Johns snowmobile weighs 0.3 tons. Mikes snowmobile weighs 500 pounds. What is the difference in the weights of the two vehicles in pounds?”

Answers

Answer 1

Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.

what is proportionality ?

The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value.

When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.

given

2000 pounds make up a ton.

Snowmobile owned by John weighs 600 pounds or 0.3 tons.

The difference between Mike's snowmobile's 500 and 600 pound weights is 100 pounds.

= 600 - 500 = 100 pounds

Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.

To know more about proportionality visit:

https://brainly.com/question/29126727

#SPJ1


Related Questions

The dot plots show the ages of people at two different movies at a school movie night. Which data set seems to have a greater variability? (find the MAD scores)

Answers

Answer:

Step-by-step explanation:

BTS-2 has coordinates (-8,6) and the edge connecting vertices P and Q has the equation y = 4.
(b) Write down the coordinates of BTS-4.

Answers

a. Jason will receive the strongest signal from BTS-4 because he is located in the Voronoi cell of BTS-4.

b. The coordinates of BTS-4 are (−8,4).

How to explain the information

a. Jason will receive the strongest signal from BTS-4 because he is located in the Voronoi cell of BTS-4. A Voronoi cell is a region of space that is closer to a given point than any other point. In this case, the given point is BTS-4. The Voronoi diagram is a partitioning of the plane into Voronoi cells, one for each point.

b. The edge connecting vertices P and Q has the equation y=4, which means that it is a horizontal line that intersects the y-axis at 4. The coordinates of BTS-2 are (−8,6), which means that it is located 8 units to the left of the origin and 6 units above the origin. Therefore, BTS-4 must be located 8 units to the left of the origin and 4 units above the origin, which gives it the coordinates (−8,4).

Learn more about coordinate on

https://brainly.com/question/17206319

#SPJ1

Need an answer quick!!

What is the volume of the shape on the next page?

Answers

Answer:

6 in³

Step-by-step explanation:

volume = width X length X height

= 3 X 1 X 2

= 6 in³

A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W

Answers

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

How can the directional bearing of the boat be determined?

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

Learn more about bearing at:

https://brainly.com/question/19710752

#SPJ1

Elon sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time,

tt, in days, since Elon sent the email, and the total number of people who receive the email,

(

)
P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function:
P(t)=4⋅3t
Complete the following sentence about the daily rate of change in the number of people who receive the email.
Every day, the number of people who receive the email

by a factor of
.

Answers

Every day, the number of people who receive the email grows by a factor of 3.

What is an exponential function?

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.

Based on the information provided above, an exponential function for the total number of people who received the email is given by;

[tex]P(t) = 4(3)^t[/tex]

By comparison, we have the following parameters;

Initial value, a = 4.

Growth rate, b = 3.

In conclusion, the number of people who receive the email from Elon every day grow by a factor of 3.

Read more on exponential functions here: brainly.com/question/28246301

#SPJ1

100 Points! Geometry question. Photo attached. Determine whether the pair of triangles is similar. If so, write a similarity statement. If not, what would be sufficient to prove the triangles similar? Explain your reasoning. Please show as much work as possible. Thank you!

Answers

The pair of triangles shown can be seen to be similar by SAS.

What is similarity of triangles by SAS?

When comparing two triangles, one way to tell if they are similar is to apply the SAS (Side-Angle-Side) similarity criterion. This criterion states that two triangles are comparable if they have two pairs of corresponding sides in proportion and congruent included angles between those sides.

Triangles must have an equal ratio of their matching sides' lengths. The respective sides' included angles must be equivalent.

Learn more about SAS:https://brainly.com/question/30108160

#SPJ1

Simplify. witch answer would it be A, B, C, OR D

Answers

Answer:

the answer is C

Step-by-step explanation:

any negative power is the reciprocal

so m^(-2) = 1/m^2

and so on

1/n^(-3) = n^(3)

Find x pls hurry lots of points

Answers

The area of the triangle in the shaded region is derived to be 29.75 square inches.

How to solve for the area of the triangle

For any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;

Area of triangle = 1/2 × base × height

For the triangle in the shaded region;

base = 8.5 inches

height = 7 inches

area of the triangle = 1/2 × 8.5 in × 8.5 in

area of the triangle = (59.5/2) in²

area of the triangle = 29.75 in²

Therefore, the area of the triangle in the shaded region is derived to be 29.75 square inches.

Read more about area here:https://brainly.com/question/17335144

#SPJ1

The bottom part says how many student tickets where brought? Can anyone pls help me PLSS

Answers

255 number of adults and 355 number of students bought ticket.

Here,  we have,

Let the number of adults bought tickets are x and the number of students that bought tickets is (x + 100).

Since it is given that 100 more students brought tickets than adults.

Now, each adult ticket costs $5 and each student's ticket costs $3.5 and the total collected value of tickets is $2517.5.

So, 5x + 3.5(x + 100) = 2517.5

⇒ 8.5x + 350 = 2517.5

⇒ 8.5x = 2167.5

⇒ x = 255

So, 255 number of adults and (255 + 100) = 355 number of students bought ticket. (Answer)

To earn more on addition click:

brainly.com/question/29560851

#SPJ1

Identify the center and radius of a circle with equation (x-5)^2+(y+3)^2=25

Answers

The center and radius of the circle is (5, -3), and 5 respectively.

What is the center and radius of the circle?

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

Given the equation of the circle in the question:

( x - 5 )² + ( y + 3 )² = 25

To identify the center and the radius.

Comparing this equation ( x - 5 )² + ( y + 3 )² = 25 to the standard form of a circle equation, which is (x - h)² + (y - k)² = r², we can easily identify the center and radius of the circle.

( x - 5 )² + ( y + 3 )²

(x - h)² + (y - k)² = r²

The center of the circle is given by the values (h, k), which correspond to the opposite signs of the terms inside the parentheses.

In this case, the center of the circle is (5, -3), as we have (x - 5)² and (y + 3)².

The radius of the circle is the square root of the value on the right side of the equation.

In this case, the radius is √25, which simplifies to 5.

Learn more about equation of circle here: brainly.com/question/29288238

#SPJ1

PLEASE HELP!!!!!!
it’s a division equation

Answers

The answer is x + 1, because the numerator factored is (x+5)(x+1). Because of this, the x+5 on the denominator cancels out. This leaves the x+1, making it the answer.

Answer:

x+1

DOMAIN: x [tex]\neq[/tex] -5

Step-by-step explanation:

We can factor [tex]x^{2}[/tex]+6x+5 as (x+1)(x+5) since this expands to [tex]x^{2}[/tex]+5*x+1*x+5*1, which is [tex]x^{2}[/tex]+6x+5.

Now, we have:

[tex]\frac{(x+1)(x+5)}{(x+5)}[/tex]  

We can cancel out x+5, because this expression is the same as (x+1)*[tex]\frac{x+5}{x+5}[/tex], which is (x+1).

HOWEVER, the denominator cannot be equal to zero because that will make the expression undefined (you can't divide by zero). So, since x+5[tex]\neq[/tex]0, x[tex]\neq[/tex]-5.

Can someone please solve this for me

Answers

Answer:

1.3136363636363637

Step-by-step explanation:

Bc u times 17 times 17 devide by 220

An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction

Answers

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

What is the basic ratio of minutes of painting to minutes of instruction

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

Read more about ratio at

https://brainly.com/question/12024093

#SPJ1

Find the
approximate height difference between the birdhouse
and the tree house. Is it greater than or less than the
approximate difference in height between the swing
set and the tree house? Round each mixed number to
the nearest whole number.

HELP???

Answers

The approximate height difference between the birdhouse and the tree house is 3 ft.

It is less than the approximate difference in height between the swing set and the tree house.

How to find the approximate height difference between the birdhouse and the tree house?

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

We have:

height of birdhouse = 14[tex]\frac{9}{16}[/tex] ft

height of tree house = 11[tex]\frac{13}{16}[/tex] ft

Thus, the approximate height difference between the birdhouse and the tree house will be:

14[tex]\frac{9}{16}[/tex] ft - 11[tex]\frac{13}{16}[/tex]  = 2[tex]\frac{3}{4}[/tex] ft

                   = 2.75 ft

                  = 3 ft

To determine if it is greater than or less than the approximate difference in height between the swing set and the tree house, we have to find the approximate difference in height between the swing set and the tree house. That is:

height of swing set = 8[tex]\frac{1}{4}[/tex] ft

height of tree house = 11[tex]\frac{13}{16}[/tex] ft

difference = 11[tex]\frac{13}{16}[/tex] - 8[tex]\frac{1}{4}[/tex]

                    = 3[tex]\frac{1}{2}[/tex]

                    = 3.5

                    = 4 ft

Therefore, it is less than the approximate difference in height between the swing set and the tree house

Learn more about fraction on:

brainly.com/question/11562149

#SPJ9

Question one
Let F be a Boolean function defined by the following Boolean expression:
F = (¬A ∧ ¬B ∧ ¬C ∧ D) ∨ (¬A ∧ B ∧ C ∧ D) ∨ (A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ ¬B ∧ C ∧ D) ∨ (A ∧ ¬B ∧ ¬C ∧ ¬D)
Where A, B, C, and D are Boolean variables.
a) Construct a truth table for F.
b) Find the minimal sum-of-products form of F using Quine-McCluskey method.
c) Using Boolean algebra, simplify the Boolean expression of F and state the simplified Boolean expression in terms of the three variables A, B, and C.

Answers

Answer:

a) The truth table for F is as follows:

A B C D F

0 0 0 0 1

0 0 0 1 0

0 0 1 0 0

0 0 1 1 1

0 1 0 0 0

0 1 0 1 1

0 1 1 0 1

0 1 1 1 0

1 0 0 0 0

1 0 0 1 1

1 0 1 0 1

1 0 1 1 0

1 1 0 0 1

1 1 0 1 0

1 1 1 0 0

1 1 1 1 1

b) Using the Quine-McCluskey method, we can find the minimal sum-of-products form of F:

F = ¬A ∧ ¬B ∧ D ∨ ¬A ∧ C ∧ D ∨ A ∧ B ∧ ¬C ∧ D ∨ A ∧ ¬B ∧ C ∧ D

c) Using Boolean algebra, we can simplify the Boolean expression of F as follows:

F = (¬A ∧ ¬B ∧ D) ∨ (¬A ∧ C ∧ D) ∨ (A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ ¬B ∧ C ∧ D)

= (¬A ∧ (¬B ∧ D ∨ C ∧ D)) ∨ (A ∧ (B ∧ ¬C ∧ D ∨ ¬B ∧ C ∧ D))

= (¬A ∧ (¬B ∨ C) ∧ D) ∨ (A ∧ ((B ∧ ¬C) ∨ (¬B ∧ C)) ∧ D)

= (¬A ∧ ¬B ∧ C ∧ D) ∨ (¬A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ B ∧ C ∧ D) ∨ (A ∧ ¬B ∧ ¬C ∧ D)

Therefore, the simplified Boolean expression of F in terms of the three variables A, B, and C is:

F = (¬A ∧ ¬B ∧ C ∧ D) ∨ (¬A ∧ B ∧ ¬C ∧ D) ∨ (A ∧ B ∧ C ∧ D) ∨ (A ∧ ¬B ∧ ¬C ∧ D)

Step-by-step explanation:

What is the greatest common factor of 6, 34, and 2?

Answers

Answer:  2

Step-by-step explanation:

List the factors(numbers that multiply to make that number for each number

6: 1, 2, 3, 6

34: 1, 2, 16, 34

2: 1, 2

Whichever is the factor that is the greatest that they all have in common is your greatest common factor.

2

Please help me with solving for x

Answers

Step-by-step explanation:

For some side x, we are given two angles so let use law of sines

We don't know the angle opposite of the x side so we using the triangle interior property

[tex]120 + 51 + x = 180[/tex]

[tex]x = 9[/tex]

So the missing angle is 9.

The law of sines formula is that

[tex] \frac{a}{ \sin( \alpha ) } = \frac{b}{ \sin( \beta ) } [/tex]

where a and b are side lengths.

And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively

Let a be 25,

therefore alpha is 120

Let b be x,

therefore beta is 9.

[tex] \frac{25}{ \sin(120) } = \frac{x}{ \sin(9) } [/tex]

Solving for x.

[tex]25 \times \frac{ \sin(9) }{ \sin(120) } = x[/tex]

[tex]x = 4.51587[/tex]

Round if needed so our answer is

[tex]x = 4.5[/tex]

Solve the simultaneous equations using elimination method= x+2y-3z=0 3x+3y-z = 5 x-2y = 2z=1​

Answers

Answer:

[1;1;1]

Step-by-step explanation:

try this option; all the details are in the attachment.

start time:9:55
End time:?
Elapsed time:27 minutes

Answers

Answer: 10:22

Step-by-step explanation:

9:55 + :05 = 10:00

10:00+ :22 = 10:22

Determine the equation of the circle graphed below.
-12-11-10-9-8-7 -5-4-3-2
11098765432-
hadis
-2
-9
-10
-11
123456
8 9 10 11 12
(8,-2)

Answers

Answer:

(x - 3)² + (y + 4)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

we have the coordinates of the centre but require to find the radius r

the radius is the distance from the centre to a point on the circle.

using the distance formula to find r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, - 4 ) centre and (x₂, y₂ ) = (8, - 2) point on circle

r = [tex]\sqrt{(8-3)^2+(-2-(-4))^2}[/tex]

  = [tex]\sqrt{5^2+(-2+4)^2}[/tex]

  = [tex]\sqrt{25+2^2}[/tex]

  = [tex]\sqrt{25+4}[/tex]

  = [tex]\sqrt{29}[/tex]

then equation with centre (3, - 4 ) and r = [tex]\sqrt{29}[/tex] , is

(x - 3)² + (y - (- 4) )² = ([tex]\sqrt{29}[/tex] )² , that is

(x - 3)² + (y + 4)² = 29

Find the current balance for Jeff’s savings account if he had a balance of $396.80, made three $15 deposits, withdrew $125, and earned $1.04 interest.

Answers

The current balance for Jeff's savings account is $317.84.

To find the current balance for Jeff's savings account, we need to calculate the net effect of the deposits, withdrawals, and interest on his initial balance.

Initial balance: $396.80

Deposits: 3 × $15 = $45

Withdrawals: $125

Interest: $1.04

Adding the deposits and interest to the initial balance:

$396.80 + $45 + $1.04 = $442.84

Then, subtracting the withdrawal:

$442.84 - $125 = $317.84

Therefore, the current balance for Jeff's savings account is $317.84.

To learn more on Interest click:

https://brainly.com/question/30393144

#SPJ1

100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

The equation is verified, and we have shown that E_0 = cos⁴θ is equivalent to E_0 = E_0 (1/2 + cos2θ/2)².

We have,

To verify the equation

E_θ = E_0 cos^4θ = E_0 (1/2 + cos2θ/2)², we can expand the right-hand side and simplify it.

Starting with the right-hand side of the equation:

E_0 (1/2 + cos2θ/2)²

Expanding the square using the binomial expansion:

E_0 [(1/2)² + 2(1/2)(cos2θ/2) + (cos2θ/2)²]

Simplifying:

E_0 [1/4 + cos2θ + (cos2θ)²/4]

Combining the terms:

E_0 [1/4 + 4cos²θ/4 + (cos²θ)²/4]

Simplifying further:

E_0 [1/4 + 4cos²θ/4 + cos⁴θ/4]

Combining the terms again:

E_0 [1/4 + 4cos²θ/4 + cos⁴θ/4] = E_0 [1/4 + 4cos²θ/4 + cos⁴θ/4]

Simplifying the expression yields:

E_0 cos⁴θ = E_0 cos⁴θ

Therefore,

The equation is verified, and we have shown that E_0 = cos⁴θ is equivalent to E_0 = E_0 (1/2 + cos2θ/2)².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

will mark brainleist pls help me

Answers

GiveN:-Sides of Triangle = 100 , 46 and xTo FinD:-value of xSolutioN:-

we know that,

★ The sum of the angles in a triangle is always 180° ...

100° + 46° + x = 180° 146° + x = 180° x = 180°- 146° ➺ x = 34°

__________________________________

Thus, the Value of x is 34°.

Answer:

34°

Step-by-step explanation:

We know that,

Sum of three side of triangle is 180°

so,

100° + 46° + x = 180°

146° + x = 180°

x = 180° - 146°

x = 34°

[tex]\underline{\rule{190pt}{4pt}}[/tex]

A lady paid 20% deposit $1100 the cost of a bicycle. How much does she have to pay to complete the price

Answers

She has 880 left to pay.

prove that
(z^a/z^b)^c * (z^b/z^c)^a * (z^c/z^a)^b =1

Answers

Step-by-step explanation:

remember, when we multiply the same base, we add the exponents, when we divide the same base we subtract the exponents.

when we have exponent of exponent, we multiply the exponents.

so,

the expression is

(z^ac / z^bc) × (z^ab / z^ac) × (z^bc / z^ab) = 1

we have in there the commutative and associative properties of multiplication : the sequence of operands do not matter at all.

and therefore we have in there the terms :

z^ac / z^ac

z^bc / z^bc

z^ab / z^ab

all three are 1

and so the main expression is

1 × 1 × 1 = 1

which is true, of course, and therefore the original equation is true.

50 Points! Multiple choice algebra question. Thank you!

Answers

The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ

How to determine the expression that is equivalent to the trigonometry ratio

From the question, we have the following parameters that can be used in our computation:

The trigonometry ratio given as

(sin²θ + cos²θ)/tan²θ

In trigonometry,

sin²θ + cos²θ = 1

So, we have the following representation

(sin²θ + cos²θ)/tan²θ = 1/tan²θ

Evaluate the quotient

(sin²θ + cos²θ)/tan²θ = cot²θ

Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ

Read more about trigonometry ratio at

brainly.com/question/24349828

#SPJ1

pleaseeeeee helppppppp

Answers

The statements that complete the function transformations are left, up, stretch and stretch

Completing the function transformations

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 94)²

Also, we have

f(x) = x²

This implies that f(x) = (x + 94)² is obtained by shifting f(x) = x² left by 94 units

Next, we have

f(x) = x² + 94

This implies that f(x) = x² + 94² is obtained by shifting f(x) = x² up by 94 units

Next, we have

f(x) = 94√x from f(x) = √x

This implies that f(x) = 94√x can be obtained from vertically stretching f(x) = √x by a factor of 94

Also, the graph of f(x) = √94x can be obtained from horizontally stretching f(x) = √x by a factor of 1/94

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Find the area of the given circle. Round your
answer to two decimal places. (Use pi = 3.14)

Answers

In this figure, we have been given a circle. The area of the circle is 314 sq ft.

The number of square units required to fill a circle is known as its area. The region occupied inside the boundaries of a round item or 2d figure is defined as the area in general. The measurement is done in square units, with square metres (m2) being the usual unit.

There are predefined formulas for calculating area for squares, rectangles, circles, triangles, and so on.

Area of a circle = πr²

We have been given r as 10 ft

and the value of π as 3.14, so we will just put it in the formula

Area of circle = 3.14 × 10²

= 3.14 × 100

314 sq ft.

To know more about area of circle:

https://brainly.com/question/28642423

SPJ1

(HELP ME BRAINLIEST OF THE BRAINLESTS!!!!!!)

A 1. Some square tiles measure 3 1/2 inches on each side. Seven Tiles are placed in a row. How long is the row of tiles?

The row would be _____ inches long



B 2. Suppose that 10 tiles like those problem 1 were placed in a row. How long would that row of tiles be

It would be ______ inches long

Answers

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

What is the length of the row?

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

Learn more about length  from

https://brainly.com/question/24778489

#SPJ1

Prove that


(secx+tanx)² =CSCx+1/CSC x-1

Answers

To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

For more such questions on prove, click on:

https://brainly.com/question/30831725

#SPJ8

Other Questions
I need help how would i write an email for this-We need your help. We would LOVE to feature you in this year's yearbook. If you are interested, you'll need to contact the student, student named student, in charge of the GOAL page. Please email student as soon as you can to see how you can get involved, okay? Plzzzz help Im begging you!!!! Type root word for instructions will mark brainliest please help meWhat is the difference between expressing and repressing and gene? what appears to be happening in each of the picutes if you know alot about sci feel free to help me! who was the first prime minister of Nepal? Al +CI = Al CI3how do i solve this Innovations during the Baroque period stylistically departed from the Renaissance. Select one work of art from this lesson. Identify the stylistic element characteristic of the Baroque period. Explain how this technique supported the artists visual depiction of a story within the artwork.Listed below are the only arts Im allowed to use The table shows two linear functions and the function values for different values of x.Which expression represents h(x)?A. (f g)(x)B. (g + f)(x)C. (f g)(x)D. (g f)(x) Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill All of the Gospels are about Jesus, yet each has a different emphasis.TrueFalse Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall. Factor xy + xy.A. x 3y 2(x + y) B. xy (x + 1 )C. xy (x + y) am i right brainliest going to first correct answer No attempt was made to test sodium with hydrochloricacid. Why not? Find the number of terms in this polynomial. 7g7 + 10g4 6g3 + 3g2 - g What is anequation of the line that passes through the points (8, 5) and (-6, 5): Chromatids are held together by aA spindle fiber.OB. centromere.C. cell plate.oD. centriole. What did DeAndre Arnold's school threaten to do if he didn't cut hishair?.ban him from the school promB.ban him from graduationC.expel him from schoolD.give him detention for a month