How do I know the following equation is true:

How Do I Know The Following Equation Is True:

Answers

Answer 1

Answer:

The equation is true

Step-by-step explanation:

The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.

Mathematically we know that pi = 180 degrees

So pi/8 = 22.5

and pi/4 = 180/4 = 45

So let’s make our check.

Insert pi = 22.5 and pi = 45

So we have;

tan 22/5 = √(1-cos45)/(1+cos45)

Now let’s evaluate this using a calculator.

tan 22/5 = 0.414213562373

The term in the root; 0.171572875254

The square root of this number is 0.414213562373

This is exactly as what is obtained with the tan 22.5

So we conclude that what we have is true


Related Questions

g(x)=sqrt8x what is domain of g

Answers

Answer:

x > or equal to 0

Step-by-step explanation:

you're welcome

Answer:

x > or equal to 0

2x2 − 5x + 3 HELPPPPPPPP

Answers

Answer:

-x+3

Step-by-step explanation:

2x^2-5x+3 Square 2x

4x-5x+3 combine like terms

-x+3

Hope this helps

Answer:

Factoring answer: (x-1)(2x-3)

Quadratic Formula: x = 3/2, 1

Complete the square: 2(x - 5/4)^2 - 1/8

Find the x and y intercept: X - (1,0), (3/2,0) Y - (0,3)

Hope this helps :)

A linear inequality in one variable is a linear equation in one variable with the equals symbol replaced by an inequality symbol. True or False?

Answers

Answer:

True

Step-by-step explanation:

Example:

8 = 3 x - 5  is the equation in one variable

an associated linear inequality in one variable is for example:

8 < 3 x - 5

Simplify
Pls help......​

Answers

Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!

Answers

Answer:

160°

Step-by-step explanation:

The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80  to get 110 than subtracted that from 180 to get 70. Lastly, i added 90°  to 70°  to get 160°

Hope this helped you get the answer :)

The measure of angle B in Parallel lines will be 160°.

What are parallel lines?

Parallel lines are those lines that never intersect at any point and always maintain a constant distance.

We have,

Lines L and K are parallel to each other.

And,

The measure of angle A = 120°

The measure of angle C = 80°

Now,

Draw a straight line from A to B,

So, that ∠BAl = 90° and

∠ABk = 90°

We get,

ΔABC,

Now in ΔABC,

∠C = 80°

∠A = 120 - 90 = 30°

So, Using Tringle angle sum property,

80° + 30° + ∠ABC = 180°

∠ABC = 180° - 110°

∠ABC = 70°,

Now,

Adding  ∠ABC and ∠ABk, to get  ∠CBk,

i.e.

∠CBk = ∠ABC + ∠ABk = 70° + 90°

∠CBk = 160°

Hence we can say that the measure of angle B will be 160°.

To learn more about Parallel lines click here,

https://brainly.com/question/16701300

#SPJ2

Write each of the following expressions without using absolute value.

|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:

Answers

Answer:  -2

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

If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that

[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]

Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.

---------

So we have,

|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2

As long as a < 7, the result of |a-7| - |a-9| will always be -2.

---------

As an example, let's say a = 0

|a-7| - |a-9| = |0-7| - |0-9|

|a-7| - |a-9| = |-7| - |-9|

|a-7| - |a-9| = 7 - 9

|a-7| - |a-9| = -2

I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.

Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?

Answers

Answer:

Hey there!

In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.

Hope this helps :)

Answer:

9 degrees

Step-by-step explanation:

There are 360 degrees in a circle

There are 40 people

360 / 40 = 9

Each person gets 9 degrees

5. Use long division:
a. 483 ÷ 15
b. 907÷12​

Answers

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Leave the explanation too please.

Answers

Answer:

58 square units.

Step-by-step explanation:

From the graph attached,

Area of the figure = Area of the rectangle A + Area of two squares B and C

Area of rectangle A = Length × width

                                 = 10 × 5

                                 = 50 square units

Area of the square B = (Side)²

                                   = (2)²

                                   = 4 square units

Similarly area of the square C = 2² = 4 square units

Area of the total figure = 50 + 4 + 4

                                      = 58 square units

Therefore, 58 square units will be the answer.

A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Answers

A 'number' can be 0,1,2,3,4,5,6,7,8,9
There are ten options for each number.
If there are 6 numbers, there are 10^6 different combinations.

Answer:

151200 possible combinations

Step-by-step explanation:

There are 10 digits 0 - 9  ( 0,1,2,3,4,5,6,7,8,9)

There are 10 choices for the first digit

10

There are 9 choices for the second digit

9

There are 8 choices for the third digit

8

and so on  since we can only use each digit once

10 *9*8 *7 *6*5

151200 possible combinations

1.5 rounded to the nearest one

Answers

Answer:

2

Step-by-step explanation:

Five and above, round up. Four and below, round down.

Answer:

2

Step-by-step explanation:

anything less then five is rounded down anything above 5 is rounded to the higher number

Jack is counting days in his calendar by shading the block that represents each passing day. According to Jack’s calendar, how much time is shaded? Assume that 7 days equals 1 whole week. Check all that apply. 3 days 1 week + 3 days 1Three-sevenths weeks 1 week and 4 days 1 week and Four-sevenths of a week

Answers

If you add them all up you get 38 days
Explanation: 3+7+3+3+7+4+7+4=38 days

What is 5/7 subtracted by 2/5

Answers

Answer:

11/35

Step-by-step explanation:

32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?

A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50​

Answers

Answer:

The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt

ratio
simplify

4x:9=7:3

Answers

Answer:

4x:9=7:3 can be written as

[tex] \frac{4x}{9} = \frac{7}{3} [/tex]

Cross multiply

We have

4x(3) = 9 × 7

12x = 63

Divide both sides by 12

[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]

Hope this helps you

Answer:

[tex]\boxed{x=\frac{21}{4}}[/tex]

Step-by-step explanation:

[tex]4x:9=7:3[/tex]

Turn ratios to fractions.

[tex]\frac{4x}{9} =\frac{7}{3}[/tex]

Cross multiplication.

[tex]4x \times 3 = 9 \times 7[/tex]

Simplify.

[tex]12x=63[/tex]

Divide both sides by 12.

[tex]x=\frac{63}{12}[/tex]

[tex]x=\frac{21}{4}[/tex]

Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)

Answers

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Which phrase matches the expression 2v? A. v divided by 2 B. 2 more than v C. 2 decreased by v D. twice v

Answers

Answer:

D. twice v

Step-by-step explanation:

2v

This is 2 times v or twice v

Help me pls, it’s for right now

Answers

Answer:

c

Step-by-step explanation:

A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half

Answers

Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

Find each product.

(5-x2+2)(-3)

PLEASE HELP!!! ASAP!!!

Answers

Answer:

[tex]3x^2 - 21[/tex] (did you mean for the equation to be [tex](5 - x^2 + 2) \cdot -3[/tex]?)

Step-by-step explanation:

Multiplying -3 by each term:

[tex]-3 \cdot 5 = -15[/tex]

[tex]-x^2 \cdot -3 = 3x^2[/tex]

[tex]-3 \cdot 2 = -6[/tex]

[tex]-15-6 = -21[/tex]

So the equation comes out to [tex]3x^2 - 21[/tex] .

Hope this helped!

Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °

Answers

Answer:

m∠5 = 77

Step-by-step explanation:

∠3 & ∠ 5 are the co interior angles in the same side of the transversal

∠3 + ∠5 = 180 {sum of co interior angles is 180}

3x + 4 + 2x +11 = 180  {Add like terms}

5x + 15 = 180

Subtract 15 from both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both side by 5

5x/5 = 165/5

x = 33°

m∠5 = 2x + 11 = 2*33 + 11

        = 66 + 11

       = 77

Answer:

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Angles 3 and 5 are "same side interior angles"

The equation "(3x + 4) + (2x + 11) = 180" can be used to solve for x.

m∠5 = "77°"

Step-by-step explanation:

PLEASE HURRY I NEED HELP BAD
An equation is shown below:
5(2x – 3) = 5
Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

One solution

2

Step-by-step explanation:

5(2x-3)=5

10x-15=5

10x=5+15

10x=20

x=2

Part A: 1

Part B: It has only one solution and it is 2.

Hope this helps ;) ❤❤❤

Answer:

I believe 1 solution

Step-by-step explanation:

divide both side of equation by 5= 2x-3)=1

add 3 to each side= 2x=1+3

2x=4

x=2

if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?

Answers

Answer:

$320

Step-by-step explanation:

Let the total sum of money be $x.

Therefore,

12 1/2% of x = 40

25/2% * x = 40

0.125 * x= 40

x = 40/0.125

x = $320

Thus, total sum of money is $320.

Helpppppppppp pleasessssss

Answers

Answer:

A.

Step-by-step explanation:

When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.

The correct answer is D

Find the limit (if it exists). (If an answer does not exist, enter DNE.) $ \displaystyle{\lim_{\Delta x \rightarrow 0}} \text{ } \dfrac{{\color{red}2} (x + \Delta x) - {\color{red}2} x}{\Delta x} $

Answers

Answer:

2x - 2

Step-by-step explanation:

Here is the completer question

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Solution

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Expanding the brackets, we have

lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx

Collecting like terms. we have

lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x  + 2x + 3 - 3)]/Δx

Simplifying, we have

lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx

lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx

Dividing through by Δx, we have

lim as Δx → 0 [2x - 2 + (Δx)]

Inserting Δx = 0, we have

= lim as Δx → 0 (2x -2 + 0)

= 2x -2

So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2

A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing

Answers

Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

[tex]\frac{1}{90}=\frac{x}{45000}[/tex]

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

Thus,

the drawing's field is 500cm or 5m long.

Hope this helps :)

How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution

Answers

Answer:

work is shown and pictured

Please help me! I am struggling

Answers

Answer:

Oh man! I totally understand why you are struggling!

Step-by-step explanation:

You want the textbook or the cheat sheet?

Lets go with the cheat sheet.

So, notice the line segments, correct?

The way to find those is Pythagorean Theorem.

The squares of the legs of the triangle add up to the length of the hypotenuse squared. Imagine that the lengths of the sides ARE Hypotenuses. Then, form a triangle, with the legs (Other sides of the triangle except the hypotenuse) either vertically or horizontally(I explain it better below).

In other words, we need to create a right triangle with AB as the hypotenuse to use Pythagorean Theorem. How do we do that?

Count the number of units both vertically and horizontally from point A to B. Essentially, make a horizontal line segment starting at A, and stop it over B. Then, make a vertical line that goes down to B from that ending point (Remember to count the number of units along the way).

Those are your legs. Then, use those measurements in the Pythagorean Theorem:

[tex]12^{2} + 8^{2}=AB[/tex]

I'm confident you can solve this! If you know mathematics...

Then, repeat for either AD or BC.

Then, use the formula for area of the Rectangle. How do we know that it is a rectangle? Well, I'm skipping this part because it will take too long to do, but I can explain it later if you want!

Oh, well.

Hope this helps! Stay Safe!  

A farmer has a rectangular piece of land measuring 840 meters by 396 meters. He divides it into equal square plots of equal size. What is the maximum area of one square plot?.......PLLLZZZ HELP

Answers

Answer:

The maximum area of one square plot is 144 [tex]m^2[/tex]

Step-by-step explanation:

Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:

[tex]840=2^3\,*\,3\,*\.5\,*\,7\\396=2^2\,*\,3^2\,*\,11[/tex]

therefore, both numbers can be divided by [tex]2^2\,*\,3=12[/tex]

Which then gives:

[tex]\frac{840}{12} =70\\\frac{396}{12} =33[/tex]

Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.

Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m

That is smaller plots of a total area 144 square meters

Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answers

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

Other Questions
In randomized, double-blind clinical trials of Prevnar, infants were randomly divided into two groups. Subjects in group 1 received Prevnar, while subjects in group 2 received a control vaccine. Aft er the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the =0.05 level of significance? Which details show that the author's purpose is toinform the reader about how humble and thankful Bindiis? Check all that apply.Bindi was nominated for two Daytime EmmyAwards.Bindi was amazed that she had won.Bindi said she was grateful for the life she got tolive every day."Bindi said, I am the luckiest kid in the world!"Bindi was nine when she won an Emmy. In 1967, Milton Glaser designed a poster to accompany an rock album. The singer was presented in silhouette with brightly colored hair patterns inspired by art nouveau sources. Nearly six million copies of the poster were produced for inclusion in the best-selling record album. Who was the singer/band featured Evaluate 3(4 - 2)2A. 108 B. 36 C. 12D. 100 The following information is from the annual financial statements of Raheem Company. Year 3 Year 2 Year 1 Net sales $ 308,000 $ 239,000 $ 289,000 Accounts receivable, net (year-end) 37,700 35,500 32,200 (1) Compute its accounts receivable turnover for Year 2 and Year 3. (2) Assuming its competitor has a turnover of 12.6, is Raheem performing better or worse at collecting receivables than its competitor? Better Worse if the denominator of a fraction is multiplied by 2,the value of the fraction is What listening strategy would you recommend to your friend who seems to be practicing selective listening because he can't seem to pay attention in his interpersonal communication class as his mind and attention often wander ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions. You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money on the first two days and lose money on the third day A compound decomposes with a half-life of 8.0 s and the half-life is independent of the concentration. How long does it take for the concentration to decrease to one-ninth of its initial value What is the major organic product obtained from the following sequence of reactions? PhCH2CHO PhCH2CH2CHO PhCH2CH2COOH PhCH2COOH felice has a scar on her arm that happened when she broke a glass at the age of 3. at the age of 8, she asked her mom why she has a scar, and her mom responded that she was bitten by the neighbor's dog. since then, whenever she is asked about the scar, she has a distinct memory of what happened on the day the dog bit her (even though this never happened). this illustrates: the equipotentiality hypothesis the encoding specificity principle the misinformation effect levels of processing theory What long-term effects did imperialism have on African nations? Based on the data, which is the best conclusion about the importance of the Second Amendment to a voters choice of candidate? The scores on an entrance exam to a university are known to have an approximately normal distribution with mean 65% and standarddeviation 7.1%. What is the standardized score for a student who scores 60% on this test?on 70 One of the characteristics of positive energy is that it A person standing 180m from the foot of a high building claps hihand and hears the echo 0.03minutes later. What is the speedsound in air at that temperature?A) 331m/sB) 240m/s C) 200m/s D) 300m/s Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph. 12. What is mGEA? Beth says that the graph of g(x)=x-5+1 is a Translation of 5 units to the left and 1 unit up of F(x)=x She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain