Which measurements of triangle BAC are correct

Which Measurements Of Triangle BAC Are Correct

Answers

Answer 1

The measurements that are correct for the given triangle are

sin C = 9/15

B ≈ 53.13°

Trigonometrical ratios

From the question, we are to determine which of the given trigonometrical ratios for the given triangle are correct

The given triangle is a right angle triangle

Using SOH CAH TOA

sin C = 9/15

∴ The option sin C = 9/15 is correct

Also,

Using SOH CAH CAH

tan B = 12/9

∴ The option tan B = 9/12 is NOT correct

To determine the measure of angle B (m ∠B)

From tan B = 12/9

Then,

tan B = 1.33333

B = tan⁻¹(1.33333)

B ≈ 53.13°

Thus, the option B ≈ 53.13° is correct

Hence, the measurements that are correct for the given triangle are

sin C = 9/15

B ≈ 53.13°

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Related Questions

Write 304.9% as a decimal.

Answers

Answer:

3.049

Step-by-step explanation:

Move the decimal place in 304.9% to the left two places in order to convert from a percentage to a decimal. 3.049 is the answer.

Brainliest, please :) Hope this helps!

3.049 There are three decimal places. You plug in 304.9 times .01 in the calc and hit enter!

Jack and Serena can write a lab report together in 12 hours. If all people work at the same rate, how many hours would it take to write a lab report if Kay joins Jack and Serena?

Answers

The answer would be 4 hours because 12/3 is 4

11/6 + -2/5 +-13/10?

Answers

Answer:

2/15

Step-by-step explanation:

11/6 + -2/5 +-13/10?

11/6 + (-2/5) + (-13/10)

43/30 - 13/10

2/15

The time allotted for the Math test for 2 3/4 hours. Emma completed the test 1/2 of an hour earlier. How long did it take Emma to complete the test?

Answers

2 3/4h=2.75h
1/2h=0.5h
2.75h-0.5h=2.25
2.25h=2 1/4h


Or


1/2h•2=2/4h
2 3/4h-2/4h=2 1/4h

It took Emma 2 1/4 hours to complete the test.

There 13 yellow cards, 6 blue, 10 red, 8 green cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find P(2 blue cards). Please be specific with your answer.

Answers

Answer:

5/222

Step-by-step explanation:

you need to add all the cards together first

13 + 10 + 8 + 6 = 37

then you take out 1 card to find the first probability of the blue card (there are 6 blue cards out of 37)

so 6/37

that will be your first probability

then for the 2nd probability, you will have 1 less card grom the deck making it only 36 cards (after taking out the first one, there will be only 5 blue cards left)

making it 5/36

that will be the 2nd probability

then you multiply both these probabilities to find the answer

6/37 × 5/36 = 5/222

Determine the seating capacity of an auditorium with 15 rows of seats if there are 25 seats in the first row, 29 seats in the second row, 33 seats in the third row, 37 seats in the forth row, and so on

Answers

Answer:

Step-by-step explanation:

15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.

1-25

2-29

3-33

4-37

5-41

6-45

7-49

8-53

9-57

10-61

11-65

12-69

13-73

14-77

15-81

Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795

So there are 795 seating capacity.

uhh so i totally forgot but are negative numbers smaller than positives and lets say -1.8, -9, -4.2 which would be bigger

Answers

Answer:

-1.8

Step-by-step explanation:

its bigger than -9 and -4.2

-1.8 would be bigger

For a pair of sample​ x- and​ y-values, the​ ______________ is the difference between the observed sample value of y and the​ y-value that is predicted by using the regression equation.

Answers

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

What is the difference between the observed sample value of Y and the Y value that exists as predicted by utilizing the regression equation?

In regression analysis, the distinction between the observed value of the dependent variable and the predicted value exists named the residual.

A regression equation exists utilized in stats to estimate what relationship if any, exists between sets of data.

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

Residual = observed y - predicted y.

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The diagonal is a of a rectangular field is 169m. If the ratio of the length to the width is 12:5 find the dimensions

Answers

Based on the calculations, the dimensions of the rectangle are

Length, L = 156 meters.Width, w = 65 meters.

What is a diagonal?

The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:

d = √(l² + w²)

Where:

d is the diagonal of a rectangle.l is the length of a rectangle.w is the width of a rectangle.

Since the ratio of the length to the width is 12:5, we have:

Width, w = 5l/12

Substituting the given parameters into the formula, we have;

169 = √(l² + (5l/12)²)

169² = l² + (5l/12)²

169² = l² + (25l²/144)

Length, L = 156 meters.

For the width, we have:

Width, w = 5l/12

Width, w = 5(156)/12

Width, w = 65 meters.

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3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____. 78 6 -6

Answers

The supplied lines' point of intersection has the x coordinate  is 6.

What is coordinate geometry?

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

The x coordinate of the location where the ensuing lines intersect must be chosen.

3x + 5y = 78 ...........................(1)

2x - y = 0 ...............................(2)

The given system of equations must be solved in order to determine the x coordinate of the site of intersection.

Equation (ii) provides us with

2x = y

y = 2x ........................(3)

Equation I yields the result when the value of y from equation (iii) is substituted.

3x + 5(2x) = 78

3x + 10x = 78

13x = 78

x = 78/13

x = 6.

As a result, the supplied lines' point of intersection has the x coordinate  6.

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I understand that the question you are looking is :

3x 5y = 78 2x - y = 0 the point of intersection of the lines has an x-coordinate of _____.

A.  7

B.8

C. 6

D. -6

if you rolled two dice what is the probability that you would roll a 4 or a 5

Answers

Hello there! Given that normal dice are numbered 1-6, individually rolling a 4 or a 5 would give a 1/6 probability. That converts to about 17% as a percentage because we can multiply 1 by 100 to get 100/6, then divide 100 by 6 to get 16.6666. When rounding, that gives approximately 17%. However, if we combined probabilities, we would find that rolling a 4 or a 5 collectively gives a 2/6 probability, which is approximately 33% as a decimal.

In terms of individual probabilities, you would be 17% likely to roll one of them. In terms of collectiveness, the likelihood of rolling a 4 or 5 would render 33% on each die. If you need additional help, let me know and I will gladly assist you.

What is the solution to 3/2b + 5 < 17? Explain How.
(1) b < 8

(2) b > 8

(3) b < 18

(3) b > 18

Answers

3/2b + 5 < 17

We subtract 5 from both sides of the inequality.

3/2b + 5 - 5 < 17 - 53/2 b < 12

Multiply both sides by 2/3.

( 2/3) * (3/2b) < (2/3) * 12b < 8

Therefore, the correct option is alternative "A".

We would think that it is option B, but the only difference is that it changes the direction of the sign.

Answer:  [A]: " b < 8 " .
_____

Step-by-step explanation:

Given:
Find the solution to:   " 3/2b + 5 < 17 " ; and choose from the answer choices.

So; we have:  

 (3/2)b + 5 < 17  ;

 Now, subtract "5" from each side of this inequality:
 (3/2)b + 5 − 5  <  17 − 5  ;

   To get:
  (3/2)b  <  12 ;

Now, let's multiply Each Side of this inequality by "2" ;

 to get rid of the fraction:

    "  2*(3/2)b  <   12*2 "  ;

{Note: " [tex]2 *\frac{3}{2}=\frac{2}{1}*\frac{3}{2}[/tex] " } ;

Note:  To simplify:  " [tex]\frac{2}{1} * \frac{3}{2}[/tex] " ;
   Note the "2" in the denominator in the "first term" ;  

   And:  The "2" in the denominator in the "second term" ;

      Both "cancel out" to "1" ;  since:  "[ 2 / 2 = 2÷2 = 1 ]" ;

   And:  we have:  " [tex]\frac{1}{1}*\frac{3}{1}= 1 *3 = 3[/tex] " };

_____
and rewrite:
   " 3b < 24 "  ;

Now, divide Each side of the inequality by "3" ;

 to isolate "b" on one side of the inequality;

and to solve for "x" ;
_____
 " 3b/3 < 24/3 " ;

 to get:

_____

   " b < 8 " ; which corresponds to the correct answer:

Answer choice:  [A]:  " b < 8 " .
_____

Hope this is helpful to you! Best wishes!
_____

Question 9 of 25 a bookstore costs $105 a day to keep open, and it spends $12 for each book that it sells. if each book sells for $15, what is the break-even point for this bookstore?

Answers

The store will break even after selling 35 books.

What is the break-even point?The break-even point is the moment at which total cost and total revenue are equal, implying that your small firm has no loss or benefit. In other words, you've reached the point where the costs of production equal the revenues for a product.

To find  what is the break-even point for this bookstore:

Given:

The cost required per day to keep the store open = $105Amount spent on each book = $12

Let, n be the number of books.

Total costs = 12n + 105

The selling price of each book = $15

Total revenue = 15n

For breaking even, costs = revenue.

12n + 105 = 15n105 = 15n - 12n105 = 3n3n = 105Dividing both sides by 3:3n/3 = 105/3n = 35

Therefore, the store will break even after selling 35 books.

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find the length of MN​

Answers

Answer:

The length of MN is 5 cm

Step-by-step explanation:

Add the segment LX, parallel to QP.

Recall the properties of midsegment:

Midsegment is parallel to side,Midsegment is half the length of the parallel side.

We have:

Since QL = LR, the point L is midpoint of Q,Since PN = NL, the point N is midpoint of PL,Since LX is parallel to QP, LX is midsegment of ΔPRQ.

Find the length of LX:

LX = QP/2 = 20/2 = 10 cm

Since QP ║ LX ║ NM, the segment NM is the midsegment of ΔPLX.

Find the length of NM:

NM = LX/2 = 10/2 = 5 cm

Someone please explain.50 points available.Thankyou so much!

Answers

Answers:

a) 49 square tiles - did the work on paper.

b) 83 circular tiles - did the work on paper.

c) C: could be even or odd - all patterns had both even and odd amounts of square and circular tiles.

Step-by-step explanation:

I did all the work on paper it took a while to do it. pls mark brainliest

O Yes
O No
2. (02.01 LC)
Is the following relation a function? (1 point)
{(3,-2), (1, 2), (-1,-4), (-1, 2)}

Answers

Answer:

no

Step-by-step explanation:

In a function, each "x" value [input] must have only one corresponding "y" value.

We know that points are written as (x, y)

Our points: {(3,-2), (1, 2), (-1,-4), (-1, 2)}

We can see that the x-input of -1 has two y-outputs, so this is therefore not a function

hope this helps! have a lovely day :)

Find the surface area of the composite figure.
8 cm
6 cm
7 cm
8 cm
SA =
6 cm
[?] cm²
9 cm
6 cm

Answers

Answer:

382 cm²

Step-by-step explanation:

Front face + Back face:

A = 2(a + b)h/2

A = 2(14 cm + 8 cm)(7 cm)/2

A = 154 cm²

Left face:

A = 7 cm × 6 cm = 42 cm²

Right face:

A = 9 cm × 6 cm = 54 cm²

Bottom face:

A = 14 cm × 6 cm = 84 cm²

Top face:

A = 6 cm × 8 cm = 48 cm²

Total surface area =

= (154 + 42 + 54 + 84 + 40) cm²

= 382 cm²

Which of the following is a monomial? O A. 11x-9 OB. 20x9 OC. 20x⁹ - 7x O D.9/x

Answers

Answer:

B. 20x⁹

Step-by-step explanation:

A monomial is a polynomial with just one term.

Example: 3x²

A. 11x - 9

INCORRECT, this has two terms 11x and 9

B. 20x⁹

CORRECT, this only has one term!

C. 20x⁹ - 7x

INCORRECT, this has two terms 20x⁹ and 7x

D.9/x

INCORRECT, this is not a polynomial

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Solve this:
NO INCORRECT or report

Answers

Answer:

D

Step-by-step explanation:

Let x be the first batch

let y be the second batch

y=2x

His brothers each received 9 rolls from the second batch i.e. 9×4=36

So

2x= 36+ (10÷6)x

2x - (10÷6)x = 36

12x-10x = 216

x=108

and y= 2 × 108= 216

The marked price of a mobile set is Rs 9,600 and 40% discount is allowed to make 20% profit. By what percent is the discount to be reduced to increase the profit by 10%?​

Answers

Answer:

5%

Step-by-step explanation:

price after discount :

9 600 - 9 600×40%

= 5760

Original price (price without profit) :

let x be the original price of the device.

x + x × 20% = 5760

Then

x = (5 760×100)÷120

  = 4 800

Original price increased by 30% :

4 800 + 4 800×30%

= 6 240

the discount needed to increase the profit by 10% :

[(9 600-6 240)÷9 600]×100

= 35%

Then

to increase the profit by 10% ,we have to reduce

the percent of discount to :

40% - 35%

= 5%

Simplify the expression 120x^3/18xy

Answers

120 / 18 = 20/3
x^3 / xy = x^2 / y

20x^2 / 3y

Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system? $15.84 $23.76 $39.60 $63.36

Answers

Answer:

$63.36

Step-by-step explanation:

The home audio system costs $264 wholesale.

The system's price had been increased by 60 percent at the electronics retailer.

Consequently, the increased cost is 60/100x264=$158.40.

The audio system's total cost is now $422.40 (264 + 158.40).

Given that Lori received a commission of = 15% on $422.40, her commission is now (15/100) x 422.40

= $63.36

30 POINTSS ABD BRAINLIEST !! Let p be a prime number. Circle one expression below which could also be a prime number.
2p 7p p - 4 p squared

Give a reason for your answer above

Answers

Answer:

p - 4

Step-by-step explanation:

Prime number is a number that only has 2 factors, 1 and the number itself. Therefore, multiplying p by 2 or 7 means giving the number more than 2 factors, which would make the number no longer prime. Squaring the prime number itself does the same.

Let p = 7.

2p = 2*7 = 14                  14 = 1*2*7*14

7p = 7*7 = 49                 49 = 1*7*49

p - 4 = 7 - 4 = 3              3 = 1*3

p^2 = 7^2 = 49               49 = 1*7*49

Make a list of 4 different numbers whose average works up to 50

Answers

Answer is numbers 10, 30, 70, 90

The 4 numbers must be different and added up and divided by 4 must equal 50.

Four such numbers are 10, 30, 70, 90

We all know that Average = Sum / total of numbers in sum

Addition of these different 4 numbers = 200.
Average = 200 / 4 = 50, the required average.
Problem solved!

PLLLLEASE ASAP GUYS PLEASEE OMG

Answers

Answer:

27/30

Step-by-step explanation:

9/10 x3 to both sides = 27/30

Answer:

[tex]\dfrac{27}{30}[/tex]

Explanation:

In a normal fraction such as [tex]\frac{a}{b}[/tex], a is the numerator and b is the denominator.

Here the given fraction is [tex]\frac{9}{10}[/tex], to rewrite the fraction with a denominator of 30. Multiply both the numerator and denominator by 3.

[tex]\rightarrow \dfrac{9}{10}[/tex]

[tex]\rightarrow \dfrac{9\:\times\:3}{10 \:\times \: 3}[/tex]

[tex]\rightarrow \dfrac{27}{30}[/tex]

Both the fractions are equivalent to each other.

q=sqrt (c+d)/(c-d) solve for c

Answers

The equation for the variable 'c' is c = d(q² + 1)/(q² - 1). By using simple arithmetic operations on the original equation, the required equation can be obtained.

What is an equation?

An equation is a relationship between two expressions given by a mathematical statement.

There are different types of equations. They are linear equations, quadratic, polynomial, etc.

Solving for c in the given equation:

The given equation is

q = √((c + d)/(c - d))

Squaring on both, root gets canceled out

⇒ q² = (c + d)/(c - d)

⇒ q²(c - d) = (c + d)

⇒ cq² - dq² = c + d

Separating like terms  aside,

cq² - c = d + dq²

⇒ c(q² - 1) = d(q² + 1)

⇒ c = d(q² + 1)/(q² - 1)

Therefore, the required equation is c = d(q² + 1)/(q² - 1).

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Determine and state the coordinates of the center and the length of the radius of the
circle whose equation is x2 + y2 + 6x = 6y + 63

Answers

we can see that the center is (-3, 3) and the radius is 9 units.

How to find the center and radius of the circle?

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

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Which function has a vertex at the origin?
f(x) = (x + 4)²2
f(x) = x(x-4)
f(x) = (x-4)(x + 4)
f(x) = -x²

Answers

Answer:

f(x) = -x²

Step-by-step explanation:

Writing f(x) = -x² in vertex form gives f(x)=-(x-0)^2+0 which shows that the vertex (h,k) is at (0,0)

The other equations written in vertex form do not have (h,k) = (0,0)

What is the end behavior of the function f of x equals 3 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.

Answers

The function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

What is end behavior?The end behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis. In other words, the end behavior of a function explains the graph's trend when we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ).

To determine the end behavior:

The equation of the function is given as: [tex]f(x)=4\sqrt[3]{x}[/tex]To determine the end behavior, we plot the graph of the function f(x).We can see from the accompanying graph of the function:As x approaches infinity, so does the function f(x), and vice versa.As a result, the function end behavior is:  

[tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

Therefore, the function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

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The complete question is given below:

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.

As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answer:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Step-by-step explanation:

I got it right on the test.

(a) if x is the sample mean young's modulus for a random sample of n = 64 sheets, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?

Answers

The standard deviation of the x distribution is 0.2.

According to the statement

we have given that the the sample n is 64 and we have to find the standard deviation of the given sample.

So, For this purpose, we know that the

The standard deviation of the sample is the standard deviation of population divided by the square root of the length of the sample.

In this problem, we have that the value of alpha is

[tex]\alpha = 1.6[/tex]

Suppose that for aluminum alloy sheets of a particular type,

If X is the sample mean Young's modulus for a random sample of n = 64 sheets, and the standard deviation of the X distribution is given by

[tex]s = \frac{\alpha}{\sqrt{64} }[/tex]

then solve it then the standard deviation

s =  {1.6} / {8 }

s = 0.2

So, The standard deviation of the x distribution is 0.2.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Given that Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively.

a. If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by

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Which statement best reflects the development of the central idea of the text? In photosynthesis, the plant uses energy from the sun, plus water and carbon dioxide, to synthesize ____. Lively or humorous poses were usually reserved in Mayan art for:A. commoners.B. rulers.C. gods.D. priest. Sam met a girl who ignored him the first time they talked. even though the two now talk frequently sam cant let the past go. what is this an example of? When a negotiator adopts a win-lose orientation in which one party necessarily loses when the other party gains, they are using the ____ approach to negotiations. What key technological breakthrough accompanied the transition to the print and electronic eras? why were these changes significant? The table shows the cost of birdseed at the Feed n Seed store. What is the constant of proportionality between the cost and the number of pounds? A table titled Feed n Seed Bird Seed. The table has 2 columns, Pounds and Cost. Row 1 says 5, 2 dollars and ninety-five cents. Row 2 says ten, five dollars and ninety cents. Row 3 says fifteen, 8 dollars and eighty-five cents.A 0.59B 0.60C 1.18D 2.95 When a firm lacks the ability to prevent people from consuming a good or service, the good is called a:________ I need help with my work How does the ability to determine the validity and credibility of a source (a key element of problem solving) help you in your everyday life? When both glucose and lactose are present in the media in which e. coli is growing, which is the preferred carbon source? find the square roots of each of the following number1: 81 2: 100 Write a letter to Common Publications to provide 100 Class 9 Office Operations and Accounting books to your school library. Find the Perimeter of the figure below, composed of a parallelogram and onesemicircle. Rounded to the nearest tenths place414 What is the space between the buyers reservation price and the sellers reservation price called? What roles do leadership, entrepreneurship, and strategy play in good principles of management? A mutation has occurred directly after the start codon within an mrna sequence. which provided mutation will have the most serious effect on the resulting polypeptide? What is a depiction of the meaningful words in some textual data, where the more a specific word appears in the text, the bigger and bolder it appears? What do pomegranates, blackberries, walnuts, green tea and cocoa all have in common? Any change in the air's ________ content could alter temperatures in the lower atmosphere.