Ali wraps a birthday present in a tube that has a length of 14 inches and a diameter of 6 inches.


a. a. How much space can the gift hold?

Answers

Answer 1

Answer:

395.84

Step-by-step explanation:

The radius squared is nine. 9 times pi then 14, is 395.84


Related Questions

can plants the seed of one and a half inch below the ground​

Answers

Answer:

The plant is 2.5 inches above the ground!

Step-by-step explanation:

i just did it

Answer:

Could you please rephrase this?

Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .

Answers

Answer:

x=-0.4

Step-by-step explanation:

We have the equation:

[tex]-9x+0.4=4[/tex]

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]

Thus, the answer to this equation is x= -0.4

Answer:

a)

Subtract 0.4 from both side.

-9x +0.4 = 4

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

b)

divide by -9 both side

-9x/-9 = 3.6/-9

x = -0.4

Step-by-step explanation:

-9x+0.4=4

    -0.4  -0.4

_______________

-9x=3.6

__    __

-9     -9

________________

x=-0.4

AM really good !

Step-by-step explanation:

The distance between the towns of Averton and Brackston is 10km. On map the distance is 5cm. What is the scale of the map in its simplest form

Answers

Answer: The scale of the map in its simplest form is 1:200,000

Step-by-step explanation: From the question,

The distance between the two towns is 10km which is a distance of 5cm on the map.

This means, 5cm represents 10km. Now we will determine what 1cm represents.

If 5cm represents 10km

Then 1cm will represent (10÷5) km

Hence, 1 cm will represent 2km

Now, convert 2km to cm

2km = 2000m = 200,000cm

Hence, 1cm represents 200,000cm

This means on the map 1cm represents 200,000cm.

The scale of the map is therefore

1:200,000

Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. The host then says to you, "Do you want to pick door No. 2 instead of door No. 1?" Is it to your advantage to switch your choice?

Answers

Answer:

I think it is to my advantage to switch my choice to door 2.

Step-by-step explanation:

Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.

Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.

A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end

Answers

Answer:

Measure of the acute angle = 84°

Step-by-step explanation:

In the figure attached,

ABDE is a swimming pool having length 'AB' = 65 feet

Depth of one end of the pool is BE = 4 feet

And depth of the other end AD = 11 feet

Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.

Now from ΔCDE,

tanx = [tex]\frac{EC}{DC}[/tex]

tanx = [tex]\frac{7}{65}[/tex]

x = [tex]\text{tan}^{-1}(\frac{7}{65})[/tex]

x = 6.15°

Now measure of acute angle the bottom of the pool makes with wall at he deep end,

m∠ADE = (90 - 6.15)°

             = 83.85°

             ≈ 84°

The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly

Answers

Answer:

Step-by-step explanation:

The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly

Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders.

Answers

Answer:

The size will be "431".

Step-by-step explanation:

On assuming:

P1 = 0.5

P2 = 0.5

Now,

[tex]q1=1-p1[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

and,

[tex]q2=1-p2[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

Margin's error will be,

E = 0.07

For 96% CI critical will be:

Z = 2.054

So,

Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]

On putting the estimated values, we get

                     = [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]

                     = [tex](0.25+0.25)\times (29.3)^2[/tex]

                     = [tex](0.5)\times (858.49)[/tex]

                     = 431

What transformations were applied to ABC to obtain A'B'C'?

Answers

Answer: rotated 90 degrees counterclockwise and shifted 2 units up.

Step-by-step explanation:

After sitting out of a refrigerator for a while, a turkey at room temperature 71 f is placed into an oven. The oven temperature is 325 f. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.


The turkey reaches the temperature of 117 f after 1.5 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5 hours.

Answers

Answer: The value of k to the nearest thousandth is -0.133

The of the turkey to the nearest degree after 4.5 hours is 186F

Step-by-step explanation: Please see the attachments below

Cars lose value the farther they are driven. A random sample of


11


1111 cars for sale was taken. All


11


1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.

Answers

Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is [tex]y = -\frac{1}{4}x + 40[/tex]

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       [tex]y = mx+c[/tex]

m is the slope which   can be obtained from the graph diagram as

             [tex]s = \frac{30 -20}{80 -40}[/tex]

             [tex]s = \frac{1}{4}[/tex]

Now this slope is a negative slope as seen from the diagram so

        [tex]s =-\frac{1}{4}[/tex]

The intercept is  40 as seen from the graph

So the linear equation is

        [tex]y = -\frac{1}{4}x + 40[/tex]

Answer:

sorry i need the points

Step-by-step explanation:

What is the definition of an acute angle?

Answers

Answer:

Measure less 90 degrees

Step-by-step explanation:

Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees

Hope this helps.

Answer: An angle less than 90 degrees

Step-by-step explanation:

An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.

Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school at point A and the middle school at point B. they also plan to build roads that run directly from point A to the mall and from point B to the mall. the average cost to build a road in this area is $550,000 per mile. . c. Draw the road from point A to the mall and find its length. d. Draw the road from point B to the mall and find its length. e. How much farther from the mall is point B than point A? How much more will it cost to build the longer road?

Answers

Answer:

  c, d.  see attached

  e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

  A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

  B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

  (BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

  (2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.

Which expression is equivalent to 4 (x + 2)? 6 x 4 (x) + 4 (2) 4 (x) + 4 8x

Answers

Answer:

4x+8 or 4 (x) + 4 (2)

Step-by-step explanation:

Hope it helps.

Answer:

B

Step-by-step explanation:

4(x+2).

By expanding the expression we have;

4(x+2) = 4× x + 4× 2 = 4(x) + 4(2)

(geometry) PLZ HELP ASAP!

Answers

Answer:

About 25.1 cubic meters

Step-by-step explanation:

The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:

[tex]V=\dfrac{1}{3} \pi r^2 h=\\\\\dfrac{1}{3} \cdot \pi \cdot 2^2 \cdot 6\approx 25.1[/tex]

Hope this helps!

∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25

Answers

Answer:

Option B. 36

Step-by-step explanation:

From the figure attached,

ΔLMN ~ ΔPON

Therefore, corresponding sides of these similar triangles will be in the same ratio.

[tex]\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}[/tex]

[tex]\frac{LM}{OP}=\frac{MN}{ON}[/tex]

[tex]\frac{42}{14}=\frac{x}{12}[/tex]

x = [tex]\frac{42\times 12}{14}[/tex]

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.

Jane is using a sextant to measure her distance from a building of height 270 feet. Her eyes
are 5 feet 3 inches above the ground. The angle of elevation from her viewpoint using the
sextant is 40°. How far away, measured to the nearest foot, is Jane from the building?
a) 221 feet b) 203 feet c) 170 feet d) 316 feet e) none of these.

Answers

Answer:

d) 316 feet

Step-by-step explanation:

Now 3 Inches = 0.25 feet

Therefore:  5 feet 3 inches =5.25 feet

The problem forms a right triangle in which the height of the triangle

= 270 -5.25  =264.75 feet.

Using Trigonometric ratios

[tex]\tan 40^\circ=\dfrac{264.75}{y} \\$Cross multiply\\y\tan 40^\circ=264.75\\y=264.75 \div \tan 40^\circ\\y=315.5$ feet[/tex]

Therefore, Jane is approximately 316 feet from the building.

Answer: d) 316 feet

Step-by-step explanation:

A right angled triangle ABC is formed.

BC represents the height of the building minus the height of Jane's eyes from the ground. AB represents Jane's distance from the building.

12 inches = 1 feet

3 inches = 3/12 = 0.25 feet

Therefore, the height of her eyes from the ground is 5 + 0.25 = 5.25 feet

Therefore, BC = 270 - 5.25 = 264.75 feet

To determine AB, we would apply the the tan trigonometric ratio which is expressed as

Tan# = opposite side/adjacent side

Tan 40 = 264.75/AB

AB = 264.75/tan40

AB = 264.75/0.839

AB = 316 feet

Want brainliest? Get this correct , What is one of the negative effects of globalization?

Answers

Answer:

B

Step-by-step explanation:

the reason is, i suffered it ;)

Which of the following terms describes a company's first sale of stock to the
public?
O A. Circular flow model
B. Debt financing
O C. Venture capital
D. Initial public offering​

Answers

Answer:

D. Initial public offering​

Step-by-step explanation:

A P E X

Find the y and x intercept

Answers

Answer: See below

The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)

The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)

need help fast this is time

Answers

Answer:

x= 34

Step-by-step explanation:

96 + 50 + x = 180

180 - 146 = x

x= 34

Answer: x = 34

Step-by-step explanation:

The interior angles of a triangle add up to 180.

So we can set an equation to 180 like this: [tex]180 = x + 96 + 50[/tex]

We can simplify this:

[tex]180 = x +146[/tex]

Now we need to isolate x to solve for it.

We do this by subtracting the 146.

[tex]34 = x[/tex]

venona is solving the equation-3+4x=9 in order to isolate the variable term

Answers

Answer:

x = 3

Step-by-step explanation:

-3 + 4x = 9 .... add the 3 over

4x = 12 .... divide by 4

x = 3

Find the y intercept of the line 3y=12x+15

Answers

Answer:

y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 12x + 15 ( divide all terms by 3 )

y = 4x + 5 ← in slope- intercept form

with y- intercept c = 5

The y-intercept of the given line, 3y=12x+15 is: 5.

What is the y-intercept of a line?The slope-intercept form equation of a line easily helps us to determine the y-intercept of the line, b.y = mx + b represents the equation of a line in slope-intercept form."b" is the y-intercept.

Given:

3y=12x+15

Rewrite in slope-intercept form

y = 12x/3 + 15/3

y = 4x + 5

Therefore, the y-intercept of the given line, 3y=12x+15 is: 5.

Learn more about the y-intercept of a line on:

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What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication

Answers

Answer:

[tex]S=\frac{C}{2}[/tex]

Step-by-step explanation:

From the graph B,

Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,

S = mC + b

Where m = Slope of the line

b = y-intercept of the line

We choose two points (2, 1), and (4, 2) lying on the line.

Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{2-1}{4-2}[/tex]

m = [tex]\frac{1}{2}[/tex]

y-intercept 'b' = 0

Equation of the line will be

S = [tex]\frac{1}{2}C[/tex]

Aubrey is making cone-shaped hats for a birthday party. How much paper does Aubrey need for each hat? Use 3.14 for pi and round your answer to the nearest inch

Answers

Answer:

About 75 in²; Aubrey found the surface area of the cone and included the base.

Complete question:

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.Cone with diameter six inches and slant height eight inches.What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

Step-by-step explanation:

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

where, r is radius of the cone and l is lateral height of the cone

Lateral surface area = π(3)(8)

                                = 75.36 square inches

                                ≈ 75 square inches

Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

                                 = πr(r + l)

                                 = 3.14(3)(3 + 8)

                                 = 103.62

                                 ≈ 104 square inches.

Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Answer:

~75 in

Step-by-step explanation:

In the diagram, m 23 = 120° and mZ12 = 80°. Which
angle measures are correct? Check all that apply.
1
2
mZ1 = 60°
V
9 10
11 12
4
e
m2 13 = 80
56
13 14
m26 = 80
7
8 15 16
f
m25 = 60°
Om Z10 = 120°
'c
d
m2 14 = 100
Intro
Done
4 of 8

Answers

Answer:

A,B,D,F

Step-by-step explanation:

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

What are corresponding angles?

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

m∠3 = 120

m∠12 = 80

Now,

1)

m∠1 = 60 (true)

m∠1 + m∠3 = 180

So,

m∠1 = 180 - 120 = 60

2)

m∠13 = 80 (true)

m∠12 and m∠13 are alternate angles.

So,

m∠13 = 80

3)

m∠6 = 80 ( false)

m∠6 and m∠3 are alternate angles.

So,

m∠6 = 120

4)

m∠5 = 60 (true)

m∠5 + m∠3 = 180

m∠5 = 180 - 120 = 60

5)

m∠10= 120 (false)

m∠10 + m∠12 = 180

m∠10 = 180 - 80 = 100

6)

m∠14 = 100 (true)

m∠14 + m∠12  = 180

m∠12 = 180 - 80 = 100

Thus,

The angle measures that are true are:

m∠1 = 60

m∠13 = 80

m∠5 = 60

m∠14 = 100

Learn more about corresponding angles here:

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The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test are 148,102,152.What is the average of the extracted scores that are outliers

Answers

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

What is the answer to 2(-2)+3(-5)

Answers

Answer:

-19

Step-by-step explanation:

2*(-2)+3(-5)=-4+(-15)= -19

what is -5 + 4 please send help

Answers

Answer:

The answer is -1

Hope this helped :3

-1 ...........................

Notice that we had an overall accuracy greater than 96% in the training data, but the overall accuracy was lower in the test data. This can happen often if we overtrain. In fact, it could be the case that a single feature is not the best choice. For example, a combination of features might be optimal. Using a single feature and optimizing the cutoff as we did on our training data can lead to overfitting. Given that we know the test data, we can treat it like we did our training data to see if the same feature with a different cutoff will optimize our predictions. Which feature best optimizes our overall accuracy

Answers

Answer:

Step-by-step explanation:

Training data overall accuracy is >96%

Test data overall accuracy is <96%

A single feature is not the best choice but a combination of features might be optimal.

The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.

Find the median of the data. 12,33,18,28,29,12,17,4,2

Answers

Answer:

Step-by-step explanation:

2, 4, 12, 12, 17, 18, 28, 29, 33

(17+18)/2

35/2= 17.5 is the median

The median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

12, 33, 18, 28, 29, 12, 17, 4, 2

After arranging in accending orde:

2, 4, 12, 12, 17, 18, 28, 29, 33

As we can see the mid-value is 17

Median = 17

Thus, the median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.

Learn more about the median here:

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Michael is 4 times as old as Brandon and is also 27 years older than Brandon. Please answer CORRECTLY !!!! Will mark brainliest !!!!!! On March 1, 2022, Carla Vista Co. acquired real estate, on which it planned to construct a small office building, by paying $79,000 in cash. An old warehouse on the property was demolished at a cost of $8,000; the salvaged materials were sold for $1,660. Additional expenditures before construction began included $1,160 attorneys fee for work concerning the land purchase, $4,400 real estate brokers fee, $8,660 architects fee, and $13,800 to put in driveways and a parking lot. (a) Determine the amount to be reported as the cost of the land. I need help ASAP can someone please help me right away A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x = Read this excerpt from The Land.But what I want you to concentrate on learning now is a skill you can always use, something you can always depend on to earn some money.""Like horse training?""No. Like carpentry. Not just knowing how to nail two pieces of wood together, but how to build something fine and of quality. There'll always be a need for that. The Lord Jesus Christ Himself was a carpenter, so you know you couldn't ask for a better trade. You can use your horse training too, but carpentry is something solid and dependable, and there'll always be a need for it.Based on the historical setting, why does Pauls father want him to learn a trade?Pauls father understands the societal limitations on Pauls career choices.Pauls father believes that Paul has a religious obligation to become a carpenter.Pauls father selfishly seeks to find a trade that Paul can use to help the family.Pauls father does not believe that any of his sons should pursue academics. Which actions can be used to help promote the selection of healthy food choices? Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What is the ratio of sci-fi novels to comic books? Which phrase best describes heat?A. the energy that an object has as a result of its temperatureBthe average translational kinetic energy of the particles in an objectCthe energy transferred between objects at different temperaturesDthe total amount of energy possessed by the particles in an object which phrase in this excerpt from kurt vonneguts report on the barnhouse i s an example of sarcasm Choose the correct possessive word or phrase. Las sillas son _____. nuestra nuestras solve for a: 60a - 80a -64 -92 What subordinating would best begin the following sentence? A solution is made by mixing 10.2 grams of CaCl2 in 250 grams of water. What is the molality of thesolution? Given that a 15.00 g milk chocolate bar contains 9.500 g of sugar, calculate the percentage of sugar presentin 15.00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (twodecimal places). Will Mark Brainliest if correct!!In a submarine battle simulation, you know all the locations the enemy units can move to. Anticipating these moves, you call for reinforcements to be sent to these locations. What kind of challenge has been described here?A. perfect informationB. O'intrinsic knowledgeC. imperfect informationD. extrinsic knowledge y = 5x + 30 x = 10 What is the solution to the system of equations? (20, 10) (10, 20) (10, 4) (4, 10) what are the six stages of Arn Chorn pond heroic journey Though we were all healed from the fever, some wounds were inside the heart and would mend slowly. What wounds of the heart did Mattie suffer during the epidemic? Consider this right triangle with the given measures. Who was the king of Great Britain at the time when the colonies adopted the Declaration of Independence