Answers
[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Related Questions
What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9
Answers
Answer:
-(10)^-1 = A. -1/10
y^-5/x^-3 for x = 2 and y = -4. C. -1/128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation
What is the number written in standard notation 5.71 x 10^-3? D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3
What is the simplified form of the expression (m^7) ^2? D. m^14
What is the simplified form of the expression t^8 (t^10) ^0? C. t^8
What is the simplified form of the expression (3q^2) ^4?
D. 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.
Answers
Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.
Section Outcomes Blue 22 Yellow 32 Red 46 Total 100The total number of outcome is 100. The total number of favorable outcome to land blue is 22.
Thus, the estimated probability of the spinner landing on blue has to be found out is,
[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]
Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
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Kelley has 18 hours of work to do on her science fair project. She has 2 weeks to complete her project. How many hours does she need to work on her project each week to complete it on time?
Answers
Answer:
9
Step-by-step explanation:
Brainly patrol deleted my answer and i have no idea why but-
She has 2 weeks, so 18/2 is 9. 9 hours each week
Which phrase describes the linear relationship between the values of x and y shown in the table? A. y is 4 more than x B. y is 6 more than x C. y is 3 times x D. x is 3 times y
Answers
The linear relationship on the table has a constant slope
The linear relationship is (c) y is 3 times x
How to determine the linear relationship?The table of values is given as:
x l y
3 l 9
0 l 0
For both x and y values on the table, we have:
y = 3x
i.e.
3 * 3 = 9 and 3 * 0 = 0
This means that the linear relationship is (c) y is 3 times x
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Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS
Answers
Answer: They both will get 2 pizzas
Step-by-step explanation: 4 divided by 2
translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answers
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
7. Mattie ran across a circular part. The
circumference of the park is 92.31 feet.
How far did Mattie run?
Answers
Answer:
29.39
Step-by-step explanation:
So, the formula for circumference is 2(3.14)r.
If the question is looking for the diameter,
You don't have to include the r, you can just do d(3.14)=92.31
You can divide 92.31 by 3.14 and you get 29.39
7.3 reteaching with practice 415-420
Answers
South america and africa are drifting apart at a rate of 3.5 cm each year. how far apart will they be in 5,000,000 years
Answers
Answer:
17,500,000 cm.
Step-by-step explanation:
3.5cm(5,000,000 years) = 17,500,000
The perimeter of a rhombus is 84 inches. one
diagonal is 12 inches. find the area of the
rhombus. round your answer to the nearest
hundredth if necessary.
Answers
Answer: 241.5 square inches
Step-by-step explanation:
1+1=? My teacher really wants to test my knowledge, so someone confirm this question for me
Answers
Answer:
This is a pretty tricky question but if I'm correct it might be 2
PLS HELP ME I WiLL MARK THE BRAINLIEST
Answers
Answer:
look at analysis
Step-by-step explanation:
1. 152
2. 200
3. 10857
4. 123.4
5. 1848
dialations he said she said answer key
Answers
Answer: What?
Step-by-step explanation:
I need Help Please, I will give brainliest!
Answers
Answer: You do I-ready welp I can help you
Step-by-step explanation:
I think it is 1 whole
PLEASE ANSWER THIS QUICKLY!
Consider the circle shown.
1. What is the length of the minor arc DE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
2. What is the length of the major arc DGE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
Answers
Answer:
minor arc DE: (23/9)π
Major arc DGE:(49/9)π
Step-by-step explanation:
This is a simple problem.
First solve the circumference of the circle: 2π (4).
then use the length formula
L=(x*c)/360
and then plug in, so first we use 115 as x(which is degrees) to find de
so
L = (115* 2π (4))/360
and you will get (23/9)π
To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.
Hope this helps and im correct!
Please help
Select all of the non-real complex numbers in the given table.
Answers
Answer:
All the expressions that have a negative in the radical
(Boxes 2, 3 5, and 6)
Step-by-step explanation:
You can't take the square root of a negative number. When you square a number, the product will always be positive.
Hope this helps!
Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.
Answers
Answer:
Each costs $2.50
Step-by-step explanation:
Given
Cost of 3 pretzels and 4 drinks = $17.50p = dSolving
3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50⇒ p = $2.50a. What is 50% of R1,00?
Answers
Answer:
1000÷50%=2000
Step-by-step explanation:
hope it helps
The required simplified value of R is 2000, as of the given percentage.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000
Thus, the required value of R is given as 2000.
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factor each completely
m^2 + m - 90
Answers
Answer:
(m - 9) (m + 10)
Step-by-step explanation:
m² - 9m + 10m - 90
(m² - 9m) + (10m - 90)
m(m - 9) + 10 (m - 9)
Final answer;
(m - 9) (m + 10)
Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answers
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
Find the slope of the line through the points (3,-4) and(-5,2)
Answers
Use the slope formula:-
[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values:-
[tex]\displaystyle\frac{2-(-4)}{-5-3}[/tex]
[tex]\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}[/tex]
Reduce the fraction by dividing the top & bottom by 2:-
[tex]-\displaystyle\frac{3}{4}[/tex]
[tex]\uparrow\sf{Slope}[/tex]note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?
Answers
Answer:
well if im wrong then sorry but i think its 11 !!
Step-by-step explanation:
The possible length of the third side should be greater than 11.
What is triangle?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.
Given that the lengths of two sides of a triangle are 4 inches and 7 inches.
We need to find the possible length of the third side,
So, according to the triangle inequality theorem,
For any given triangle, the sum of two sides of a triangle is always greater than the third side.
So, the sum of two sides = 4 + 7 = 11
Hence the possible length of the third side should be greater than 11.
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30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
Answers
My math teacher did it the same way so I would go with your teacher's way
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
The trapezoids have a height of 2 inches and bases that measure 2 inches and 3 inches.
The rhombuses have diagonals that measure 1 inch and 4 inches.
Answers
The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
How to find the area of a trapezoid and rhombus?The given pattern consists of rhombus and trapezoids
The formula for calculating the area of rhombus is expressed as:
A = pq/2
Area of trapezoid = 0.5(a+b)h
Given the following
height = 2in
a = 2in
b = 3in
Ara of rhombus = 1(4)/2 = 2 square inches
Area of the trapezoid = 0.5(2+3) * 2
Area of the trapezoid = 5 square inches
Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
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Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 0.8
Step-by-step explanation:
For this problem we will be using trigonometry :
35 Points Mark Brainliest Help
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's write the equation of line in slope point form ~
[tex]\qquad \sf \dashrightarrow \:y - y1 = m(x - x1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3(x -1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3x - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3x -1[/tex]
Now, let's use this equation of line to plot two points ~
when x = 0, y = (3 × 0) - 1 = - 1 when x = -1, y = (3 × -1) -1 = -4Now, plot these points on graph ~
(0 , -1) and (-1, -4)Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answers
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answers
Answer:
160feet
Step-by-step explanation:
5280 divided by the number of posts
count in mile= 33 posts.
to find:the distance between the posts.
solution:1 mile= 5280ft
distance= 5280/33
=160ft
so the distance between the posts are 160ft.
Look at attachment below please help
100 POINTS AND BRAINLYIEST
Answers
Answer:
x = 28 unitsy = 14 unitsStep-by-step explanation:
Given is 30 x 60 x 90 right triangle
The side ratios of this triangle is
y : 14√3 : x = 1 : √3 : 2Find the value of x and y using this ratio
y = 14√3/√3 = 14x = 2y = 2*14 = 28Let's find
sin60=14√3/x√3/2=14√3/xx=14×2x=28unitsAnd
tan60=14√3/y√3=14√3/yy=14unitsfind the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answers
Answer:
option 4
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
BC² + AC² = AB² , that is
a² + 48² = 60²
a² + 2304 = 3600 ( subtract 2304 from both sides )
a² = 1296 ( take square root of both sides )
a = [tex]\sqrt{1296}[/tex] = 36
Answer:
[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]
