L) simplify

sin²x ( cot²x + 1 )

Answers

Answer 1

Answer: 1.

Step-by-step explanation:

[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]


Related Questions

Help me please past due! Complete all 5 problems in simplest form and tell me what you did

Answers

3/6= 1/2 because 3 is the half of 6 and 1 is the half of 2

5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20

9/27= 1/3 because 1 x 9 =9 and 3 x 9=27

1/2 is the simplest form already

12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36

A sphere has a radius of 24 centimeters. What is its volume?

V
=
Cm^3

Answers

Hello there!

Answer:

[tex]V = 18432\pi[/tex] or approximately 57876.48

Step-by-step explanation:

[tex]V = \frac{4}{3} \pi R^{3}[/tex]

R = 24

[tex]V = \frac{4}{3} \pi *24^{3} = 18432\pi[/tex]

if [tex]\pi =3.14[/tex] then:

[tex]V = 57 876.48[/tex]

Farmer Johnson is putting fencing up around the field used for his cows. How many yards of fencing will he need?

Answers

Answer: 700 yards of fencing (assumed).

Step-by-step explanation:

To be able to calculate the number of yards that Farmer Johnson needs, you will have to know the dimensions of the field.

I will therefore assume certain figures and you can use it as a reference.

Assume that the field is a rectangular field that measures 200 yards in length and 150 yards in breath.

This means that the amount of yards needed will be the perimeter of the yard:

Perimeter = (Length * 2) + (Width * 2)

= (200 * 2) + ( 150 * 2)

= 400 + 300

= 700 yards of fencing.

Find the distance AB:
A = (-2, 1) and B = (5, -4)
Simplify.
d = √(5− −2)² + (−4 − 1)²

A. √74
B. √24
C. √-16

Answers

The formula to calculate the distance:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

(x₁,y₁) = -2, 1(x₂,y₂) = 5, -4

We substitute and solve:

d = √(-5(-2))² + (-4-1)²

d = √7² + (-5)² = √49 + 25

d = √74 ====> Alternative "A"

PLZ HELP ME I WILL GIVE BRAINLYEST

Answers

Answer:

B. Few energy sources

Step-by-step explanation:

What is ordinate of a 3 4?

Answers

The coordinate of 3 4 indicates a point on a cartesian plane.

What is coordinates system?

In mathematics, the coordinate system refers to the method in which a location of a point is identified in the plane or space.

There are two coordinate system, one is cartesian coordinate system and the other is polar coordinate system.

Each coordinate system has some reference lines called reference axis or reference direction or point called reference direction and point.

What do we mean by coordinate of 3 4?

As per the definition of a cartesian coordinate system, a location of a point is identified by a pair of numerical terms. The first one indicates the X coordinate and the second one indicates the Y coordinate.

So, the above coordinate 3 4 refers to a point on the XY coordinate system where 3 is the X coordinate and the distance from Y axis and 4 is the Y coordinate and distance from the X axis.

ordinate refers to y point in (x, y)

in (3,4)

ordinate = 4

To learn more about coordinates visit:

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PLEASE HELP

The right triangle below is formed by squares A, B, and, C. Square A has an area of 64 meters and Square C has an area of 289 square meters. What is the perimeter of Square B?

Answers

9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

Select the correct answer. A figure shows a pyramid of height 3 h and a rectangular prism of height h. This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism? A. volume of pyramid volume of prism = 1 B. volume of pyramid volume of prism = 1 9 C. volume of pyramid volume of prism = 3 D. volume of pyramid volume of prism = 2 3 Reset Next

Answers

Answer:

Step-by-step explanation:

The ratio of the volume of the pyramid to the volume of the prism is 1.so, the option A. is correct.

Let the base of  the base of a prism is b and the height of the prism is h.

so, the volume of the prism-

                                    V= [tex]b^{2}[/tex] h

also, given that base of the given pyramid is also b and the height of the pyramid is three times the height of the prism.

                                     h'=3h

so, the volume of the square pyramid-

                                    V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex]h'

                                    V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex](3h)

                                    V'=[tex]b^{2}[/tex]h

so, now-

                                  [tex]\frac{V'}{V}[/tex]=[tex]\frac{b^{2}h }{b^{2}h }[/tex]

                                   [tex]\frac{V'}{V}[/tex]= 1

  so. the ratio of the volume of the pyramid to the volume of the prism is 1.                                

Explain a few ways that placing figures in a coordinate plane can be helpful for solving different problems. ​

Answers

Use the coordinate plane to graph points, lines, and geometric forms in the different quadrants, and then use the absolute value to determine the distances between them.

What does ordinate math entail?

An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. Meaning of a Coordinate Plane. The intersection of the x-axis and y-axis, two perpendicular lines that form a 2D plane known as a coordinate plane.

Which three coordinate systems are there?

Cartesian, cylindrical, and spherical are the three most often used coordinate systems. We'll discuss a cylinder-based coordinate system as well as a cartesian-based one in this chapter.

Learn more about co ordinate

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A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?

A) 261.8
B) 785.4
C) 916.3
D) 1047.2

Answers

Answer:

Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:

Volume of a Cone:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

Volume of a Cylinder:

[tex]V=\pi r^2h[/tex]

can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by

[tex]V_{silo} =\pi (5^2)(10)+(2)(\frac{1}{3})\pi (5^2)(5)=(\frac{4}{3})(250)\pi[/tex]

which is approximately equal to 1,047.2 cubic feet.

The final answer is D.

Josie thinks that because she has two pets, that the average number of pets each of her classmates has is also two. Is this a good statistical description of the number of pets each student has? What should she do instead?

Answers

Step-by-step explanation:

ok i know the answer 1+1=2

Help I'm giving all my points which is 29 points please I swear if you put a bit link I'm reporting you and I hope you go to hell... of scamming people

Answers

Answer:

D

Step-by-step explanation:

6 days is 60%

help me please........

Answers

Answer:

17) (4,7) (4,5)

18) (-4,7), (-4,5) , (4,7. ) ,( 4,5) is a rectangle solve for area

19) quadrant 2

45097 divided by 23 please help me

Answers

Answer:

1409.28

Step-by-step explanation:

hope this helps :)

what does x and y equal? thanks

Answers

X= 60° because angles on a straight line equal 180° and y= 50° because angles in a triangle equal 180°

Consider the sequence 1, 4, 16, 64, 128, …

Which statement describes the sequence?

A. The sequence diverges.
B. The sequence converges to 0.
C. The sequence converges to ∞.
D. The sequence converges to –∞.

Answers

Answer:

b is correct answer

Step-by-step explanation:

that is correct answer

Answer:

The sequence diverges

Step-by-step explanation:

F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>0. Find f(7)Round your answer to the nearest hundreth

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

-9 - (-4)



This is for homework help :’)

Answers

Answer:

-5

Step-by-step explanation:

-9 - ( -4 )

= -9 + 4

= -5

Step-by-step explanation:

-9-(-4) ( when there is a- in front of an expresion in parentheses, change the sign of each term in the expression )

-9+4 (Calculate the sum)

- 5

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
14, 10, 6, ...

Answers

Answer:

Step-by-step explanation:

Each term in the sequence is 4 less than the previous term.  That indicates an arithmetic sequence, which has the form a(n) = a(1) + d(n -1), where d is the common difference.  Here the common difference is -4, and so the appropriate sequence is

a(n) = 14 - 4(n - 1)

Can someone explain to me how to do this?
solve × ÷ - 2 = 7
x = ?​

Answers

Answer: -14

Step-by-step explanation:   When you have a problem like this all you do in multiply the answer and the number your given.

 7x-2 that would by -14

You want to check your answer by changing X for -14 and you solve from there. Plus 2 negatives equal a positive.

Hope this helps!

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{\dfrac{x}{-2} = 7}[/tex]

[tex]\text{Multiply } \rm{ -2}\text{ to both sides}[/tex]

[tex]\mathsf{\dfrac{x}{-2}\times -2 = 7\times -2}[/tex]

[tex]\text{Simplify it}[/tex]

[tex]\mathsf{x = 7\times -2}[/tex]

[tex]\mathsf{x = -14}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = -14}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

pleasee helpp !! <33

Answers

Answer is
8x 9x 11 and 16x
in the first boxes and
33x + 11 in the second box

Step by step

Perimeter is adding all four sides. Put each number in a box. Add them together for the second box.
Notice one side (11) does NOT have an “x” so it cannot combine for the second answer of 33x + 11.
You can combine like terms of “x” but you can’t combine the unlike term of 11.

need help fast iiiiiiiiiiii

Answers

Answer:

$3.50

Step-by-step explanation:

1.10 / 2 = 0.65

1.10 + 0.65 = 1.75

2.20 / 2 = 1.10

1.10 / 2 = 0.65

1.10 + 0.65 = 1.75

1.75 + 1.75 = 3.50

therefor the answer is $3.50

let me know if you would like me to explain in more detail

If mZBCD = (7x + 10)' and MBAD = (19x – 50), find mBAD.

Answers

Answer:

could u upload the figure as well?

Step-by-step explanation:

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

[tex]x \approx 55.8[/tex]

Step-by-step explanation:

In order to solve this problem, one must use the trigonometric ratios. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)= \frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Remember, each side is named relative to the angle, thus sides will attain different names depending on the angle which one sues to calculate with.

In this case, one is given the measure of the angle, and the measure of the side opposite to the angle. One is asked to find the measure of the side adjacent to the angle. Use the trigonometric ratio ([tex]tan[/tex]) to solve for the unknown. Substitute in the given values,

[tex]tan(25)=\frac{26}{x}[/tex]

Manipulate the equation such that it is solved for the parameter(x),

[tex]x=\frac{26}{tan(25)}[/tex]

Solve,

[tex]x \approx 55.8[/tex]

For which graph is the parent function y= x2?

Answers

Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!

Answer:

option a

Step-by-step explanation:

edg

Kyle earns 11.2% commission on his sales at the electrical retail store. He made sales worth $8571 this month. how much commission has he earned? Give your answer to the nearest dollar.

Answers

Answer:

Sales=8571$

Commission=11.2% of Sales

=11.2/100 × 8571$

=(11.2×8571)/100 $

=959.952$ Which is nearly equal to 960$.

*mark me brainliest

If you rolled two dice 5 times, how many times would you expect to get a product of 10?
I will report if you delete or give the link as the answer.

Answers

Answer:

about 2

Step-by-step explanation:

you see there is a chance you might not get 10 but i belive its 2 times you will

roll a ten bc its all just random

People attending a basketball game either supported the home team or the visiting team. If 549 of the people attending supported the home team and 351 supported the visiting team, what percentage supported the home team?

Answers

Answer:

Your answer is about 36%.

Step-by-step explanation:

First you do 549-351 = 198.

You do this to find the amount of people supporting the home team.

Then you do 198/549 = 0.36065573770492.

Times this number by 100 and you have your answer of 36.065573770492%.

Answer:

36%

Step-by-step explanation: First, you need to find out what number of people supported the home team by finding the difference.

549-351=198

To turn the number of home team supporters into a percentage, you need to take the fraction [tex]\frac{198}{549} \\[/tex] and convert it to a decimal by division.

198/549=.3606557377

Round to the hundredths place

=.36

move the decimal, and you have your percentage

36%

5. Use the properties of logarithms to expand log₂
constant multiple of variables. (Assume all variables are positive.)
as a sum, difference, and/or

Answers

Answer:

  1/2log₂(a-1) -log₂(9)

Step-by-step explanation:

You want the expanded form of log₂(√(a-1)/9).

Rules of logarithms

The relevant rules of logarithms are ...

  log(a^b) = b·log(a)

  log(a/b) = log(a) -log(b)

The rules are applicable for any base.

Application

  [tex]\log_2{\dfrac{\sqrt{a-1}}{9}}=\log_2{(\sqrt{a-1})}-\log_2{(9)}=\boxed{\dfrac{1}{2}\log_2{(a-1)}-\log_2{(9)}}[/tex]

Kate has $400. She wants to have $430 to buy a couch. How much interest would she have to earn in order to get the additional $30?

Select the best answer from the choices provided.
A. 3%
B. 4.5%
C. 6%
D. 7.5%

Answers

The best answer is 7.5 percent because when you multiply 400 x 1.075 you get a sum of 430

Answer:

D) 7.5%

Step-by-step explanation:

We can solve this through guessing and checking, or we can do this mathematically. We will try both approaches.

Mathematically:

We know that to get the extra $30 if we have $100, is a 30% interest. Now, since we have 4x 100, and these numbers are inversely proportional, we will need to divide 30 by 4. Doing this gives us 30/4 = 7.5, so the answer is 7.5%.

Guess and Check:

This way is a bit slower, but we will go through each answer and find how much money we would get from them. So, we would take our percent, change it to a number of that percent, considering we are taking it from 100, and multiply it by 4 since we have $400. We will get each of these respectively:

A) 3% = 3 * 4 = $12

B) 4.5% = 4.5 * 4 = $18

C) 6% = 6 * 4 = $24

D) 7.5% = 7.5 * 4 = $30

As you can see, D) gives us that extra $30, so the answer is D) 7.5%.

Hope this helped!

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