A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball? (V = 4/3(pi)r^3)

Make sure you do put the unit with this answer rounded to the tenth if necessary.

Answers

Answer 1

Answer:

The radius of the ball is of 6 feet.

Step-by-step explanation:

The radius of the ball in spheric format is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?

Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]904.32 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]

[tex]r = 6[/tex]

The radius of the ball is of 6 feet.


Related Questions


9(3x + 4) - 22 = 11 +5(42 - 1)

Answers

Answer:

13

Step-by-step explanation:

because I know cause my dad is adam sandler

Answer:

hello! :) have a good day!

Exact Form:

x = 202/27

Decimal Form:

x = 7.481

Mixed Number Form:

x = 7 13/27

Put the equation into this form

Answers

Answer:

y=x(x-2)-8

Step-by-step explanation:

hope this helps :)

Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain

Answers

Answer:

i d k

Step-by-step explanation:

Answer:

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.

Examine the diagram. It is not drawn to scale.

What is the m_3?
m_3=

Answers

Answer:

I think 12 I don't know if it's right or not but I tried

Answer:

its 105 :)

Step-by-step explanation:

its 100% correct <3

Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor

Answers

Answer:

Step-by-step explanation:

A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to have a rooftop patio

with a view of the ocean. Another building, in between the new building and the ocean, is located a distance of 180 feet

from the ocean and has a height of 15 feet. The angle of elevation from the ocean to the top of the new building, O.

represents the minimum angle for a person on the rooftop to view the edge of the ocean

rooftop

patio

15 ft.!

180 ft.

420 ft.

. To the nearest hundredth, what is the measure of in degrees?

. Construction for the new building has a maximum height restriction of 32 feet Is it possible for the builder to have a

rooftop patio with a view of the ocean? Justify your answer. In your response, make sure to define your variables

and show all your work

Enter your answers and justification in the box

Math symbols

Relations

No

Answers

Answer:

[tex]\theta = 4.8^\circ[/tex]

It is possible

Step-by-step explanation:

Given

See attachment for the construction

Solving (a): The minimum angle

This is calculated as thus:

[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

[tex]tan(\theta) = \frac{15}{180}[/tex]

[tex]tan(\theta) = 0.0833[/tex]

Calculate [tex]\theta[/tex]

[tex]\theta = tan^{-1}(0.0833)[/tex]

[tex]\theta = 4.761[/tex]

[tex]\theta = 4.8^\circ[/tex] --- approximated

Solving (b):

First; calculate the height of the building using the following equivalent ratio.

[tex]h : 420 = 15 : 180[/tex]

Where h is the height of the building

[tex]\frac{h }{ 420 }= \frac{15 }{ 180}[/tex]

[tex]h= \frac{15 }{ 180}*420[/tex]

[tex]h= \frac{15*420 }{ 180}[/tex]

[tex]h= \frac{6300}{ 180}[/tex]

[tex]h= 35[/tex]

This means that it is possible that the builder builds a 32 feet high building

Measure of angle θ will be 4.76°It is not possible for the builder to have a rooftop patio with a view of the ocean.

Angle of depression:Angle of depression is the angle formed between the horizontal line and the line of sight of the observer.

From the picture attached,

Angle of depression = Angle of elevation (θ)    [Alternate angles]

Apply tangent rule in ΔCDP,

[tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}\theta=\frac{CD}{DP}[/tex]

       [tex]=\frac{15}{180}[/tex]

       [tex]=\frac{1}{12}[/tex]

[tex]\theta=\text{tan}^{-1}(0.08333)[/tex]

[tex]\theta=4.76^\circ[/tex]

Similarity of two triangles:If two triangles are similar, their corresponding sides will be proportional.

Use this property to get the height of the new building.

Since, ΔABP and ΔCDP are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{BP}=\frac{CD}{DP}[/tex]

[tex]\frac{AB}{420}=\frac{15}{180}[/tex]

AB = [tex]\frac{420\times 15}{180}[/tex]

     = 35 feet

But the construction for a new building has a maximum height restriction of 32 feet.

And the height of the building is more than the restricted height.

    Therefore, it is not possible for the builder to have a rooftop patio with a view of the ocean.

Learn more about the similar triangles here,

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The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).

Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5

Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?

Answers

Based on the circumstances of the 100 workers and their union membership, the probabilities are:

Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.

What is the probability of the a new job with a union member?

Number of people with jobs in new companies:

= 14 + 10

= 24

There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24

= 0.583

What is the probability that a union worker has been unemployed?

The number of people in a Union is:
= 39 + 14 + 6 + 2

= 61 people

Number of union people that have been unemployed is 2.

The probability here is therefore:

= 2 / 61

= 0.033.

Find out more on probabilities at https://brainly.com/question/25870256.

Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)

Answers

Answer:

8 = y

Step-by-step explanation:

In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...

20 = y + 12   ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.

20 - 12 = y + 12 - 12

8 = y

Finally, we can see that the value of the variable y is 8

Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?

Answers

Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4

Use the following information for Questions 7 - 10. Last year two sections of probability and statistics were taught by an instructor. The first section had 20 students and the second had 30 students. Each student had to complete a project. The projects were randomly ordered before grading. Consider the first 15 graded projects. Question 7: Which type of probability distribution best describes the problem

Answers

Answer:

Hypergeometric distribution

Step-by-step explanation:

The hypergeometric distribution is the type of geometric distribution that best describes this problem.

The hypergeometric distribution is a distribution function where weake selections from 2 groups and by doing so no members of the groups are replaced. The 2 groups are the two sections of probability and statistics.

Samantha has 1/3 gallon of milk left and wants to make 55 smoothies. If she wants to use the same amount of milk in each smoothie, how much milk can she put into each smoothie?

Answers

Answer:

She can put 1/165 in one smoothie.

Step-by-step explanation:

1/3 divided by 55/1

1/3 x 1/55 = 1/165

Hope this helps! :)

plz make me the Brainiest

7 (w+13)= 35 what the value of w

Answers

Answer:

w=-8

Step-by-step explanation:

take both sides and divide by 7

(w+13)=5

subtract both sides by 13

w=-8

7(w+13)=35

distribute
7w+91=35

subtract 91 from both sides
7w=-56

divide both sides by 7
w=-8

I need help on this for real

Answers

Answer:

x < 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Gang ima just take them points tbh

Step-by-step explanation:

Plz help me with math I am bad at it plzz

Answers

i’m pretty sure it’s either b or d but i’m leaning towards b

Answer:

c im pretty sure because im good at this

Can someone pls help me? I’m confused!

Answers

Answer:

? = 24

Step-by-step explanation:

Pizzas = 3

Because of this, burgers must be 2

2³ = 8

Tacos = 8

8 + 8 + 8 = 24

24

Explanation

Pizza Slice= 3

You divide 27 by 3, which gets you 9, then divide it by 3 again, which gets you 3 once more. 3 is how much a pizza slice is.

Hamburger = 2

Since we know a pizza slice is 3, we can do 3×3 to get us 9, which we would then have to divide 18 by 9 so we get the value of the Hamburger, which is 2.

With that information in mind, 3 Hamburgers (2×2×2) equals a Taco, which would be 8. And three tacos (8+8+8) equals 24.

Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,​

Answers

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?

Answers

Answer:

A: His raise was $23.8

B: He is making $1213.8

Step-by-step explanation:

Do 1190 divided by 100 and your answer will be

11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8

a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

Will receive a 2% increase in pay, He was making $1,190/biweekly.

a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).

b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.

Learn more about the percentages here:

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#SPJ2

Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

Answers

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Substitute in variables [Average Rate of Change]:                                       [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function:                                                                    [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents:                                    [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply:                                                        [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract:                                                       [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative:                  [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add:                                                                                [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide:                                                                            [tex]\displaystyle -11[/tex]

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1

Answers

Answer:

-12

Step-by-step explanation:

2 (2x-3y)-5xy

4x-6y-5xy

4(-2)-6(-1)-5*-2*-1

-8+6-10

-12

Victoria opens a saving account with $200. She earns 1.6% interest. How much will she have after 4 years?

Answers

Answer:

i think it is 212.8

Step-by-step explanation:

Answer: it’s 212.8

Step-by-step explanation:

The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour

Answers

n×r=£w

That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R

work out the surface area of this cylinder

Answers

Answer:

A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822

Step-by-step explanation:

We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.

Answers

Answer:

a.) [tex]\frac{1}{6}[/tex]

b.) [tex]\frac{3}{15}[/tex]

c.) [tex]\frac{27}{36}[/tex]

Step-by-step explanation:

Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability

             of it landing on any number between [1-6] is equi- probable

             (i.e., [tex]\frac{1}{6}[/tex]).

To find - (a) Find the probability that doubles are rolled.

               (b) Given that the roll results in a sum of 6 or less, and  

                    the conditional probability that doubles are rolled.

               (c) Find the probability that the larger of the two die's outcomes

                    is at least 4.

Proof -

As given , two fair 6-sided dice is rolled.

The sample space is as follows :

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  }

Total number of outcomes = 36

a.)

Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }

Total number of possible outcomes = 6

So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]

b.)

Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

Now,

Total outcomes = 15

Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )

So, Probability = [tex]\frac{3}{15}[/tex]

c.)

Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

Total possible outcomes = 27

So, Probability = [tex]\frac{27}{36}[/tex]

Which formula represents how to find r in a polar coordinate?

Answers

Answer:

Here's the answer:

r = √ ( x2 + y2 )

Answer:

To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √ ( x2 + y2 )

2. θ = tan-1 ( y / x )

I hope it's helpful!

What is -1 - 9
Solve for 2x-4y =20
X=4

Answers

Answer:

So -1-9= -10

And if x =4 then 2(4)-4y=20

Y= -3

Step-by-step explanation:

2(4)-4y=20

8-4y=20

-4y=12

y=-3

Answer:

-1 - 9 = -10 &

y = -3

Step-by-step explanation:

2x - 4y = 20

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

good luck, i hope this helps :)

Financial algebra: Karen wants to make a deposit of $500 each week into an account that earns %5 interest compounded weekly(52 weeks/year). How much money will be in the account at the end of 1 year?
How much money in interest will be the account earned at the end of the year?

Answers

Te get this answer u must do 9282938+(-847372837)=(-63827884) is ur answer I took the test

I really need help on this please

Answers

Answer:

m<S = 92°

Step-by-step explanation:

Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.

<S and <Q are opposite angles of the cyclic quadrilateral given.

m<Q = 88°

Therefore,

m<Q + m<S = 180°

88° + m<S = 180° (substitution)

m<S = 180° - 88° (substraction property of equality)

m<S = 92°



On a family vacation, Melissa's family drove 480 miles from Cincinnati,

Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her

mom drove 65% of the distance her dad drove. If her brother drove the

remaining miles, about how many miles did her mom, dad, and brother

each drive

Answers

Answer:Melissa's  mom, dad, and brother  each drove 312miles, 168miles and 0 miles respectively

Step-by-step explanation:

If Mellisa's dad drove 35% of the way

and Melissa's mum drove 65% of the way,

Then

Melissa's brother did not drive at all because

Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles

Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles

her mom, dad, and brother  each drove 312miles, 168miles and 0 miles respe ctively

Use equivalent ratios to complete each table. Fill in the blanks

Tables: 8 _ 16 _ _
Chairs: 32 16 _ _ _

Answers

Answer:

Step-by-step explanation:

8 4 16 ? ?

32 16 64 ? ?

i dont know the last two but here

Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)

Answers

Answer:

[tex]\displaystyle m=\frac{-1}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                                 [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add:                                                                      [tex]\displaystyle m=\frac{-1}{7}[/tex]
Other Questions
As Commander-in-Chief, the governor is in charge of which military force at the state level?- Coast Guard- Merchant Marines- The Nuclear Arsenal- National Guard he 2021 income statement of Adrian Express reports sales of $16,281,000, cost of goods sold of $9,851,500, and net income of $1,610,000. Balance sheet information is provided in the following table. ADRIAN EXPRESS Balance Sheets December 31, 2021 and 2020 2021 2020 Assets Current assets: Cash $ 610,000 $ 770,000 Accounts receivable 1,420,000 1,010,000 Inventory 1,820,000 1,410,000 Long-term assets 4,810,000 4,250,000 Total assets $ 8,660,000 $ 7,440,000 Liabilities and Stockholders' Equity Current liabilities $ 2,010,000 $ 1,670,000 Long-term liabilities 2,310,000 2,410,000 Common stock 1,990,000 1,990,000 Retained earnings 2,350,000 1,370,000 Total liabilities and stockholders' equity $ 8,660,000 $ 7,440,000 Industry averages for the following four risk ratios are as follows: Average collection period 25 days Average days in inventory 60 days Current ratio 2 to 1 Debt to equity ratio 50% Required: 1. Calculate the four risk ratios listed above for Adrian Express in 2021. (Use 365 days in a year. Round your answers to 1 decimal place.) 3. Despeja la frmula para la vaa) V = IRR=? Please help this is due tomorrow How many grams of CaO can be produced using 3.9 moles CaCO3?1CaCO3 --> 1CaO + 1CO * Help me pleaseeeeeeeeeeeeee where do babys come from.(not real answers funny ones) pgina 75 libro contestado cuarto grado primaria espaok Why were city planning and zoning a necessity in American cities? A, B & C form a triangle where Z BAC = 90.AB = 1.2 mm and CA = 3.9 mm.Find the length of BC, giving your answer rounded to 1 DP Assumption of the risk is NOT a defense available to defendants in products liability cases. T/F Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last? Why do some artists prefer a specific medium or technique? the sides od a triangle are in the ratio3:4:5 &uts perimeter 144 cm .find tye area write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) According to Ray Bradbury, why is it so important for people who live in a democracy to be readers? Do you agree with him? Explain Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain. When something bad happens, are you someone to stand by and let it happen, or do you try to do something about it? identify other art forms related from classical period Read the passage from act 2, scene 1, of The Tragedy of Julius Caesar.BRUTUS. Kneel not, gentle Portia. . . .You are my true and honourable wife,As dear to me as are the ruddy dropsThat visit my sad heart.PORTIA. If this were true, then should I know this secret. . . .Tell me your counsels; I will not disclose 'em.I have made strong proof of my constancy,Giving myself a voluntary woundHere in the thigh. Can I bear that with patience,And not my husbands secrets?Which details best support the theme that loyalty to one's spouse is important? Select two options.Brutus's admission that his heart is sadPortia's insistence that she will not tell Brutus's secrets to anyonePortia's self-inflicted wound to prove that she is constantBrutus's admonition to Portia to not kneel before himBrutus's description of Portia as a gentle person