 shelves for each box of cereal: (x/4)
Thus, we get the expression: 80/4=
(You may want to simplify this; giving you the answer of 20.)
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]
===============================================
Explanation:
Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).
For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)
-1*2.5 = -2.52*2.5 = 5This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.
Answer:
i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)
Step-by-step explanation:
you just take the original coordinates and multiply them by 2.5
3* what =1 because I'm genuinely unsure
Answer:
0.3 recurring so 0.33333333333333333333333333333333333333
and....
__________________________________________________________
How to Overcome Insecurity
Step 1
The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.
Step 2
In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.
Step 3
People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.
Step 4
In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.
Step 5
The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.
Hope it help and if it did please give brainliest
Stay safe and healthy
Thank You
4781/32 without a decimal
Answer:
149(13/32)
Step-by-step explanation:
4781/32 and then take the remainder to make it an improper fraction
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?
Answer:
Mr. jones
Step-by-step explanation:
6/7 is 85.71% which is greater than 83%.
Which function has a greater rate of change?
Answer:
Function A
Step-by-step explanation:
In function A as x increases by 1, y increases by 5.
In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.
Rate of change of 5 is greater than a rate of change of -4.5.
5 x (3+H) = 15+45. What is H?
Answer:
9
Step-by-step explanation:
5 x 3 = 15 and 5 x H = 45
45 / 5 = 9
-1083 +(-3974) what is ans
Answer: -5057 if im wrong let me know
Answer:
-5057
Step-by-step explanation:
Simplify the expression:
-1083 + 3974
-1083 - 3974
-5057
Trigonometry I need help please
Answer:
10.7°
Step-by-step explanation:
SOH CAH TOA
Tan(BCA) = x/y
= 4/21
BCA= Tan`¹(4/21)
= 10.7856
to 3SF = 10.7°
40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5
Answer:
f(2) = 2.5×2-10.5
=5-10.5
=-5.5
g(2) = 64(0.5×2)
= 64×1
=64
f(3)=2.5×3-10.5
=7.5-10.5
=-3
g(3)=64(0.5×3)
=64×1.5
=96
f(4)=2.5×4-10.5
=10-10.5
=-500
g(4)=64(0.5×4)
=64×2
=128
f(5)=2.5×5-10.5
=12.5-10.5
=2
g(5)=64(0.5×5)
=64×2.5
=150
I think it is the processs It will help you
Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.
Answer is below in the picture:-
(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')
I hope it helps.
It is proved that the ray BC is the angle bisector of angle ABA'.
What are angle bisectors?Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.
Therefore, <A'B'C' = <ABC
By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Hence, the ray BC is the angle, bisector of angle ABA'.
Learn more about reflection here;
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Which point represents the outlier
Answer:An outlier is any data point that falls above the 3rd quartile and below the first quartile. The inter-quartile range is and . The lower bound would be and the upper bound would be . The only possible answer outside of this range is .
Step-by-step explanation:
Answer: Select the correct answer.
Which point represents the outlier?
(3, 13)
Step-by-step explanation:
A. (2, 3)
B. (4, 5)
C. (3, 13)
D. (8, 9)
Which is an equation of the line through (0,0) and (-3,-7)?
O A. y=-7x
O B. y= 2
O C. y = 2
O D. y=-3x
Answer:
y=7/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-0)/(-3-0)
m=-7/-3
m=7/3
y-y1=m(x-x1)
y-0=7/3(x-0)
y=7/3(x)
y=7/3x
Equation of the line through (0,0) and (-3,-7) is y=7/3x
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the equation of the line through (0,0) and (-3,-7)
m=-7/-3=7/3
Now let us find the y intercept
-7=7/3(-3)+b
b=0
So the equation is y=7/3x
Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x
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John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?
Answer: 11/15 hours
Step-by-step explanation:
Find LCD (lowest common denominator)
1/3=5/15
2/5=6/15
6/15+5/15=11/15 hours or 44 minutes
280 is 72% of what number?
Answer:
389
Step-by-step explanation:
MARK BRAINLIEST PLEASE
find three solutions for 9x - 2y = 18
Answer:
[tex](x,y) = \left(5,\dfrac{27}2 \right), \left(0,-9), \left(9, -\dfrac 92 \right)[/tex]
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzz
Answer:
ang hirap naman plss answee
Giving 100 points for this and Brainliest!!
Well I ask this question for 100 points: I don't know how much it will give you
Please give me an explanation, no link please:
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answer: Sarah found 10 shark teeth(3 + 7 = 10).
John found 5 shark teeth(10/2 = 5).
The total money they earned was $5 x 15 = $75.
Explanation;
Given that:
$5 per shark tooth15 total collected shark teeth5 x 15 = 75, therefore the total money Sarah and John earned was $75.
The few sentences to end Sarah's story are: Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Answer:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Step-by-step explanation:
Solve for q using both equation 1 and 2 question in pic
Answer:
p=1/8 q=3/4
Step-by-step explanation:
-2p+7q=5
-6p+35q=51/2
cancel out a variable
(-5)(-2p+7q=5)
-6p+35q=51/2
10p-35q=-25
-6p+35q=51/2 =
4p=1/2
4p/4=1/2 /4
p=1/8
substitute p=1/8 into one of the equation to find q
-2p+7q=5
-2(1/8)+7q=5
-1/4+7q=5
7q=5+1/4
7q=21/4
q= 21/4 /7
q=3/4
what is cubic spline?
Answer:
Here is your answer
Step-by-step explanation:
A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.
Answer:
A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
I need help with this!!!!
Answer:
246b
Step-by-step explanation: i did this
Un rectángulo tiene un perímetro de 64 pulgadas y una longitud de22 pulgadas . ¿Qué ecuación puedes resolver para encontrar el ancho?
Answer:
[(P - (2 x l)] / 2
Step-by-step explanation:
[Perimeter - ( 2 x length) ] / 2
(64 - 2x22)/2 = 10 pulgadas de ancho
Approximately what portion of the box is shaded blue?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer: 1/2
Expressions equivalent to 8 to the negative 2 power times 3 to the negative 2 power
Answer:
0.0007361111111111111+0.001;
0.0027361111111111111-0.001;
1.0017361111111111111-1;
Step-by-step explanation:
you calculate 8^(-2)*3^(-2) that gives you 0.0017361111111111111 and then you add 1 anywhere you want and then say -1 where you put that +1 and that's all
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
given the table below which function shos an exponential function
table
x f(x) g(x) h(x)
1 64 65 5
2 32 54 7
3 16 43 10
4 8 32 14
A f(x)
B g(x)
C h (x)
D none of the above
Find the area of the figure. (Sides meet at right angles.)
Answer:
51
Step-by-step explanation:
if there isn't such an answer tell me so that I can try again.goodbye
helpp ☹️☹️ plsplspsospsl
Answer:
BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING
Step-by-step explanation:
Help please!
Solve for x
Answer:
x=5
Step-by-step explanation:
3x+1
If your kinda a math nerd you will understand this one
Answer:
If you equal it to zero (3x+1=0) it will be x= 1/3
Step-by-step explanation:
Subract the 1 over to the 0 then divide the 3 over.