PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.

tanx+cotx/cscx cosx=sec^2x

Drag an expression to each box to correctly complete the proof.

PLEASE HELP ASAP!!!!!!!!!Prove The Trigonometric Identity.tanx+cotx/cscx Cosx=sec^2xDrag An Expression
PLEASE HELP ASAP!!!!!!!!!Prove The Trigonometric Identity.tanx+cotx/cscx Cosx=sec^2xDrag An Expression

Answers

Answer 1

The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

What is trigonometry?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The proof will be given as:-

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]

     

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]

Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

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Related Questions

is 1/-1x equivalent

Answers

Answer:

[tex]\huge\boxed{\dfrac{1}{-1x}=-\dfrac{1}{1x}=-\dfrac{1}{x}=-x^{-1}}[/tex]

The graph represents a pair of equations. What point represents the solution to the pair of equations?

Answers

Answer:

if I'm correct it's where the 2 lines meet, which would mean the answer to be (-3,2)

Answer: Point of Intersection, (-3, 2)

Step-by-Step Explanation:

• The Solution to this Pair of Linear Equations will be the point of intersection of the 2 Lines.
• The x-coordinate or the value of ‘x’ will be -3, and the y-coordinate or the value of ‘y’ will be 2. This can be written in an ordered pair as (-3, 2)


=> More to Know :-
• The graph of a pair of linear equations that have a unique solution will always have lines that intersect.
• If the pair of linear equations have no solution, the lines will not meet at any point and if they have infinite solutions, the lines will coincide on each other.

What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-00,00)
O domain: (-00,00); range: f(x) > 0
O domain: (-0,00); range: f(x) ≤0
O domain: x ≥ 2; range: (-00,00)

Answers

Answer:

X intercepts (41/2, 0), Y  intercepts (0, -41)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me, and ill be more than happy to help :)

The domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

What is a function?

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes.

The function f(x) = 2x - 41 is a linear function.

As a linear function, the domain is all real numbers, and the range is also all real numbers.

So the domain is (-∞,∞) and range is (0,∞)

Hence,  the domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

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Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square.
answer below:
–9 = 7x2 –
⇒ 56 x

–9 +
⇒ 112 = 7(x2 – 8x +
⇒ 16 )

56, 112, 16 in that order

Answers

Answer:

it's actually 28+/-√721/7

Step-by-step explanation:

Find the surface area of the cone in terms of 1.
15 cm
3 cm

Answers

In terms of l?

TSA

πr²+πrlπr(l+r)π(3)(3+l)9.42(3+l) cm²

LSA

πrl9.42l cm²

Answer:

[tex]\sf SA=54\pi\:\:\:cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

[tex]\sf SA=\pi r l+\pi r^2[/tex]

where:

r is the radiusl is the slant height

Given:

r = 3 cml = 15 cm

Substitute the given values into the formula and solve for SA:

[tex]\implies \sf SA=\pi (3)(15)+\pi (3)^2[/tex]

[tex]\implies \sf SA=45\pi+ 9 \pi[/tex]

[tex]\implies \sf SA=54\pi\:\:cm^2[/tex]

Therefore, the surface area of the cone in terms of pi is:

[tex]\sf SA=54 \pi\:\:\:cm^2[/tex]

Assuming no air resistance, how long would it
take a skydiver to fall 180 feet? (Estimate
your answer to one decimal place. Hint: Use the
equation d = 16+²)

Answers

Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

What is the height considering no air resistance?

The height in feet that a person has fallen after t seconds is given by:

d = 16t².

In this problem, we want the time for a fall of 180 feet, hence.

[tex]16t^2 = 180[/tex]

[tex]t = \sqrt{\frac{180}{16}}[/tex]

t = 3.35

The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

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There are eight shirts in your closet, four
blue and four green. you randomly select
one to wear on monday and then a
different one on tuesday. you wear blue
shirts both days.

please show your work, just so i would also understand how to answer this question !!

Answers

Answer:

it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue


A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2?

Answers

Answer:

9/2 or 6/2

Step-by-step explanation:

The sum of nine should be amended by adding 6 + 2 +1 = 9

so when adding these numbers you will get the sum of 9

A man of height 1.5 m is standing in front of a tower of height 81.5 m. At what angle should he observe the top of the tower from the distance of 80 m?​

Answers

The angle at which the man should observe is 45 degrees.

To solve the question :

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

Therefore, The angle at which the man should observe is 45 °.

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What is the slope of the line represented by the equation f(x) = -47
2x 4₂
-4

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: slope \:\: of \:\: line = \cfrac{3}{2}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The equation of line is written in slope - intercept form

[tex]\qquad \tt \rightarrow \: f(x) = \dfrac{3}{2} x - 4[/tex]

if we compare it with general slope - intercept equation of line :

[tex]\qquad \tt \rightarrow \: f(x) = mx + c[/tex]

[ m represents slope of line ]

[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]\frac32[/tex]

Step-by-step explanation:

Hello!

An equation of a line is usually written in slope-intercept form.

Slope Intercept Form: [tex]y = mx + b[/tex]

m = slopeb = y-intercept

If we compare our given equation with the format:

m = [tex]\frac32[/tex]b = -4

This means that [tex]\frac32[/tex] would be our slope for the line.

can you write 3/5 as a recurring decimal?
can i also have an explanation please :)

Answers

Answer:

0.6

Step-by-step explanation:

You can literally put 3/5 into a calculator and you would get the answer 0.6, so I don't know what else to say. Whoever asked you this question, give them the above answer ask them what they were on, because the person was probably way high on LSD.

Bearing a to b is 280 what is bearing b to A

Answers

Answer:

please see photo attached for detailed analysis.

What decimal is equivalent to ?
7-25

Answers

Answer = .28
Explained
7/25
Divide 7 by 25 = .28
Hint: the slash between the 7 and 25 (numerator and denominator) is a division sign

5w-8x+20y+6z
Term:
Coefficient:

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \sf{5w\rightarrow coefficient = 5} [/tex]

[tex] \sf{-8x\rightarrow coefficient = -8} [/tex]

[tex] \sf{20y\rightarrow coefficient = 20} [/tex]

[tex] \sf{6z\rightarrow coefficient = 6} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Term refers to each variable or constant separated by a mathematical operator.

Coefficient refers to the numberic part of variable or a constant number present in an expression.

[tex]\qquad \tt \rightarrow \: 12a - 10b + 6[/tex]

[tex] \large\textsf{Terms :} [/tex]

[tex] \texttt{5w } [/tex]

[tex] \texttt{coefficient = 5} [/tex]

[tex] \texttt{-8x} [/tex]

[tex] \texttt{coefficient = -8 } [/tex]

[tex] \texttt{20y} [/tex]

[tex] \texttt{coefficient = 20} [/tex]

[tex] \texttt{6z} [/tex]

[tex] \texttt{coefficient = 6} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Can someone help me please its geometry.

Answers

The figure showing the construction is given below.

Steps for the construction of a circle through three points not on a straight line are as follows:

1. To create two lines, connect the points.

2. Create the line's perpendicular bisector.

3. Create the opposite line's perpendicular bisector.

4. The circle's center is where they intersect.

5. Draw your circle by placing the compass on the center point and adjusting its length to reach any point.

What happens if the points are parallel?

The circle traveling through all three points will have an infinite radius if the three points are collinear, or all situated on a straight line. Therefore, a practical circle cannot traverse three collinear locations. The two radii would be parallel and would never come together at a center if you tried the construction. We may claim that they do cross mathematically but at infinity.

Hence, after following the steps we obtain the circle.

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The nth term of a sequence is -2n-4. Work out the 50th term of the sequence

Answers

Answer:

-104

Step-by-step explanation:

Completed by plugging 50 in the equation:

-2(50) - 4 =

-100 - 4 =

-104

Volume and surface area rectangular prism

13 in 7in 7in

Answers

The Volume and Surface Area of Prism is 462  in² and 637  in³.

What is Prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.

Surface area of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 13*7 + 7*7+ 13*7)

=2*231

= 462  in²

Now, Volume,

= bhl

= 13*7*7

= 637  in³

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Out of 475 applicants for a job, 240 have 10 years experience and 83 have over 10 years experience and a graduate degree. what is the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience?

Answers

Answer:

1

Step-by-step explanation:

Could this be a tricky question? See the point:

240 have 10 years experience (exactly)and 83 have over 10 years experience and a graduate degreeCombining 1 and 2 the answer is 1

Though it's inlikely that the first 240 people have only 10 years. Don't take this answer very seriously

f(x)=12(x-10)2+18

What is the "a" value of this function?

Answers

Answer:

12

Step-by-step explanation:

Assuming that the 2  actually represents square, the equation is
[tex]f(x) = 12(x-2)^2 + 18[/tex]

[tex](x-2)^2 = x^2 - 4x + 4\\\\12(x-2)^2 + 18 = 12( x^2 - 4x + 4) + 18 = 12x^2 -48x + 48 + 18 = 12x^2 -48x + 66\\[/tex]

This equation is of the form
[tex]ax^2 + bx + c[/tex]

[tex]a = 12, b = -48, c = 66[/tex]

Note

Since the question is only asking for the a value which is the coefficient of x² it is clear that 12 is the coefficient without expanding (x-2)² but it is always better to proceed as above in case you are asked for b and c values also

Value of the function at x=a is [tex]12a^{2} -240a +1218[/tex].

Given function f(x)=[tex]12(x-10)^{2} +18[/tex]

We have to find the value of function at x=a.

For this we have to just put x=a in the function f(x)=[tex]12(x-10)^{2}+18[/tex]

f(a)=12[tex](a-10)^{2} +18[/tex]

we have to expand (x-10) to the power 2  to get the value of  function.

f(a)=[tex]12(a^{2} +10^{2} -20a)+18[/tex]

=[tex]12a^{2}+1200-240a+18\\[/tex]

=[tex]12a^{2} -240a+1218[/tex]

Hence the value of function at x=a is [tex]12a^{2} -240a+1218[/tex] means f(a)=[tex]12a^{2} -240a+1218[/tex].

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On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.

A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.

Which line on the graph shows the proportional relationship in the table?

Line
on the graph shows the proportional relationship.

Answers

The proportional relationship given in the table is y = 1.6x, and line B shows this relationship.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant of proportionality, considering the points on the table, is given as follows:

[tex]k = \frac{24}{15} = \frac{16}{10} = \frac{8}{5} = 1.6[/tex].

Hence the equation is:

y = 1.6x.

Line B gives the same points as the table, hence it shows the proportional relationship.

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Can someone help me with question 3? I like to see the working and answer on paper, that would be more helpful, I’m in a hurry

Answers

The steps to draw all the three angles have been explained.

What is an Angle ?

An angle is made by two rays that have one common end point known as vertex.

To make an angle congruent to the one given , the angle has to be copied

For making both ∠XYZ and∠ UVW , following steps will be followed.

Draw two rays separately and name it YZ and VW .Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.The angle formed will be copy of ∠ABC and∠ DEF

Now to draw RST = ABC  + DEF

Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.

       The angle obtained will be RST.

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Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost.

Answers

Answer: 280

Step-by-step explanation:

50 cents for each banana so: 4* 50= 200

200+80

Answer is 280

3. If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?
A. 5
B. 2.5
C. 26
D. 1300

Answers

5
260/104= 2.5(2) = 5

When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t), can be measured by the following piecewise defined function: S of t is equal to the piecewise function of 140 minus 6 times t if 0 is less than or equal to t is less than or equal to 4 and 116 if 4 is less than t is less than 8 and 96 plus 8 times t if 8 is less than or equal to t is less than or equal to 12 where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 8 a.m., in which interval will their systolic pressure be lowest?

Answers

Based on the graph, the interval will their systolic pressure be lowest is 4pm to 5pm.

What is the interval in blood pressure ?

The lowest systolic pressure can be seen from 5 and 8 hours after taken the medication.

If we look at the time details then this will fall inbetween the interval of 2pm to 5pm.

According to question, the time range is 4pm to 5pm.

Hence, the interval will their systolic pressure be lowest is 4pm to 5pm.

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Answer:

The answer is B - 12 P.M to 2 P.M

Step-by-step explanation:

please evaluate the equation​

Answers

Step-by-step explanation:

[tex] = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )[/tex]

[tex] = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )[/tex]

[tex] \: [/tex]

[tex]a_1 = - 2[/tex]

[tex]n = 7[/tex]

[tex]r = 6 \to r >1[/tex]

[tex] \: [/tex]

• Find S7.

[tex]s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )[/tex]

[tex]s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )[/tex]

[tex]s_7 = - 2.( \frac{279.936 - 1}{5} )[/tex]

[tex]s_7 = - 2.( \frac{279.935}{5} )[/tex]

[tex]s_7 = - 2 \: . \: 55.987[/tex]

[tex]s_7 = - 111.974[/tex]

The answer is B.

Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x

Answers

A fraction is a way to describe a part of a whole. The correct option is C.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The choice that is equivalent to the fraction  can be found by rationalizing the denominator of the fraction. Therefore, we can write,

[tex]\dfrac{2}{2-\sqrt{6x}}\\\\\\=\dfrac{2}{2-\sqrt{6x}} \times \dfrac{2+\sqrt{6x}}{2+\sqrt{6x}}\\\\\\= \dfrac{4+2\sqrt{6x}}{4-6x}\\\\\\=\dfrac{2(2+\sqrt{6x})}{2(2-3x)}\\\\\\= \dfrac{2+\sqrt{6x}}{2-3x}[/tex]

Hence, the correct option is C.

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Please help me with my math

Answers

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

It's very urgent plss answer

Answers

The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

               6p + 3 = 12

                     6p = 9

                       p = 1.5

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Pls answer thissssssss

Answers

Answer:

Area of room = 21 * 16

= 336 m²

Area of Carpet = (21 - 1)* (16-1)

= 20*15

= 300

Area of border = Area of room - Area of carpet

= 336 - 300

= 36 m².

Which expressions are in simplest form? Check all that apply. 0 x²³+y³ 1 - 3 9-9 ·to -12 a² + b ² Which expressions are in simplest form ? Check all that apply . 0 x²³ + y³ 1 - 3 9-9 · to -12 a² + b ² ​

Answers

The expression that's in the simplest term will be -12a² + b².

How to illustrate the expression?

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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