How to solve this ? I am not sure pls if you know the answer answer it I really neeed it for marks

How To Solve This ? I Am Not Sure Pls If You Know The Answer Answer It I Really Neeed It For Marks

Answers

Answer 1

Answer:

L.S = R.S ⇒ Proved down

Step-by-step explanation:

Let us revise some rules in trigonometry

sin²α + cos²α = 1sin2α = 2 sin α cosαcscα = 1/sinα

To solve the question let us find the simplest form of the right side and the left side, then show that they are equal

L.S = csc2α + 1

By using the 3rd rule above

∴ L.S = [tex]\frac{1}{sin2\alpha}[/tex] + 1

→ Change 1 to [tex]\frac{sin2\alpha}{sin2\alpha}[/tex]

∴ L.S = [tex]\frac{1}{sin2\alpha}[/tex] + [tex]\frac{sin2\alpha}{sin2\alpha}[/tex]

→ The denominators are equal, then add the numerators

L.S = [tex]\frac{1+sin2\alpha}{sin2\alpha}[/tex]

R. S = [tex]\frac{(sin\alpha+cos\alpha)^{2} }{sin2\alpha}[/tex]

∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α

∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα

By using the 1st rule above, equate sin²α + cos²α by 1

∴ (sinα + cosα)² = 1 + 2 sinα cosα

By using the 2nd rule above, equate 2 sinα cosα by sin2α

∴ (sinα + cosα)² = 1 + sin2α

→ Substitute it in the R.S above

R. S = [tex]\frac{1+sin2\alpha}{sin2\alpha}[/tex]

L.S = R.S

∴ csc 2α + 1 = [tex]\frac{(sin\alpha+cos\alpha)^{2} }{sin2\alpha}[/tex]


Related Questions

The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.

Answers

Answer:

b

Step-by-step explanation:

Can someone help me with this problem?

Answers

Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6

solve for x using the image

Answers

Answer:

6

Step-by-step explanation:

By the segment addition postulate, LM+MN=LN.

[tex]x+3=2x-3 \\ \\ 3=x-3 \\ \\ x=6[/tex]

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the
park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the
distance she rides each evening?
a) 1.5+x=25
b)1.5+1.5+x=25
c)5(1.5+c)=25
d)5(1.5+1.5+x)=25

Answers

Answer:

5(1.5+1.5+x)=25

Imma beginer don't judge this is the answer i think

Each football costs the same amount, and each basketball costs the same amount. At the first store, the coach paid $110 for 5 footballs and 14 basketballs. At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs. What was the cost in dollars of each basketball?

Answers

Answer:

$6.25

Step-by-step explanation:

Each football costs the same amount, and each basketball costs the same amount.

Let the cost of:

Footballs = f

Basketballs = b

Hence, we have the following system of equations

At the first store, the coach paid $110 for 5 footballs and 14 basketballs.

5f + 14b = 110

At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.

10f + 6b = 82.50

What was the cost in dollars of each basketball?

5f + 14b = 110..... Equation 1

10f + 6b = 82.50.....Equation 2

We solve using Elimination method.

Multiply Equation 1 by 10 and Equation 2 by 5 to eliminate f

50f + 140b = 1100.... Equation 3

50f +30b = 412.5.......Equation 4

Subtract Equation 4 from Equation 3

110b = 687.5

b= 687.5/110

b = $6.25

Therefore, the cost of one basketball in dollars = $6.25

The measure of angle b is 3x degrees

Answers

Can we have more information on the question please?

Danielle's car wash took in $185 to help raise money for the drama club. Danielle needed to spend $32 for car wash supplies. How much profit did the car wash make?

Answers

Answer:

153 185-32 is 153 so there's your answer

will give brainliest if answered *correctly** picture attached

Which relationships have the same constant of proportionality between yyy and xxx as the following graph?


Choose 3 answers:

Choose 3 answers:


(Choice A)

A

y=0.25xy=0.25xy, equals, 0, point, 25, x


(Choice B)

B

y=8.2xy=8.2xy, equals, 8, point, 2, x


(Choice C)

C



(Choice D)

D

xxx yyy

333 121212

444 161616

555 202020


(Choice E)

E

xxx yyy

666 1.51.51, point, 5

777 1.751.751, point, 75

888 222

Answers

Answer:

A, C, E

Step-by-step explanation:

The required relation whose constant of proportionality matches with the constant of proportionality given in the graph.

Given that,
A curve is shown in the graph, it is to be determined that the constant of proportionality of the curve matches one of the curves given in the options.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Here,
Constant of proportionality  for the given function,

y/x = 2 / 8 = 0.25

Since the constant of proportionality of the functions mentioned in Option A, C and E matched with the given graph.

Thus, the required relation whose constant of proportionality matches the constant of proportionality is given in the graph.

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The coordinates of point T are ​(0​,5​). The midpoint of is ​(2​,-5​). Find the coordinates of point S.

Answers

The coordinates of point S is (4, -15)

How to find the coordinates of point S?

The given parameters are

T = (0, 5)

Midpoint = (2, -5)

The midpoint of a line is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

(2, -5) = 1/2 * (0 + x, 5 + y)

This gives

(4, -10) = (x, 5 + y)

Solve for x and y

So, we have

x = 4

5 + y = -10

This gives

x = 4

y = -15

Hence, the coordinates of point S is (4, -15)

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Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?​

Answers

Answer: q^3

Step-by-step explanation:

The required expression that is equivalent to the given expression is q³.

Given that,
To determine the expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined.

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,
Given expression,
[tex]= \frac{(q^4)^{-3}}{q^{-15}} \\= q^{15 - 12}\\=q^3[/tex]

Thus, the required expression that is equivalent to the given expression is q³.

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in each of the following figures p ll q. find the indicated vaules​

Answers

Answer:

you found the value of x, just put it in the equation

bro sombody help me i am extremly not smart
and bad at math, thank you

Answers

Answer:

sure wuts ur question? I GOT IT

4 LBS

What’s the question then I’ll help lol

How do I solve this question?

Answers

9514 1404 393

Answer:

  no, y does not vary directly with x

Step-by-step explanation:

If there is direct variation, the constant of variation can be found as ...

  k = y/x

Here, those ratios are ...

  y/x = 6/3 = 2

  y/x = 18/6 = 3

  y/x = 24/8 = 3

The ratio of y to x is NOT A CONSTANT, so there is no direct variation.

what is the slope of the line that contains the points (-1,2) and (2,2)

Answers

Answer:

the equation to find the slope is (y2-y1)/(x2-x1)

the points are (-1,2) and (2,2) so plug it in and you get

(2-2)/(2-(-1))

0/ (2+1)

0/3

whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.

Simplify the expression below.
2x – 4y + 6 + 3x – 9y – 4

Answers

Answer:

5x - 13y + 2

Step-by-step explanation:

Given: 2x – 4y + 6 + 3x – 9y – 4

Combine all like terms:

5x - 13y + 2

The solution of expression after simplification is,

⇒ 5x - 13y + 2

We have to given that,

An expression to simplify as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

Now, We can simplify the expression by combining the like terms as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

⇒ 2x + 3x - 4y - 9y + 6 - 4

⇒ 5x - 13y + 2

Therefore, The solution of expression after simplification is,

⇒ 5x - 13y + 2

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1 Ray is making a dessert by mixing honey and yogurt in the ratio of 2 to 13. How much yogurt and honey does he need to ma 600 grams of the dessert

Answers

Answer:

80 grams honey, 520 grams yogurt

What is the slope of the line?

As soon as possible please !!

Answers

Answer:

[tex]m=\frac{-8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 4)

Point (4, -4)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{-4-4}{4+1}[/tex]Subtract/Add:                                          [tex]m=\frac{-8}{5}[/tex]

Justify Step 4 of this Proof

Answers

Answer:

I believe it's SSS

Step-by-step explanation:

This is because all sides are congruent to each other.

Following the statements and proofs it’s by SSS.

A is the center of the circle, and the length of CD is 15 centimeters.

Name a segment that is a radius. How long is it?


AC: 7.5cm


CD: 7.5cm


CD: 15 cm


AC: 15cm

Answers

AC: 7.5cm because half of CD is 7.5 and since the middle of the circle is labeled A the radius would be AC:7.5cm.

The radius of the circle will be 7.5 cm. Then the correct option is A.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

If the chord is passing through the origin. Then the chord will be the maximum chord and the maximum chord is known as the diameter of the circle.

A is the center of the circle, and the length of the CD is 15 centimeters.

The length CD is the diameter of the circle.

The length of the radius is calculated as,

AC = d / 2

AC = 15 / 2

AC = 7.5 cm

The radius of the circle will be 7.5 cm. Then the correct option is A.

More about the circle link is given below.

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At the restaurant, the cost of the meal before tax was $40. The tax is 8.5%, and Sheri wants to leave at least an 18% tip. Explain how to approximate the total cost of the meal.

Answers

Solution :-

given that,

→ Cost of meal before tax = $ 40

and,

→ Tax = 8.5%

So,

→ Total tax paid = 8.5% of cost of meal = (40 * 8.5)/100 = $ 3.4

now,

→ Tip = 18% of cost of meal = (18 * 40)/100 = $ 7.2

then,

→ Total cost of the meal = Cost of meal before tax + Total tax paid + Tip = 40 + 3.4 + 7.2 = $50.6 ≈ $51 (Ans.)

Shortcut :-

→ Total cost of the meal = Cost of meal * (100% + 8.5% tax + 18% tip) = 40(1 + 0.085 + 0.18) = 40 * 1.265 = $50.6 ≈ $51 (Ans.)

Last week’s and this week’s daily high temperatures are shown in the table below.

High Temperatures for This Week and Last Week
High Temperatures
This Week (Degrees Fahrenheit)

65

73

73

74

73

75

71
High Temperatures
Last Week (Degrees Fahrenheit)

68

51

62

66

85

72

72

How much greater is this week’s median temperature than last week’s median temperature?
2 degrees
3 degrees
4 degrees
5 degrees

Answers

Answer:

5 degrees

Step-by-step explanation:

This week in order:

65, 71, 73, 73, 73, 74, 75 (Median= 73)

Last week in order:

51, 62, 66, 68, 72, 72, 85 (Median= 68)

73-68 is 5

Answer:

5 degrees

Step-by-step explanation:

The person, who is 5 feet tall, wants to calculate the height of the flagpole. Use proportions to solve the problem. Show your work.​

Answers

Answer:

15 ft

Step-by-step explanation:

using geometry, we can find that the triangles are proportional, so if 8:24::5:15. 24/8=3, so do 5×3

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

Circle

Step-by-step explanation:

[tex]x dx=-y dy \\ \\ \int x \text{ } dx=\int -y \text{ } dy \\ \\ \frac{x^2}{2}=-\frac{y^2}{2}+C \\ \\ x^2=-y^2+C \\ \\ x^2+y^2=C[/tex]

Which is the equation of a circle.

1
Select the correct answer.
A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet: Inches = 4:12)
OA. 0.45 feet
OB.
4.5 feet
9 feet
OD. 54 feet
Reset
Next
Oh

Answers

Answer:

B. 4.5

Step-by-step explanation:

108 divided by 2 = 54

54 feet into inches is 4.5

4 thumb drives and 1 compact disk have a
total capacity of 18 gigabytes. 3 compact
disks and 4 thumb drives have a total
capacity of 22 gigabytes. Find the capacity
of 1 thumb drive (x) and the capacity of 1
compact disk (y).

Answers

The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.

How to calculate the equation?

Let thumb drive = (x)

Let the capacity of 1 compact disk = (y).

Therefore, the appropriate equation will be:

4x + y = 18

4x + 3y = 22

Subtract the equations

2y = 4

y = 4/2

y = 2

The capacity of compact disc is 2 gigabytes.

Since 4x + y = 18

4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

The capacity of thumb drive disc is 4 gigabytes.

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BRAINLIEST BRAINLIEST
please answer thank you

Answers

Answer:

y + x = 7

Step-by-step explanation:

Standard form should be

y - 9 = -(x+2)

y = -x -2 +9

y + x = 7

Answer:

y + x = 7

Step-by-step explanation:

hope that helps :)

could you mark my answer as brainliest ? :)

T is the midpoint of segment SU. If ST= 17x and TU= 7x + 39 Find the value of x.

Answers

Answer:

[tex]\displaystyle x=\frac{39}{10}[/tex]

What is the midpoint?

The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.

Due to this, we can set the equations equal and solve for x.

Solve

First, set the equations equal to one another.

[tex]17x = 7x + 39[/tex]

Subtract 7x from both sides of the equation to combine like terms.

[tex]17x - 7x = 7x - 7x + 39[/tex]

[tex]10x =39[/tex]

Then, divide both sides of the equation by 10 to isolate the variable.

[tex]\displaystyle \frac{10x}{10} = \frac{39}{10}[/tex]

[tex]\displaystyle x=\frac{39}{10}[/tex]

Final Answer

[tex]\displaystyle \boxed{\bold{x=\frac{39}{10}}}[/tex]

How many feet are in 9 meters?
1 m = 3.3 ft


9 m = [?] ft​

Answers

9 x 3.3 ft = 29.7 feet

Answer:

your answer is 29.7 feet's

Step-by-step explanation:

1m = 3.3ft

9m = x ft

Cross multiply

x = 9 ×3.3 ft

x = 29.7 feet

or 29 feet

At the beginning of the 7th grade, Martin was 50 inches tall. At the beginning of his 8th grade year, Martin was 58 inches tall. What was his percent of change from his 7th grade year to his 8th grade year? (sorry I forgot to add the answer choices) Anyways here they are-
A-13%
B- 14%
C- 16%
D- 18%

Answers

C the e e e eee e ee

WILL GIVE BRAINLIEST

Answers

Answer:

e

Step-by-step explanation:

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