please help me!!!!!!!!!!!!!​

Please Help Me!!!!!!!!!!!!!

Answers

Answer 1

Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:    tan (A/2) = (sinA)/(1 + cosA)

                                                                     cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]

Proof LHS → RHS

Given:                       [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]

Rewrite Fraction:     [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]

Half-Angle Identity:   [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]

Substitute:                  [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]

Simplify:                      [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]

                               [tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]

                               [tex]=\dfrac{4}{2}[/tex]

                               = 2

LHS = RHS:  2 = 2  [tex]\checkmark[/tex]

Please Help Me!!!!!!!!!!!!!
Please Help Me!!!!!!!!!!!!!

Related Questions

A zookeeper has 858585 treats to divide evenly among 888 seals. The zookeeper divides to see how many treats to give to each seal. The zookeeper will have as few treats left as they can.

Answers

Answer: 10 treats per seal, and there are 5 treats left.

Step-by-step explanation:

The zookeeper has 85 treats, and want to divide them into seals, in such a way that the treats left is minimized,

Then we want to find the multiple of  that is closer to 85 (from below)

We know that: 8*10 = 80 is a multiple of 8, and the next one is:

8*11 = 88, but this is larger than 85, so we discard this option.

Then we will divide 80 treats into 8 seals, and we will have:

85 - 80 = 5 treats left.

Then each one of the 8 seals gets:

80/8 =  10 treats.

Find the value of x.
40°
(6x + 2)

Answers

Answer:

= 240x + 80

Step-by-step explanation:

The equation x + 2 = [tex]\sqrt{3x + 10}[/tex] is of the form x + a = [tex]\sqrt{bx + c}[/tex], where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (I know this is a handful but I'm really in need of help right now, thanks to everyone in advance!)

Answers

Answer:

Extraneous solution for Equation x + 1 = √7x + 15 : x = - 2

Step-by-step explanation:

We are given the equation x + a = √bx + c. As the hint says, let's substitute 7 for x first, receiving the following equation.

7 + a = √7b + c

Now let's say a = 1 and c = 8. Through substitution we solve for b,

7 + 1 = √7b + 8

8 = √7b + 8

8² = (√7b + 8)²

64 = 7b + 8

7b = 64 - 8 = 56

b = 56 / 7 = 8

Therefore, the equation x + 1 = √8x + 8 ( substitute the value of b ) will have a solution of x = 7. Let's simplify this equation and see if we receive any extraneous solutions.

x + 1 = √8x + 8

(x + 1)² - (√8x + 8)² = 0

(x + 1)² - 8x + 8 = 0

(x + 1)² - 8(x + 1) = 0

(x + 1)(x + 1 - 8) = 0

(x + 1)(x - 7) = 0

x = - 1 and x = 7

We already know that x = 7, but x = - 1 is not an extraneous solution. Therefore let's simplify the equation x + 1 = √7x + 15 and see if we receive any extraneous solutions.

(x + 1)² - (√7x + 15)² = 0

(x + 1)² - 7x + 15 = 0

x² - 5x - 14 = 0

(x - 7)(x + 2) = 0

x = 7 and x = - 2

In this case x = - 2 is an extraneous solution. We can check by substituting it back into the equation x + 1 = √7x + 15.

- 2 + 1 = √7(- 2) + 15

- 1 = √- 14 + 15

- 1 = √1

- 1 ≠ 1 - hence proved that x = - 2 is our extraneous solution

The equation with extraneous solution is [tex]x +5 = \sqrt{6x + 4[/tex]

The equation is given as:

[tex]x + 2 = \sqrt{3x + 10[/tex]

The form of the equation is given as:

[tex]x +a = \sqrt{bx + c[/tex]

Now, we assume that x = 7.

So, the equation becomes

[tex]7 +a = \sqrt{7b + c[/tex]

Assume that the value of a is 5

[tex]7 +5 = \sqrt{7b + c[/tex]

Add 7 and 5

[tex]12 = \sqrt{7b + c[/tex]

Square both sides of the equation

[tex]144= 7b + c[/tex]

Assume that the value of b is 6.

So, the equation becomes

[tex]144= 7(6) + c[/tex]

[tex]144= 42 + c[/tex]

Assume that c is 4

[tex]144= 42 + 4[/tex]

[tex]144= 46[/tex]

The above equation is false because 144 does not equal 46.

The values of a, b and c that makes the equation false are:

[tex]a=5[/tex]

[tex]b = 6[/tex]

[tex]c = 4[/tex]

So, we have:

[tex]x +a = \sqrt{bx + c[/tex]

[tex]x +5 = \sqrt{6x + 4[/tex]

Hence, the equation with extraneous solution is [tex]x +5 = \sqrt{6x + 4[/tex]

Read more about extraneous solutions at:

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Pythagorean Theorema a=24 b=26 c=?

Answers

Answer: 2√313

Step-by-step explanation:

Pythagorean theorem: a²+b²=c²

c²=a²+b²

c²=24²+26²

c²=576+676

c²=1252

c=√1252

c=2√313

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Which statement describes the congruent triangles?

1. WXZ = YZX
2. WXZ = YXZ
3. WXZ = XYZ
4. WXZ =ZYX

Answers

Answer:

1. [tex] \triangle WXZ \cong \triangle YZX[/tex]

Step-by-step explanation:

[tex] \triangle WXZ \cong \triangle YZX[/tex]

What is the slope of the line that passes through the points (5,–10) and
(-3,-10)? Write your answer in simplest form.

Answers

Answer:

Slope = 0

Step-by-step explanation:

The slope of a line between two points can be found by using the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,–10) and (-3,-10)

Their slope is

[tex]m = \frac{ - 10 + 10}{ - 3 - 5} = \frac{0}{ - 8} = 0[/tex]

We have the final answer as

Slope = 0

Hope this helps you

Answer:

0

Step-by-step explanation:

could someone please help me with this question

Answers

Answer:

Proportional: second and third, non-proportional: first and fourth

Step-by-step explanation:

Proportional relationships are linear functions that pass through the origin. Using this definition, we can conclude that the proportional relationships are the second and third options whereas the non-proportional relationships are the first and fourth options.

Answer:

proportional relationship: the second one and the third one the first and the fourth one

Non-proportional relationship: the first and the fourth one

Step-by-step explanation:

Like the first person said, a proportional relationship is when a linear line passes thru the origin, which is known as (0,0), so the second and the third are the only ones that do that, plus they have a y-intercept of a 0 and the others don't.

Simplify by dividing negative three over eight divided by five over nine..

Answers

Answer:

-15/24 or -0.625

Step-by-step explanation:

-3/8 ÷ 5/9

First, we can use the multiplication fraction conversion trick to switch the last fraction's numerator and denominator

It would look like this: -3/8 x 9/5

Use the cross out method to simplify the fractions as lowest as possible

-1/8 x 3/5 = -15/24

find the area of a trapezoid whose height is 2 meters and whose bases are 6 meters and 10 meters

Answers

Answer:

16 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

   = 1/2 ( 6+10) * 2

   = 16 m^2

Area of trapeZoid :
h(b + w)/2
=2(6+10)/2
16 m sq

What is 300 to the power of 10?

Answers

Answer: 5.9049E24

Step-by-step explanation:Because I said so

Answer:

5.9049e+24 bc they said so

Step-by-step explanation:

is x^2+y^2=5 a function? why or why not?

Answers

Answer:

No.

Step-by-step explanation:

A function must past the Vertical Line Test. We know that our equation x² + y² = 5 is a circle, and so some x-values have the same y-values, etc. Since not every x-value has its own y-value, our equation is not a function.

We can see this using a graph:

Since the vertical line test passes 2 points with the same x-value, it is not a function.

Im so confused. Please help me.

Answers

h(2) = 5(2) + 1

= 10 + 1 = 11

so h(2) = 11

Answer:

11

Step-by-step explanation:

If x=2 then we just solve the expression on the right

5x+1

5*2+1

11

so h(2)=11

If x + 3(2x-5) = 6 then x =
O
-3
3
O 15
O Option 4
O-14

Answers

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{3}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x + 3(2x - 5) = 6}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{x + 6x - 15 = 6}[/tex]

Collect like terms

⇒[tex] \sf{7x - 15 = 6}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{7x = 6 + 15}[/tex]

Add the numbers

⇒[tex] \sf{7x = 21}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 3}[/tex]

Hope I helped!

Best regards!

The value of x is 3 for the equation x + 3(2x-5) = 6.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is x + 3(2x-5) = 6

x plus three times of two times of x minus five equal to six.

We need to find the value of x.

x + 3(2x-5) = 6

Apply distributive property.

x+6x-15=6

7x-15=6

Add 15 on both sides

7x=6+15

7x=21

Divide both sides by 7

x=3

Hence, the value of x is 3 for the equation x + 3(2x-5) = 6.

To learn more on Equation:

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You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?

Answers

Answer:

100

Step-by-step explanation:

First, write out the equation

y = 24x + 4

Then plug in x = 4 to solve for y

y = 24x + 4

y = (24)(4) + 4

y = 100

if ABCD is a parallelogram find the value of unknown size of angle ​

Answers

b=7×10(opposite angle of parallelogram)

b=70

3x+10+b=180(cointerior angles)

3x=10

x=33.33

a+70=180(cointerior angles)

a=110

Identifying Steps Involved in Deleting a Column from a Table
Tristan has moved the Television and related equipment Use the drop-down menus to identify the steps
row. Next, he needs to delete the blank row.
involved in deleting the blank row in this scenario.
Use
Percentage
Step 1:
Space cooling
17.5
Step 2
Step 3
Water heating
9.5
Step 4: Click the Delete Row option
9.2
9.1
8.8
Lighting
Space heating
Refrigerators and
freezers
Television and
related equipment
All other uses
5.9
40.0

Answers

1 - C

2 - B

3 - A

Step-by-step explanation:

CBASteps for deleting a column from a table:To delete a table cell, row, or column, perform a right-click.Select Delete Cells from the menu.Select Shift cells left or Shift cells up to erase a single cell.Click Delete the entire row to remove the entire row.Click Delete full column to remove the column.Columns -A column in a relational database is a group of data values of a specific type, one value for each database row. Text values, integers, or even links to operating system files can all be found in columns.

Therefore, the correct answer is as follows:

CBA

Know more about columns here:

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Please help- Which is NOT equivalent to this expression? 3(52+15)

Answers

Answer: The last one  15[tex]g^{2}[/tex] +15g

Step-by-step explanation:

The last one , is not equivalent  because after simplifying the expression,  you will get  15g^2 + 45g   and the last one doesn't match to it.

Answer:

15g^2 +15g

Step-by-step explanation:

all the others are equal to 15g^2 + 45g aka 3(52+15)

Researchers recorded that a group of bacteria grew from 200 to 1,000 in 8 hours. At this rate of growth, how many bacteria will there be in 20 hours from the start of the experiment

Answers

Answer:

  11,180

Step-by-step explanation:

The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...

  b = (initial value)·(growth factor)^(t/(period of growth))

  b = 200(5^(t/8))

Using t = 20, the predicted population is ...

  b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180

There might be about 11,180 bacteria in 20 hours.

Answer:

11,180

Step-by-step explanation:

Use the table below. Find the total cost of 2 salads, 1 sandwich, and 2 drinks. Use mental math. Lunch Menu Salad $6.25 Sandwich $5.50 Drink $2.75

Answers

Answer:

12.50+5.50+5.50= 23.50

Step-by-step explanation:

Add it

Find the positive numbers such that the sum of and its reciprocal is as small as possible.Does this problem require optimization over an open interval or a closed interval

Answers

Answer:

Yes and closed interval

Step-by-step explanation:

The computation is shown below:

For the sum and the reciprocal as small as the possible equation is as follows

[tex]\(\frac{d}{dx}\left(x+\frac{1}{x}\right)=0.\)[/tex]

Now take out the derivates,

So,

[tex]\(1-\frac{1}{x^2}=0,\)[/tex]

or we can say that

[tex]\(x^2-1=0\rightarrow x=\pm1.\)[/tex]

As the only positive number is to be determined i.e

x = 1

So this problem needed the optimization over a closed interval and the same is to be considered.

Each side of a sandbox is 7 feet long. It will cost $1.00 per square foot to replace the sand in the sandbox. What would be the total cost to replace the sand?

Answers

Answer: $7.00

Step-by-step explanation:

each foot is $1, so times 7 is 7 dollars.

Answer:

49

Step-by-step explanation:

7 x 1 is 7.

7 x 7 is 49.

49 is answer.

Two two-digit numbers have the same digits. The sum of the digits of each number is 10. The difference between the numbers is 18. What are the numbers?

Answers

Answer:

46 and 64

Step-by-step explanation:

4 + 6 = 10

6 + 4 = 10

64 - 46 = 18

why is it important that the real numbers have the property of being complete

Answers

Answer:Real numbers must be complete in order to fill the number line.

Step-by-step explanation: No steps I got this answer from my algebra notes.

Completeness as a property of real numbers ensures that the limit of a sequence exists within the set due to the absence of gaps or missing points

Completeness of real numbers means that there are no gaps in between a sequence of real numbers or on a real number line.

The importance of completeness of real numbers is of particular importance in other to ensure that mathematical calculations and analysis hold for all sequence of real numbers in a set.

With the presence of gaps or holes in real numbers, then the limit of a sequence of real numbers may not exist within a specified set.

Learn more : https://brainly.com/question/16492781?

The difference of twice a number and 3 is -21 translated

Answers

Answer:

2x-3=-21.

2x=-21+3.

2x=-18.

x=-18/2.

x= -9.

Answer:

[tex]\Huge \boxed{2x-3=-21}[/tex]

Step-by-step explanation:

Let the number be x.

The difference of two values is the result from subtracting them.

[tex]2x-3=-21[/tex]

Add 3 to both sides.

[tex]2x=-18[/tex]

Divide both sides by 2.

[tex]x=-9[/tex]

The number is -9.

Which two equations below are equivalent to 4x-4?
Group of answer choices

3x+x+12-16

6(x-2)-2x+8

4x+14-10

4x-3x+2-4

Answers

3x + x + 12 - 16

6(x-2)-2x+8

Answer:

3x+x+12-16

Step-by-step explanation:

the 3x and x combine into 4x and the 12 and -16 combine into -4. This leaves you with 4x-4.

Round each decimal to the indicated place value 3.41469 ten thousandths

Answers

Answer:

3.4147

Step-by-step explanation:

Answer:

the number rounded to the nearest ten thousandth is : 3.4147

Step-by-step explanation:

3.41469 Round to ten thousandths

put the number in value chart:

ones   .   tenth       hundredth    thousandth     ten thousandth   h.thousandth

   3      .    4                1                    4                                6                      9

now look at the number after the ten thousandth it is 9 which is more than five , five and more add one to the value below

add (1) to 6

the number rounded to the nearest ten thousandth is : 3.4147

A hypothesis is:_______

a. a testable prediction about the relationship between variables.
b. a simple explanation for a psychological finding.
c. an observed relationship between independent and dependent variables.
d. an unprovable assumption about psychological processes.

Answers

A, a testable prediction about the relationship between variables

Answer:

a. A testable prediction about the relationship between variables

Step-by-step explanation:

A hypothesis is the FIRST step in conducting research or experimenting. In other terms, a scientific guess based on limited knowledge. Contrary to our hypothesis, conclusion comes last in researching and states the summary of the information gathered.

The reason why it isn't letter D is because a hypothesis's provability can only be determined once you have your conclusion, which is after you have conducted a research or experiment.

The letters B and C are too unrelated to what an hypothesis is.

- 8th grade student :)) (also buried under her own mountain of assignments and activities)

Using the image as a reference, what is the csc of angle 90 - x?

Answers

Answer:

Option (F)

Step-by-step explanation:

From the figure attached,

ΔABC is a right triangle.

m∠A + m∠B + m∠C = 180°

m∠A + 90° + x° = 180°

m∠A = 180 - (90 + x)

        = (90 - x)°

By applying cosec rule in this triangle,

csc(A) = [tex]\frac{\text{Hypotenuse}}{\text{Opposite side}}[/tex]

csc(90 - x) = [tex]\frac{\text{AC}}{\text{BC}}[/tex]

                 = [tex]\frac{5}{3}[/tex]

                 = 1.67

Therefore, Option (F) will be the correct option.

Given T(x,y)=(x+5,y+4) and the point P(2,3), what is T(P)?

Answers

Answer:  (7, 7)

==============================================

Explanation:

T(P) is the notation applying the translation rule T(x,y) = (x+5, y+4) to the point P(2,3)

The x+5 means we add 5 to the x coordinate of P. We have x = 2 become x+5 = 2+5 = 7. The point P shifts 5 units to the right to go from (2,3) to (7,3)

Then the point shifts 4 units up to arrive at (7, 7). We shift 4 units up due to the y+4 in the translation rule.

Or put another way, y = 3 is the y coordinate of P. So y+4 = 3+4 = 7 is the new y coordinate.

how many factors of 10 does 1000 have?

Answers

Answer:it has 16

Step-by-step explanation:

The answer of your question is 16 factors

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