HELP ON A TEST
A triangle has side lengths 15, 36 and 39 inches. Which of the following statements are true? Mark all that apply.
The triangle is a right triangle.
The triangle is a Pythagorean triple.
The triangle's hypotenuse is 39 inches.
The triangle is not a Pythagorean triple.

Answer:

y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) has the same graph of y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) ⇒ 3rd answer

Step-by-step explanation:

Let us revise the rules of the trigonometric compound angles

cos(x + y) = cos x cos y - sin x sin y

sin(x + y) = sin x cos y + cos x sin y

Let us solve the problem using the rules above

y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] )

∵ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = 2[cos x cos [tex]\frac{\pi }{4}[/tex]  - sin x sin [tex]\frac{\pi }{4}[/tex] ]

∵ cos [tex]\frac{\pi }{4}[/tex]  = [tex]\frac{\sqrt{2}}{2}[/tex]  and sin [tex]\frac{\pi }{4}[/tex]  = [tex]\frac{\sqrt{2}}{2}[/tex]  

- Substitute them in the right hand side

∴ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = 2[ [tex]\frac{\sqrt{2}}{2}[/tex] cos x  -  [tex]\frac{\sqrt{2}}{2}[/tex] sin x]

- Multiply the bracket in the right hand side by 2

∴ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x

∴ y = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x

Now let us find the function which give the same right hand side of the function above

y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] )

∵ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = 2[sin x cos [tex]\frac{3\pi }{4}[/tex]  + cos x sin [tex]\frac{3\pi }{4}[/tex] ]

∵ sin [tex]\frac{3\pi }{4}[/tex]  = [tex]\frac{\sqrt{2}}{2}[/tex]  and cos [tex]\frac{3\pi }{4}[/tex]  = [tex]-\frac{\sqrt{2}}{2}[/tex]  

- Substitute them in the right hand side

∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = 2[ [tex]-\frac{\sqrt{2}}{2}[/tex] sin x  + [tex]\frac{\sqrt{2}}{2}[/tex] cos x]

- Multiply the bracket in the right hand side by 2

∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) =  [tex]-\sqrt{2}[/tex] sin x  + [tex]\sqrt{2}[/tex] cos x

- Switch the two terms of the right hand side

∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) =  [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x  

∴ y =  [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x

- The same with right hand side of the function above

∴ y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) has the same graph of y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] )

Answer:

y=2sin(x+3pi/4)

Step-by-step explanation:

Answer C

Answer:

A; D; A; C; C

Step-by-step explanation:

1. S29 means the sum of the first 29 terms. Because it's an arithmetic sequence, the sum of the first x terms is (the first term + xth term)(x)/2

That means the answer to the first question is (7+70)(29)/2 = 1116.5 (A)

2. The sum of the first 18 terms is (56 + 5)(18)/2 = 549 (D)

3. The common difference is 3.5, making the 26th term 87.5. That makes the sum of the first 26 terms (7+94.5)(26)/2 = 1319.5 (A)

4. The question is asking for the sum of the first 28 terms. The first term is 50-4(1) = 46. The 28th term is 50-4(28) = -62. That makes the sum of the first 28 terms (46+(-62))(28)/2 = -224 (C)

5. The first x terms of a geometric sequence is the (first term - (x+1)th term)/(1-(ratio)).

That makes the sum ((1/3)-(729))/(1-3) = -(2186/3)/-2 = 1093/3 = 364 1/3 (C)

Answer:

120

Step-by-step explanation:

Answer:

2044 cups

Step-by-step explanation:

In a quart, there are 4 cups:

1 quart = 4 cups

In 512 quarts, there will be:

4 * 512 cups = 2048 cups

If only 4 cups remained after watering, then the number of cups used to water the plants is:

2048 - 4 = 2044 cups

7-18

18 cups is correct cuz 5/12 in quarts well in the 1st place 4 cups go into a quart then u gatta figure out 4x4=16 and then the 12 at 5/12 add them cuz u got 2 and im pretty sure ull get 7-18

HOPE IT HELPED :D :D

Answer:

Step-by-step explanation:

We would section the bread into a cuboid at the bottom and a semi cylinder at the top.

Considering the bottom, the formula for determining the volume of a cuboid is expressed as

Volume = length × width × height

Therefore,

Volume = 20 × 11 × 6 = 1320 cm³

Considering the semi cylinder,

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder.

π = 3.14

Looking at the diagram,

Height = 20 cm

Diameter = 11 cm

Radius = diameter/2 = 11/2 = 5.5 cm

Since it is a semi cylinder, then

Volume = 1/2 × 3.14 × 5.5² × 20 = 949.85 cm³

Therefore, volume of this loaf of bread is

1320 + 949.85 = 2269.85 cm³

Answer:

4

Step-by-step explanation:

(x+8)(8) = (10+6)(6) -->

8x + 64 = 60 + 36 -->

8x = 32 -->

x = 4

Answer:

what is the question

Step-by-step explanation:

Answer:

40615

Step-by-step explanation:

Note, rounding off decimals involves observing if the said decimal is up to the value of 5. If it is, then it can be rounded up, if not, its rounded off.

Since we need to round the numbers to the second decimal before performing the operation, we will have, 8123÷0.2

Note, 8123 has no decimal so we ignore

But 0.211 has a second decimal which is the first 1 so because it's not up to 5, we round it off to 0.

Hence we have 8123 ÷ 0.2= 40615.0

Since our answer has no decimal, we leave it like that.

Answer:

38680.95

Step-by-step explanation:

Solution:-

- We will round the denominator of the fraction " 0.211 " to two decimal places.

                               0 .  2      1        1

                                    1st   2nd   3rd

               3rd digit = 1 < 5  ... "Truncate the 3rd decimal value and on wards"

                       ans:  0.21

- Now perform the division:

                               8123 / 0.21 = 38680.95238

- Now again round the resulting answer to 2nd decimal place:

                       38680.  9      5       2

                                    1st   2nd   3rd

               3rd digit = 2 < 5 ... "Truncate the 3rd decimal value and on wards"

- The resulting answer will be after rounding to 2nd decimal place:

                  Answer: 38680.95

Answer:r=400 because the x is 72(6)

Step-by-step explanation:

Answer: It is within 2 standard deviations of the mean

Step-by-step explanation:

Answer:

66 in total. 44 boys and 22 girls

Step-by-step explanation:

you have to multiply 22 by 2 because there is twice as many (half of two is one) boys than there is girls.

Answer:

66

Step-by-step explanation:

There is a 2:1 ratio of boys to girls, and there are 22 more boys than girls. We can assume that 2/3 of the class are boys while 1/3 of the class is girls.

The difference between the two is 1/3. This can be found by taking away the smaller of the two from the larger, in this case it's 2/3 - 1/3. Removing the third, it's 2-1 which can be done by multiplying the two fractions by three. If we add the third back by dividing by three, we get 1/3.

This means that 22 people must be equivalent to 1/3 the total class' population. If x/3 = 22, then 22 * 3 must be x.

22 * 3 = 66, so there must be 66 students in the class.

Answer:It would be A. $19x + $160 < $635

Step-by-step explanation:

Given:

Given that we need to determine the value 0.15 of $2 dollars.

Value:

Let us determine the value of 0.15 of $2 dollars.

Value of 0.15 of $2 dollars can be determined by multiplying 0.15 by 2.

Thus, we have;

[tex]0.15 \times 2[/tex]

Multiplying the values, we get;

[tex]0.3[/tex]

Thus, the value of 0.15 of $2 dollars is 0.3 dollars.

Answer:

$0.30

Step-by-step explanation:

0.15 of $2

of is multiplication

0.15 × 2

0.3

Answer:

2.64575131106 2.6457513110645905905016157536392604257102591830824501803683344592010688232302

83627760392886474543610615064578338497463095743529888627214784427390555880107722

71715072972832389229968959486508726070097805420372382802371594110034193911600157

85255963059457410351523968027164073737990740415815199044034743194536713997305970

05051399692237545616097119027378154991633288287704000657570674651963497752083793

81811461309087647378659562433057994798128163230705483650107715617946361191553454

53647749482059309049484983403398900210478616673327950369392462257170537164925787

54832290732492671346980298949908037748251109227895568897919808814834090831685251

33535829539172211770714414974576907081989444441458972284741400303502353203719487

07382629318519364090832280596462783761021959794197089096354695861341181793067816

21360849101677835321255633463490021898146042255929503669562418692737327715022087

52309966469813203212818945478568020950635962446628550076190504139350447437123488

52233277362510045059621080672334698120004300514490251206257311759115423194459672

60497833404344683725636178255048160879406205511486397833055016369470076387773745

19511658095220474202064982102444056001996590904100285534069110102261166807200774

83070332613842826296809502470794656496344336830519708820348050486447262317930876

95722489377521119788376007845603903658809421599292501057753682356001720074065236

92473209967419778002535708540617794442886681589731184938101638162073015642647016

29841099690071341323798188477647769954391111945967670336972452475367740100245826

51593077528163005479339717508017899520565284447796194304512502890432970610508746

04492966897542257133380633247034508888234275409806214511439553803393190705392738

14520604335238180389333294731479058055670704161068722878104529957696633035133295

04704245502510500789645502552271857923370921821991843932537781386785650143790894

13002099040860186605228131329821735251716419633617853080179022873400337109527257

36428650922035916343820273976336550966714177816292894279884853951076819102168116

99677176780863793410667897509217050421558644370687652934899322442240273649792906

66842070305782257110537944215790013280304078494579431518120466309284152592404683

65282802722458530778415894238973955590959563491357495109757674781975590533726939

36521431268222909570986506137179452721677198255442288046052307455488310813325041

49932783468182066583447383366862454456169497251774270254688591746231942309355060

38899235355634465872922507362228284298215287903623847595555861643755472027361518

00826144981691174794610631845652307625691344410868551999982851633960745717970829

72776495645142655658205126240305961633868338746134237463526431296594527010213721

72174899143552932049575097114259427207988929665230498875939525378121455723193310

30690840194942118708515205734116214105775416917245804962369512932926647583857193

34312550616097509003957512063487575979549295499224726634074018815634940531052960

4465875564620943Step-by-step explanation:

Answer:

B=62, a=3.7, C=7.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter = 48 feet

2*(length + width) = 48

2*(9 + width ) = 48

Divide both sides by 2.

9 + width = 48/2

9+width = 24

Subtract 9 from both sides.

9+width - 9 = 24 - 9

Width = 15 feet

Answer: The 18 pint bucket.

Step-by-step explanation: If you convert all of the units to gallons, you will find that the 7 quart bucket contains 1.75 gallons and the 18 pint bucket contains 2.25 gallons. Since 2.25 is the greatest amount, the 18 pint bucket contains the most water.

Answer:

It is opposed by the vasa recta.

Step-by-step explanation:

Question:

Which of these is not a property of the renal counter-current multiplier?

It is opposed by the vasa recta.

It exploits the structure of the nephron loop.

It depends on active ion transport to function.

It creates a hyperosmotic interstitial fluid in the kidney medulla.

Answer:

The correct option is;

It is opposed by the vasa recta

Step-by-step explanation:

Counter current multiplication is the process whereby energy is used to build osmotic pressure gradient in the kidney such that water is reabsorbed from the exit tubular fluids reducing the volume of produced urine by increasing the urine concentration while the vasa recta capillaries slows blood flow rate so as to keep the osmotic pressure gradient constant enabling water to be reabsorbed thus concentrating the urine in line with counter current multiplication.

Answer:

3 : 2

Step-by-step explanation:

Note that the ratio of perimeters is equal to the ratio of the sides, thus

ratio of corresponding sides = 12 : 8 = 3 : 2

Thus the ratio of perimeters is 3 : 2

The ratio of their perimeters is 3 : 2

Since the ratio of perimeters is equivalent to the ratio of the sides,

So,

ratio of corresponding sides = 12 : 8 = 3 : 2

Thus the ratio of perimeters is 3 : 2

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Question:

a. College GPA

b. Richter Scale

c. Acidity/Alkalinity

d. Compound Interest

e. Amortization Schedule

Answer:

The correct two options are;

b. Richter Scale

c. Acidity/Alkalinity

Step-by-step explanation:

Here we have

b. The Richter Scale, given by the following relation;

[tex]M = log(\frac{I}{I_0} )[/tex]

M = Earth quake magnitude

I = Earthquake intensity

I₀ = Earthquake intensity of magnitude 0

Comparing two Earthquakes, A and B, we have

[tex]M_A - M_B = log(\frac{I_A}{I_B} )[/tex]

c. Acidity/Alkalinity are determined by the pH of the solution, which is the negative logarithm of the hydrogen ion concentration

pH = -log₁₀ [H⁺].

Answer: It’s an arithmetic sequence

g(n)=50-3•(n-1)

Step-by-step explanation:

Answer:

it’s a arithmetic sequence and answer is 50-3(n-1) please give brainliest anyway bye have a good day but I don’t think u are because u probably bored of khan academy anyway bye have a good day! :D

Step-by-step explanation:

Answer:

its A,C,E

Step-by-step

i got it right on edge

Brooklyn has $18 now.

The correct steps are given below.

Two algebraic expressions having same value and symbol '=' in between are called an equation.

Given:

Brooklyn needs to earn $14 more dollars to have $32.

Let m be variable, which is equal to the amount of money Brooklyn has now.

The equation is,

14 + m = 32.

To solve the equation:

Subtract 14 from both sides.

We get,

m = 18

Therefore, the value of m is 18.

To learn more about the equation;

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Answer:

13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution

Step-by-step explanation:

The pool company recommendation is 20 cups of 73% chlorine to treat their pool

Concentration of chlorine solution in stock = 80% and 60%

Therefore to make 20 cups of 73% solution, we require;

X cups of the 80% chlorine solution and

Y cups of the 60% chlorine solution

That gives 0.8·X + 06·Y = 0.73 × 20

X + Y = 20

Solving gives X = 13 cups

and Y = 7 cups

Therefore to  make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.

The gender that shows greater variability in their playing time is females (teen girls).

It may depend on conditions. The dispersion can be measured in many ways. We can find range (max value - min. value), or interquartile range(the absolute difference between the first and third quartile ), etc to measure the variability.

A box plot has 5 data description.

IQR(inter quartile range)  is the dfference between third and first quartile.

We will use the interquartile range here to find the variability in the playing time taken by different genders.

From the box plots given, we get the data of first and third quartiles from the left and right limits of boxes.

For males (teen boys):

IQR is 17-9 = 8

For females (teen girls):

IQR is 15-3 = 12

Thus, there is greater variability in playing time of teen girls (females).

Thus, the gender that shows greater variability in their playing time is females (teen girls).

Learn more about box-plot here:

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Girls have a larger interquartile range (IQR), indicating more varied playing times compared to boys.

Let's break down the analysis in detail:

1. Interpretation of Box-and-Whisker Plots:

  - Box-and-whisker plots provide a visual representation of the distribution of a dataset. They show the median, quartiles, and range of the data.

2. Understanding Interquartile Range (IQR):

  - The interquartile range (IQR) is a measure of statistical dispersion, which is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1). It represents the spread of the middle 50% of the data.

  - A larger IQR indicates greater variability in the dataset.

3. Comparison of IQRs for Boys and Girls:

  - For boys:

    - Lower quartile (Q1) = 9

    - Upper quartile (Q3) = 17

  - IQR for boys = Q3 - Q1 = 17 - 9 = 8

  - This means that the middle 50% of boys' playing time falls within the range of 8 hours.

  - For girls:

    - Lower quartile (Q1) = 3

    - Upper quartile (Q3) = 15

  - IQR for girls = Q3 - Q1 = 15 - 3 = 12

  - This indicates that the middle 50% of girls' playing time spans a range of 12 hours.

4. Analysis and Conclusion:

  - The interquartile range for girls (12 hours) is larger than that for boys (8 hours).

  - Therefore, girls' playing time exhibits greater variability compared to boys'.

  - This suggests that there is more diversity in the amount of time girls spend playing video games each week, as indicated by the wider spread of their data points around the median.

5. Reasoning Behind the Conclusion:

  - While both groups have the same overall range of possible values (from 0 to 28 hours), the spread of data within the middle 50% (as captured by the IQR) is wider for girls, indicating greater variability in their playing time.

So, based on the analysis of the interquartile ranges, we conclude that girls show greater variability in their playing time compared to boys in this dataset.

To find y:

[tex]3y-14=180[/tex]

[tex]3y=194[/tex]

[tex]y=64.7[/tex]

To find z:

[tex]180 - 64.7 = z[/tex]

[tex]z = 115.3[/tex]

Answer:

The answer is for sure x = 9

Answer:

x=9

Step-by-step explanation:

Answer:

331.25

Step-by-step explanation:

First you want to find how much each class cost. So first you want to divide $198.75 by 15 and you will get 13.25. Once you do that you will multiply              13.25 by 25 to get 331.25. Your welcome.

Answer: The chance of Elisondra getting picked is 25%

Step-by-step explanation:

Now you spin the spinner and whoever it lands on is the one who orders first.

Good Luck!

Answer:

It depends if Elisondra and her friend's share of the wheel is the same but if it is the same, then it is a 1/4 chance because there are 4 people.

Answer:

P(blue and green) = P(blue)*P(green) = (5/8)(2/8) = 10/64

The probability that the first ball is blue and the second is green, with no replacement, is approximately 0.179 or 17.9%.

The subject of this question pertains to probability, specifically the concept of dependent events in the realm of combinatorics. The problem involves an urn with 8 balls of different colors. The question asks us to find the probability that a blue ball is drawn first and a green ball second, with no replacement.

Firstly, we calculate the individual probabilities. The probability of drawing a blue ball first is 5/8, because there are 5 blue balls out of a total of 8. Since the blue ball isn't replaced, there are now 7 balls left in the urn, and therefore, the probability of drawing a green ball next is 2/7. To find the combined probability, we multiply the individual probabilities: (5/8) * (2/7) = 10/56 = 0.1786 (rounded). So the probability that the first ball is blue and the second is green is approximately 0.179 or 17.9%.

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Answer:

37.699cm

Step-by-step explanation:

thank me and rate!!! plz thank you :)