The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.


Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?





Answers

Answer 1

Answer:

9/16

see explanation below

Step-by-step explanation:

This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.

When shapes are similar, the ratio of their corresponding sides are equal.

whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.

In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b

and the ratio of the areas of the shape = (a/b)²

Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)

let length larger pyramid = x

length of smaller pyramid = 3/4 x

their ratio (small/big) = (3x/4)/x = 3/4

ratio of their areas = (3/4)²

the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16

Answer 2

Answer:

A.) 9/16

Step-by-step explanation:

Have a great day, and take mental health breaks! You are loved :)

The Two Square Pyramids Are Similar. The Side Length Of The Smaller Pyramid Is The Side Length Of The

Related Questions

What is the effect on the graph of f(x) if it is changed to f(x) + 2 and f(x + 2)?

Answers

Answer:

For f(x)+2, it goes along the y axis, 2 units.

For f(x+2), it goes along the x axis, -2 untis.

Step-by-step explanation:

Can someone pls help will mark u as brainliest

Answers

Answer:

9*((2-1)/9)

or

2 -1

9

2-9 =-7

9. 9

9× -7

9

=-7

2- 3

9. -3

=(1.22222222222)

or

11/9

or

1*(2/9)

Complete the equation so that it is
true for no values of x (no solutions).
3x + 6 = 3 (x + _)

Answers

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)

please heellllpppp ....​

Answers

Answer:

x ≈ 2.3 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × cos55° = x , thus

x ≈ 2.3 cm ( to 1 dec. place )

there are 48 members in a dancing club. the ratio of boys to girls in the club is 3:5 how many boys should join the club for the ratio of boys to girls to be 1:1

Answers

Answer: 12

Explanation:

Find the girls:

48 x 5/8 = 30 girls

Find the boys:

48 x 3/8 = 18

In order for ratio to be 1:1 the amount of boys need to be equal to the girls:

18 + x = 30
x = 12

x = the amount of boys need to join to make the ratio 1:1

Answer:

12

Step-by-step explanation:

If you add the ratio you will get 8 and 1 in the ratio number represents

6 people so 5-3=2

Therefore, the no. of girls minus boys= 6×2=12

so you need 12 more boys to make it to be a ratio of 1:1

Help me please with kim!

Answers

Answer: Kim - Resp after 24 months = $4,416.00

              Kim - Technology Fund after 24 months = $1,120.06

              Kim's Technology Fund has enough money to buy a laptop.

              Kim's Savings (Resp) will last less than 6 months

Step-by-step explanation for Kim:

January - June 2019

$14.50 + 30($0.25) = $22.00/hr

$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income

Resp (15%): $7920(0.15) = $1188CPP(5%): $7920(0.05) = $396EI(2%): $7920(0.02) = $158.40

Taxable Income is $7920 - $1188 = $6732    (Annual Income $13,464)

Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($6732-$4500)(0.08) = $178.56

→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income

Tech Fund (5%): $5999.04(0.05) = $299.95

Food Expense (30%): $5999.04(0.3) = $1,799.71

Clothing Expense (30%): $5999.04(0.3) = $1,799.71

Entertainment Expense (25%): $5999.04(0.25) = $1,499.76

Miscellaneous Expense (10%): $5999.04(0.1) = $599.90      

                                               Other Expenses: $5,699.08

July - December 2019 (excluding August)

$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income

Resp (15%): $6800(0.15) = $1020CPP(5%): $6800(0.05) = $340EI(2%): $6800(0.02) = $136

Taxable Income is $6800 - $1020 = $5780    (Annual Income $12,512)

Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($5780-$4500)(0.08) = $102.40

→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income

Tech Fund (5%): $5201.60(0.05) = $260.08

Food Expense (30%): $5201.60(0.3) = $1,560.48

Clothing Expense (30%): $5201.60(0.3) = $1,560.48

Entertainment Expense (25%): $5201.60(0.25) = $1,300.40

Miscellaneous Expense (10%): $5201.60(0.1) = $520.16      

                                              Other Expenses: $4,941.52

January - June 2020

same as January - June 2019

July - December 2020 (excluding August)

same as July - December 2019

[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]

Which of the following characteristics of experiments are also characteristics of surveys?

Answers

B,C and D maybe . They seem like they make more sense

Answer:

B C E

Step-by-step explanation:

A

P

E

X

What is the total number of common tangents that can be drawn to the circles?

Answers

Answer:

The answer would be zero. This is due to the fact that the tangent is a line on a point around the circle. These two circles share no common tangents.

Step-by-step explanation:

The number of the common tangent to the concentric circles is zero. Option D is correct.

Two concentric circles are given in the figure, and common tangents to the circles are to be determined.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.

Thus, the number of the common tangent to the circles is zero. Option D is correct.

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A circle has an area of 30in². What is the area of a 60° sector of this circle?

Answers

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

after 15 years mary age will be fourtimes of her present age find her present age​

Answers

Her present age would be 5 because 4m=m+5 which would then turn into 3m=15 because you would subtract the m from both sides and end up with 3m+15, then you would divide 3 to both sides which would then give u an answer of m=5

Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?

Answers

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

Answer:

C. x, x/2, x/4, x/8, ...

Step-by-step explanation:

I'm late but it's correct on edg, just did it myself. Hope it helps!

A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?

Answers

Answer:

glide reflection

Step-by-step explanation:

I hope this helps

In △ABC, m∠A=15°, a=10, and b=11. Find c to the nearest tenth.

Answers

Answer:

There are two answers, c=20.2 or c=1.0

Step-by-step explanation:

The value of c is 20.2 units

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.

Law of Cosines Formula

The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:

find a when b, c, and A are given (or)find b when a, c, and B are given (or)find c when a, b, and C are given (or)

find any angle of the triangle when a, b, and c are given.

There are three laws of cosines and we choose one of them to solve our problems depending on the available data.

a2 = b2 + c2 - 2bc·cosAb2 = c2 + a2 - 2ca·cosBc2 = a2 + b2 - 2ab·cosC

As,

m∠A=15°, a=10, and b=11.

Now, using cosine rule

cos A = b² + c² - a²/ 2bc

cos 15 = 121+ c²-100/22c

0.96 = 121+ c²-100/22c

21.25 c = 21 + c²

21 + c² - 21.25 c=0

By solving the quadratic equation

c=20.2 units.

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A supermarket sells fruit snacks by the box. Each box holds x packages of strawberry snacks and y packages of cherry snacks. Nina bought 6
boxes.
Write two expressions for how many more strawberry packages than cherry packages Nina bought. Then, write what the two expressions
being equivalent means in terms of the situation.
( PLZ I NEED HELP WITH THIS !)

Answers

Answer:

The two equivalent expressions are 6(x − y) and 6x − 6y.

Step-by-step explanation:

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.

Have a good day!<3

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;

6(x-y)

Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;

6x - 6y

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

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Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters. Which measurement does 8 square meters represent?

Answers

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

What is a Theorem? PLEASE HELP!! a A known fact. b Information that seems true but must be proven. c A definition. d A formula.

Answers

Answer:

D. A formula

Step-by-step explanation:

If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.

In the supermarket a loaf of bread costs 37p how many loaves can david buy with a 2 coin ? How much money will be left over?

Answers

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a [tex]\pounds 2[/tex] coin?

Since [tex]\pounds 1=100\text{ pence}[/tex]

Then, [tex]\pounds 2=200\text{ pence}[/tex]

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

[tex]=5\dfrac{15}{37}[/tex]

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

This is the graph of y = sin(x). Does anyone know the second part?

Answers

Answer:

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Step-by-step explanation:

The resulting function is of the form:

[tex]y = A\cdot \sin x + k[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]A[/tex] - Amplitude, dimensionless.

[tex]k[/tex] - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:

[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]

If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:

[tex]A = 5[/tex]

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Answers for whole assignment:

(starting after this question)

2) graph 2

3) Minimum: -4

Maximum: 4

Amplitude: 4

zeros: 2nd and 3rd option

4) 2nd graph

5) range of y = sin(x)?

1st one

range of y = 3sin(x)?

2nd one

range of y = –3sin(x)?

2nd one  

range of y = –3sin(x) – 2?

3rd one

6) graph 1

7) graph 3

8) amplitude = 2

midline y = 4

3rd option

9) 2nd option

10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down.  The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1.  The maximum of y = –2sin(x) – 1  is 1, the minimum is –3, and the amplitude is 2.

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two red cards in succession from a standard deck of 52 cards without replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Answers

Answer:

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]

[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]

[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]

Thus the probability for all the three cards are face card

[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

[tex]E=20\times 0.9901-50\times 0.0099[/tex]

E=$19.307

Therefore the answer will be $19.307.

find the 10th term of the following sequences T(2)=20 and the term-to-term rule is subtract 6​

Answers

Answer is   -28

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

Work Shown:

T(2) = 20 means the second term is 20

T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.

Since a = 26 is the first term and d = -6 is the common difference, the nth term is

T(n) = a + d*(n-1)

T(n) = 26 + (-6)(n-1)

T(n) = 26 - 6n + 6

T(n) = -6n + 32

Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.

Plug in n = 10 to find the tenth term

T(n) = -6n + 32

T(10) = -6(10) + 32

T(10) = -60+32

T(10) = -28

Answer:

-28.

Step-by-step explanation:

T(1) = 20 + 6 = 26.

This is an arithmetic series  with:

nth term T(n) =  26 - 6(n - 1).

So T(10) = 26 - 6(10-1)

= 26 -54

= -28.

HELP !! The equations of three lines are given below.
Line 1: 10x - 6y=8
Line 2: 3y = 5x +7
Line 3: y=5/3x -8
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answers

Answer:

1 neither

2 neither

3 neither

Step-by-step explanation:

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?

Answers

Answer:

[tex]f(x) = (x+1)^2 +2[/tex]

Step-by-step explanation:

Well you complete the square and get,

[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)

The base of a regular pyramid is a hexagon.

Answers

Answer:

The base of the regular pyramid is a square.

Step-by-step explanation:

ANSWER ASAP
PLEASE AND THANK YOU

Answers

Answer:

(C) $111.83

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

[tex]35\cdot0.5=17.5[/tex]

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is [tex]35+17.5 = 52.5[/tex]

So four pairs cost [tex]52.5\cdot2 = 105[/tex]

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

[tex]105\cdot1.065=111.825[/tex]

This simplifies down to 111.83.

Hope this helped!

when you use the distance formula you are building a right triangle whose _____ connects two given points a. right angle b. shorter leg c. hypotenuse d. longer leg

Answers

Answer:

hypotenuse

Step-by-step explanation:

hypotenuse.  The length of the hypotenuse is the distance between the two given points.

Answer:

hypotenuse

Step-by-step explanation:

Write an expression for " 9 less than three times a number"

Answers

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number. 267 cm2 283 cm2 456 cm2 487 cm2

Answers

Answer: 283 cm2

Step-by-step explanation:

The formula for finding the surface area of a cone is:

A=[tex]\pi r(r+\sqrt{h2+r2})[/tex] Where r is the radius and h is the height.

Replacing: [tex]\pi 5(5+\sqrt{(12)2+(5)2}[/tex]

Solving: 282,7 ≈ 283cm2

Answer:

bee

Step-by-step explanation:

its be because its true

PLEASE HELP ME The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.

Answers

Answer:

The length of the other leg is 8.94 m.

Step-by-step explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

[tex]H^2=b^2+h^2[/tex]

H = hypotenuse = 12 m

b = base = 8 m

[tex]h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m[/tex]

So, the length of the other leg is 8.94 m.

Which rule describes the x-coordinates in the translation below?. On a coordinate plane, triangle A B C is shifted 6 units up.

Answers

Answer:

The answer is A: x + 0

Step-by-step explanation:

I got it correct on Edge. Please give 5 stars and have a great day! :)

The translation of the x-coordinate is written as x⇒0 for the triangle ABC.

What is translation?

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.

Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.

The x-coordinate translation is written as,

x ⇒ 0

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1. x=40

2. x=15

3. x=197

4. x=39

Step-by-step explanation:

pythagorean theorem: a^2 + b^2 = c^2

c= hypotenuse

Answer:

1 is 40, 2 is 15, 3 is 197, and 4 is 89

Step-by-step explanation:

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A)About one in three B)About one in four C)About one in two D)About one in five The instructor wants to give an A to the students whose scores were in the top of the class. What is the minimum score needed to get an A Managers today need to look past traditional viewpoints in determining the success of their company's strategy. One such approach is known as the balanced scorecard. This approach involves looking past just one measure and involves taking a comprehensive view of the organization. This is a useful tool for new managers to understand and add to their "toolbox" of management expertise.The balanced scorecard give managers a quick and comprehensive view of organizational performance using four primary indicators: customer satisfaction, internal processes, innovation and improvement activities, and financial measures. This "scorecard" is visually represented on a strategy map.Bryan was recently tasked with developing a balanced scorecard for his new employer, KanO Mines. Bryan is preparing a presentation for upper management and needs to complete a visual chart of the components of the balanced scorecard approach.Match one perspective, goal, and measure, with each of the four components that Bryan has identified.Growth: This would concentrate on an increase in sales.Innovation and Learning: This perspective is concerned with making sure employees learn and grow so they can continually innovate.Service: This would be the level of customer service.Customer: This perspective concentrates on things like customer service.Financial: This perspective has to do with the conversion of performance into financial performance and the creation of value.Survey: This would be the results of an online customer satisfaction survey.Analysis: This would use data from the ERP system to look into success levels of company processes.Training: This would focus on providing enhanced training opportunities for employees.Productivity: This would concentrate on changes to the process involved in production.Internal business: This perspective focuses on the things that a company has to do internally to meet and exceed customer expectations.Sales: This would be the annual sales figures.Results: This would look at changes in the skill level of employees.How do we look to our shareholders?What do we need to excel at?Can we continue to improve and create value?How do our customers see us?Identify one perspective, goal, and measure, to correspond with the above goals. What are the actions of other characters that affected the Dorothy in the Wizard of Oz story?( List three actions of other characters and give examples from the text, explaining how each action shaped the Dorothy.) I DON'T HAVE THE BOOK PLZ ANSWERR ASAPPPP PLEASE I WILL GIVE 15 POINTS AND BRAINLIEST!!!!! :( Unpolarized light is incident upon two polarization filters in sequence. The two filters transmission axes are not aligned. If 18% of the incident light passes through this combination of filters, what is the angle between the transmission axes of the filters 3x + 45 = 4x + 21Solve for 'x'. The height of the right circular cylinder is 10 cm and the radius of the base is 7 cm. Then, the difference between the total surface area and the curved surface area is a) 300 cm^2 b) 308 cm^3 c) 308 cm^2 d) 308 cmplz answer it fast I will mark them as the brainlist Describe the strategy of the South to win the war? please When individuals acquire, process, and act on relevant economic information promptly in their own self-interest and investigate its impact on others, they are said to have __________ expectations. Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 ft high Which of the following basic nutrients does NOT contain any calories?A. proteinB. carbohydratesC. waterD. fat Mikel has a chance to win a trip on a TV game show. All he has to do is win the "Shopping Game". In this game, Mikel is shown six grocery store items without being shown the prices. He must buy multiples of items until he has a total between $20 and $21 inclusive. If he doesnt reach $20 with his first item, he continues buying items and adding to his total, until he either wins by getting an amount between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20. First, Mikel buys six bottles of shampoo.Write a compound inequality