Max packs cereal boxes into a larger box. The volume of each cereal box is 175 cubic inches. What is the approximate volume of the large box? Please help!!

Max Packs Cereal Boxes Into A Larger Box. The Volume Of Each Cereal Box Is 175 Cubic Inches. What Is

Answers

Answer 1

Using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

What are mathematical operations?The rules governing the order of operations specify the order in which multiple operations should be performed to solve an expression. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are the order in which the operations are performed (from left to right).

So, in the image, we can observe that the large box contains 6 boxes of cereals in front and possibly 8 boxes of cereals at the back.

In total, there are 16 small boxes in the big box.

Then, the volume of the larger box can be:

175 × 16 = 2,800 in³

Therefore, using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

Know more about mathematical operations here:

https://brainly.com/question/28937023


#SPJ13


Related Questions

Michelle can wash dry and fold 5 loads of laundry in 3 1/2 hours. what is the average amount of time it takes Michelle to do one load of laundry

Answers

[tex]\begin{gathered} \text{If she can dry and fold 5 loads in 3 1/2 hous, that is in 3.5 hours, ten per hour she does} \\ \frac{3.5}{5}=0.7 \\ \\ \text{The average time it takes is 0.7 hours!} \\ \\ \text{now, in minutes, it is } \\ 0.7\cdot60=42 \\ \\ \text{ It takes 42 minutes} \end{gathered}[/tex]

Solve fory.y = 6O O2y = 5y = 6.67оо3y = 94Previous

Answers

Here the chords are intersecting outside hence

[tex]\begin{gathered} 2\times(2+10)=3\times(3+y) \\ 2\times12=3(3+y) \\ 2\times4=(3+y) \\ 8=3+y \\ y=8-3 \\ y=5 \end{gathered}[/tex]

Hence the answer is y=5

Equation of the line that passes through points (8,7) and (0,0)

Answers

Equation of the line:

y = mx+b

where:

m= slope

b= y-intercept

First, we have to find the slope:

m = (y2-y1) / (x2-x1)

Since we have:

(x1,y1) = (8,7)

(x2,y2)= (0,0)

Replacing:

m = (0-7)/ (0-8) = -7/-8 = 7/8

Now, that we have the slope:

y = 7/8 x +b

We can place the point (8,7) in the equation and solve for b:

7 = 7/8 (8) +b

7=7 +b

7-7=b

b=0

Since the y-intercept=0

The final equation is:

y= 7/8x

the width of a rectangle is 8 inches less than its length, and the area is 9 square inches. what are the length and width of the rectangle?

Answers

The given situation can be written in an algebraic way:

Say x the width of the rectangle and y its height.

- The width of a rectangle is 8 inches less than its length:

x = y - 8

- The area of the rectangle is 9 square inches:

xy = 9

In order to find the values of y and x, you first replace the expression

x = y - 8 into the expression xy = 9, just as follow:

[tex]\begin{gathered} xy=9 \\ (y-8)y=9 \end{gathered}[/tex]

you apply distribution property, and order the equation in such a way that you obtain the general form of a quadratic equation:

[tex]\begin{gathered} (y-8)y=9 \\ y^2-8y=9 \\ y^2-8y-9=0 \end{gathered}[/tex]

Next, you use the quadratic formula to solve the previous equation for y:

[tex]y=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

here you have a = 1, b = -8 and c = 9. By replacing these values you obtain:

[tex]\begin{gathered} y=\frac{-(-8)\pm\sqrt[]{(-8)^2-4(1)(-9)}}{2(1)}=\frac{8\pm\sqrt[]{64+36}}{2} \\ y=\frac{8\pm\sqrt[]{100}}{2}=\frac{8\pm10}{2}=\frac{8}{2}\pm\frac{10}{2}=4\pm5 \end{gathered}[/tex]

Hence, you have two solutions for y:

y1 = 4 + 5 = 9

y2 = 4 - 5 = -1

You select only the positive solution, because negative lengths do not exist in real life. Hence, you have y = 9.

Finally, you replace the value of y into the expression x = y - 8 to obtain x:

[tex]\begin{gathered} x=y-8 \\ x=9-8 \\ x=1 \end{gathered}[/tex]

Hence, the width and length of the given recgtangle are:

width = 1 in

length = 9 in

Triangle XYZ is rotated 90° counterclockwise about the origin.The result is Triangle X'Y'Z', as shown below.

Answers

A shortcut for a 90° counterclockwise rotation:

• If the point (h, k) is rotated 90° counterclockwise rotation, then the final point will be (-k, h).

Answer:

Therefore the coordinates would be:

• X,(-5, 3) → ,X',(-3, -5)

,

• Y,(-1, 1) → ,Y',(-1, -1)

,

• Z,(-8, -4) → ,Z',(4, -8)

Then, the rule is (x, y) → (-y, x).

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.7 ft10 ft86 ft

Answers

Solution

Step 1

The volume of a triangular prism = Cross-sectional area x Length

Step 2

[tex]\begin{gathered} Cross\text{ sectional area = area of the triangle} \\ Base\text{ = 6ft} \\ Height\text{ = 7ft} \\ Cross\text{ sectional area = }\frac{1}{2}\times\text{ 7 }\times\text{ 6 = 21 ft}^2 \\ Volume\text{ = 21 }\times\text{ 10 = 210 ft}^3 \end{gathered}[/tex]

Step 3:

When 1 foot is added to each dimension of the prism.

The new dimensions becomes Base = 7, Height = 8 and length = 11

[tex]\begin{gathered} \text{Cross-sectional area = }\frac{1}{2}\text{ }\times\text{ 7 }\times\text{ 8 = 28 ft}^2 \\ Length\text{ = 11 ft} \\ Volume\text{ = 28 }\times\text{ 11 = 308 ft}^3 \end{gathered}[/tex]

Step 4

Find the percent increase in volume

[tex]\begin{gathered} \text{Percent increase in volume = }\frac{308\text{ - 210}}{210}\text{ }\times\text{ 100\%} \\ \text{= }\frac{98}{210}\text{ }\times100 \\ \text{= 46.7} \end{gathered}[/tex]

Final answer

46.7

Rick's average score on his first three tests in math is 80. What must he score on his next test to raise his average to 84?

Answers

SOLUTION

Now, we don't know the scores for his first three tests. But we are told that the average score for the first three tests was 80.

So, let the scores of the first three tests be a, b, and c. That means

[tex]\frac{a+b+c}{3}=80[/tex]

Also, let's assume the total score for his first three tests was x, This means that

[tex]\begin{gathered} a+b+c=x \\ or \\ x=a+b+c \end{gathered}[/tex]

Comparing with the first equation it means that

[tex]\begin{gathered} \frac{a+b+c}{3}=80 \\ \frac{x}{3}=80 \\ x=3\times80 \\ x=240 \end{gathered}[/tex]

Now we are asked "What must he score on his next test to raise his average to 84?"

So this means the total tests becomes 4. Hence

[tex]\begin{gathered} \frac{a+b+c+d}{4}=84 \\ \frac{x+d}{4}=84 \\ \frac{240+d}{4}=84 \\ 240+d=84\times4 \\ 240+d=336 \\ d=336-240 \\ d=96 \end{gathered}[/tex]

So he must score 96 to raise his average score to 84.

Hence, the answer is 96

please help me work through this, thank you very much!

Answers

Given

[tex]plane-height=650m[/tex]

To Determine: The angle function

Solution

The information can be represented as shown below

From the diagram below

[tex]\begin{gathered} tan\theta=\frac{650}{x} \\ \theta(x)=tan^{-1}(\frac{650}{x}) \end{gathered}[/tex]

what is 9932.8 rounded to the nearest integer

Answers

ANSWER

9933

EXPLANATION

We have the number 9932.8.

We want to round it to the nearest integer.

An integer is a number that can be written without decimal or fraction.

To do that, we follow the following steps:

1. Identify the number after the decimal

2. If the number is greater than or equal to 5, round up to 1 and add to the number before the decimal.

3. If the number is less than 5, round down to 0.

Since the number after the decimal is 8, we therefore have that:

[tex]9932.8\text{ }\approx\text{ 9933}[/tex]

Find the area of a regularpolygon with 5 sides that has aside length of 6 inches and anapothem of 9 inches. Area = ?

Answers

SOLUTION

Write out the formula

[tex]\text{area of regular polygon=}\frac{A\text{ }\times P}{2}[/tex]

where A= apothem and P= perimeter of the regular polygon

[tex]\begin{gathered} A=9in \\ P=6(5)=30in \\ \text{perimeter of the regular polygon is sum of all the lenght} \\ \text{the number of sides }\times the\text{ lenght of a side } \end{gathered}[/tex]

The area of the regular polygon is

[tex]\frac{9\times30}{2}=9\times15=135in^2[/tex]

3. You have a bad cough and have to attend your little sister's choir concert. You take cough drops that contain 100 mg of menthol in each drop. Every minute, the amount of menthol in your body is cut in half. Write a funetion that models the amount of menthol in your body over time. Use x for minutes and y for the amount of menthol, in mg, remaining in your body It is safe to take a new cough drop after the level of menthol in your body is less than 5 mg, How long will it be before you can take another cough drop?

Answers

We have the next information

100 mg of menthol

every minute the amount of menthol in your body is cut in half

we have the next variables

x= minutes

y= amount of menthol in mg remaining in your body

so the equation that can we model is

[tex]y=100(0.5)^x[/tex]

then we have that It is safe to take a new cough drop after the level of menthol in your body is less than 5 mg

y= 5mg

[tex]5=100(0.5)^x[/tex]

in order to know the time we need to solve the equation above

[tex]\begin{gathered} (0.5)^x=\frac{5}{100} \\ (0.5)^x=0.05 \end{gathered}[/tex]

then we isolate the x

[tex]x=4.32[/tex]

after 5 minutes you can take another cough drop

A rock has a mass of 14 g and a volume of 2 cm3. What is the density of the rock? *

Answers

We will determine the density of the rock as follows:

[tex]\rho=\frac{14g}{2cm^3}\Rightarrow\rho=7g/cm^3[/tex]

So, the density of the rock is 7 g/cm^3.

Which measurement is closest to the shortest distance in miles from Natasha's house to the library?

Answers

Given:

The objective is to find the shortest distance between house and library.

Consider the given triangle as,

Here, A represents the house, B the grocery and C the library.

Since it is a right angled triangle, the distance between the house and the library can be calculated using Pythagoras theorem.

[tex]\text{Hypotenuse}^2=Opposite^2+Adjacent^2[/tex]

Apply the given values in the above formula,

[tex]\begin{gathered} AC^2=17^2+0.9^2 \\ AC^2=289+8.1 \\ AC^2=297.1 \\ AC=\sqrt[]{297.1} \\ AC=17.237\text{ miles} \end{gathered}[/tex]

If Natasha walks through Grocery store,

[tex]\begin{gathered} AC^{\prime}=AB+BC \\ AC^{\prime}=0.9+17 \\ AC^{\prime}=17.9\text{ miles} \end{gathered}[/tex]

By comparing the two ways, ACHence, the hypotenuse distance AC, between house and library is the closest distance.

A bucket can hold 26 litres of water when it is 8/9 full. How many litres can it hold when it is full?

Answers

Answer:

[tex]29.25\text{ liters}[/tex]

Explanation:

Here, we want to know the amount of water the bucket can hold when full

Let us have the volume as x liters

Mathematically:

[tex]\begin{gathered} \frac{8}{9}\times x\text{ = 26} \\ \\ 8x\text{ = 9 }\times\text{ 26} \\ x=\text{ }\frac{9\times26}{8} \\ \\ x\text{ = 29.25 liters} \end{gathered}[/tex]

Which of the following logarithmic expressions have been evaluated correctly?

Answers

Given:

Logarithmic expressions in options.

Required:

Select correct calculated option.

Explanation:

1). ln 1 = 0

2).

[tex]log_29=3.1699250014[/tex]

3)

[tex]log\frac{1}{100}=-2_[/tex]

4).

[tex]log_3(-1)=NaN[/tex]

5).

[tex]log_5\text{ }\frac{1}{125}=-3[/tex]

Answer:

Hence, option A and E are correct.

Mrs walters had a bag full of candy she wanted to share with 18 students. If she had 335 pieces of candy how many pieces will each student get

Answers

Each student will get 18 pieces of candy. 18x18=324 or 335/18=18remainder,leftovers 11

Construct a polar equation for the conic section with the focus at the origin and the following eccentricity and directrix.Conic Eccentricity Directrix1ellipsex= -75e =

Answers

In order to find the polar equation of the ellipse, first let's find the rectangular equation.

Since the directrix is a vertical line, the ellipse is horizontal, and the model equation is:

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

Where the center is located at (h, k), the directrix is x = -a/e and the eccentricity is e = c/a.

So, if the eccentricity is e = 1/5 and the directrix is x = -7, we have:

[tex]\begin{gathered} \frac{c}{a}=\frac{1}{5}\rightarrow a=5c\\ \\ -\frac{a}{e}=-7\\ \\ \frac{a}{\frac{c}{a}}=7\\ \\ \frac{a^2}{c}=7\\ \\ \frac{25c^2}{c}=7\\ \\ 25c=7\\ \\ c=\frac{7}{25}\\ \\ a=5\cdot\frac{7}{25}=\frac{7}{5} \end{gathered}[/tex]

Now, let's calculate the value of b with the formula below:

[tex]\begin{gathered} c^2=a^2-b^2\\ \\ \frac{49}{625}=\frac{49}{25}-b^2\\ \\ b^2=\frac{25\cdot49}{625}-\frac{49}{625}\\ \\ b^2=\frac{24\cdot49}{625}\\ \\ b^2=\frac{1176}{625} \end{gathered}[/tex]

Assuming h = 0 and k = 0, the rectangular equation is:

[tex]\frac{x^2}{\frac{49}{25}}+\frac{y^2}{\frac{1176}{625}}=1[/tex]

Now, to convert to polar form, we can do the following steps:

[tex]\begin{gathered} \frac{25x^2}{49}+\frac{625y^2}{1176}=1\\ \\ 600x^2+625y^2=1176\\ \\ 600(r\cos\theta)^2+625(r\sin\theta)^2=1176\\ \\ 600r^2\cos^2\theta+625r^2\sin^2\theta=1176\\ \\ r^2(600\cos^2\theta+625\sin^2\theta)=1176\\ \\ r^2=\frac{1176}{600\cos^2\theta+625\sin^2\theta}\\ \\ r=\sqrt{\frac{1176}{600\cos^2\theta+625\sin^2\theta}}\\ \\ r=\sqrt{\frac{1176}{600+25\sin^2\theta}} \end{gathered}[/tex]

Another way of writing this equation in polar form is:

[tex]r=\frac{ep}{1+\sin^2\theta}[/tex]

Where p is the distance between the focus and the directrix.

Since the foci are located at (±c, 0) = (±7/25, 0) and the directrix is x = -7, the distance is:

[tex]p=7-\frac{7}{25}=\frac{175}{25}-\frac{7}{25}=\frac{168}{25}[/tex]

So the equation is:

[tex]\begin{gathered} r=\frac{\frac{1}{5}\cdot\frac{168}{25}}{1+\sin^2\theta}\\ \\ r=\frac{\frac{168}{125}}{1+\sin^2\theta}\\ \\ r=\frac{1.344}{1+\sin^2\theta} \end{gathered}[/tex]

Find the volume of the cone.9 cmr= 6 cmV = [?] cm3

Answers

The radius of cone is r = 6 cm.

The height of cone is h = 9 cm.

The formula for the volume of cone is,

[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

Substitute the values in the formula to determine the volume of cone.

[tex]\begin{gathered} V=\frac{1}{3}\pi\cdot(6)^2\cdot9 \\ =339.29 \\ \approx339.3 \end{gathered}[/tex]

Thus, volume of cone is 339.3 cm^3.

P(-3,-5) and Q(1.–3) represent points in a coordinate plane. Find the midpoint of Pe.

Answers

By formula,

Midpoint between two points PQ =

[tex](\frac{x_2+x_1}{2},\text{ }\frac{y_2+y_1}{2})[/tex][tex]\begin{gathered} (\frac{1+-3}{2},\text{ }\frac{-3+\text{ -5}}{2}) \\ \\ \frac{-2}{2},\text{ }\frac{-8}{2}\text{ = (-1,-4)} \\ \\ \end{gathered}[/tex]

So, (-1,-4) (option 3)

The Thompson family and the Kim family each used their sprinklers last summer. The Thompson family's sprinkler was used for 25 hours. The Kim family'ssprinkler was used for 35 hours. There was a combined total output of 1075 L of water. What was the water output rate for each sprinkler if the sum of the tworates was 35 L per hour?Thompson family's sprinkler:Kim family's sprinkler:

Answers

Let x be the rate of water output by the Thompson family and let y be the rate of water output by the Kim family.

We know that the Thompson family sprinkler was used for 25 hours, Kim's family sprinkler was used for 35 hours and that there was a combined total output of 1075 L of water; then we have the equation:

[tex]25x+35y=1075[/tex]

We also know that the combined water output was 35 L per hour, then:

[tex]x+y=35[/tex]

Hence we have the system of equations:

[tex]\begin{gathered} 25x+35y=1075 \\ x+y=35 \end{gathered}[/tex]

To solve this system we solve the second equation for y:

[tex]\begin{gathered} x+y=35 \\ y=35-x \end{gathered}[/tex]

And we plug this value in the first equation and solve for x:

[tex]\begin{gathered} 25x+35(35-x)=1075 \\ 25x+1225-35x=1075 \\ -10x=1075-1225 \\ -10x=-150 \\ x=\frac{-150}{-10} \\ x=15 \end{gathered}[/tex]

Once we have the value of x we plug it in the expression of y:

[tex]\begin{gathered} y=35-15 \\ y=20 \end{gathered}[/tex]

Therefore we have that:

[tex]\begin{gathered} x=15 \\ y=20 \end{gathered}[/tex]

which means:

Thompson family's sprinkler: 15 L per hour

Kim family's sprinkler: 20 L per hour.

In an elementary school, 20% of the teachers teach advanced writing skills. If there are 25writing teachers, how many teachers are there in the school?

Answers

Answer:

125 teachers

Explanation:

We were given that:

20% of teachers teach advanced writing skills = 20/100 = 0.2

Number of writing teachers = 25

The total number of teachers = x

We will obtain the number of teachers in the school as shown below:

[tex]\begin{gathered} \frac{No.of.writing.teachers}{Total.number.of.teachers}\times100\text{\%}=20\text{\%} \\ \frac{25}{x}\times100\text{\%}=20\text{\%} \\ \frac{25\times100\text{\%}}{x}=20\text{\%} \\ \text{Cross multiply, we have:} \\ x\cdot20\text{\% }=25\times100\text{\%} \\ \text{Divide both sides by 20\%, we have:} \\ \frac{x\cdot20\text{\%}}{20\text{\%}}=\frac{25\times100\text{\%}}{20\text{\%}} \\ x=\frac{2500}{20} \\ x=125 \\ \\ \therefore x=125 \end{gathered}[/tex]

Hence, the total number of teachers in the school is 125

eln(x-3) = 9what are the steps to solve? I am so confused, what is ln even??

Answers

[tex]e^{In(x-3)}=9^{}[/tex][tex]Ine^{In(x-3)}=In\text{ 9}[/tex][tex]In(x-3)=In\text{ 9}[/tex][tex]\begin{gathered} x-3=9 \\ x=9+3 \\ x=12 \end{gathered}[/tex]

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 4 liters of synthetic oil. In order to make 531 litersof Petrolyn oll, how many liters of synthetic oil are needed?

Answers

The ratio 4 : 5 means that in every 9 liters of oil, we will have 4L of synthetic oil and 5L of natural oil.

Divide the 531 by 9 to get how many times we have to amplify the ratio:

[tex]\frac{531}{9}=59[/tex]

Multiply the ratio by 59:

[tex]4\colon5\rightarrow(4)(59)\colon(5)(59)\rightarrow236\colon295[/tex]

Meaning that for the 531L of oil, 236L would be synthetic and 295L natural.

Answer: 236 Liters.

Solve the inequality 3.5 >b + 1.8. Then graph the solution.

Answers

[tex]3.5\ge b+1.8[/tex]

Collect like terms

[tex]\begin{gathered} 3.5-1.8\ge b \\ 1.7\ge b \\ b\leq\text{ 1.7} \end{gathered}[/tex]

Consider the expression 6+(x+3)^2. Tabulate at least SIX different values of the expression.​

Answers

Considering the expression 6+(x+3)^2. the table of at least SIX different values of the expression is

x               y

0            15

1             22

2            31

3            42

4            55

5            70

How to determine the he table of at least SIX different values of the expression

The table is completed by substituting the values of x in the given expression as follows

6 + (  x + 3 )^2

for x = 0, y = 6 + ( 0 + 3) ^2 = 15

for x = 1, y = 6 + ( 1 + 3) ^2 = 22

for x = 2, y = 6 + ( 2 + 3) ^2 = 31

for x = 3, y = 6 + ( 3 + 3) ^2 = 42

for x = 4, y = 6 + ( 4 + 3) ^2 = 55

for x = 5, y = 6 + ( 5 + 3) ^2 = 70

Learn more about table completion here:

https://brainly.com/question/29232584

#SPJ1

Data Set A has a Choose... interquartile range than Data Set B. This means that the values in Data Set A tend to be Choose... the median.

Answers

The median of the given data set will be 35.

What do we mean by media?In statistics and probability theory, the median is the number that separates the upper and lower half of a population, a probability distribution, or a sample of data. For a data set, it might be referred to as "the middle" value.

So, The variability metrics for each class are listed below:

The further classifications: Class A; Class B;

Range: 30 Range: 30IQR: 12.5 IQR: 20.5MAD: 7.2 MAD: 9.2

Greater variability in the data set is suggested by class B's wider interquartile range and mean absolute deviations.

Set A's median will be:

median = (20 + 32+ 36+ 37 + 50) / 5median = 175 / 5median = 35

Therefore, the median of the given data set will be 35.

To learn more about Median click on the link

brainly.com/question/26151333

#SPJ9

Find the quantities indicated in the picture (Type an integer or decimal rounded to the nearest TENTH as needed.)

Answers

Remember that 3, 4 and 5 is a Pythagorean triple, since:

[tex]3^2+4^2=5^2[/tex]

Since one side of the given right triangle has a length of 3 and the hypotenuse has a length of 5, then, the remaining leg b must have a length of 4.

Therefore:

[tex]b=4[/tex]

The angles A and B can be found using trigonometric identities.

Remember that the sine of an angle equals the quotient of the lengths of the side opposite to it and the hypotenuse of the right triangle.

The side opposite to A has a length of 3 and the length of the side opposite to B is 4. Then:

[tex]\begin{gathered} \sin (A)=\frac{3}{5} \\ \sin (B)=\frac{4}{5} \end{gathered}[/tex]

Use the inverse sine function to find A and B:

[tex]\begin{gathered} \Rightarrow A=\sin ^{-1}(\frac{3}{5})=36.86989765\ldotsº \\ \Rightarrow B=\sin ^{-1}(\frac{4}{5})=53.13010235\ldotsº \end{gathered}[/tex]

Then, to the nearest tenth:

[tex]\begin{gathered} A=36.9º \\ B=53.1º \end{gathered}[/tex]

Therefore, the answers are:

[tex]undefined[/tex]

given AD is congruent to AC and AB is congruent to AE, which could be used to prove?

Answers

Answer

Option B is correct.

SAS | 2 sides and the angle between them in one triangle are congruent to the 2 sides and the angle between them in the other triangle, then the triangles are congruent.

Explanation

We have been told that the two triangles have two sets of sides that are congruent to each other.

And we can see that the angle between those congruent sides for the two triangles is exactly the same for the two triangles.

So, it is easy to see that thes two triangles have 2 sides that are congruent and the angle between these two respective sides are also congruent.

Hope this Helps!!!

A translation is a type of transformation in which a figure is flipped,TrueFalse

Answers

[tex]\begin{gathered} The\text{ given statement is false.} \\ A\text{ translation is a type of transformation which slides the figure.} \end{gathered}[/tex]

Hello Just Want to make sure my answer is correct

Answers

So,

Let's remember that:

The three point postulate states that:

Through any three noncollinear points, there exists exactly one plane.

The Plane-Point Postulate states that:

A plane contains at least three noncollinear points.

As you can notice, the diagram illustrates that:

Given that a plane exists, then, there are three collinear points.

That's the three point postulate.

Other Questions
20 POINTS FOR THE CORRECT ANSWERSThe Triangle Shirtwaist Company fire in New York City was one of the worst workplace disasters in American history. Research the event on the Internet. Describe the reforms that were put in place after the disaster. Do you think the reforms influenced other reforms around the country? At the end of WWII, the United States was the only nation that was financially better off than it had been at the start of the war. Which challenge did settlers face due to the location of Jamestown?O The weather was freezing in every season.O There were no bodies of water nearby.O The swampy land attracted mosquitoes.O They could not bring their ships up to the settlement. One day in lab, while adding a gnarled root to a dark liquid bubbling in an iron cauldron, your friend Leila (an expert chemist) says this:"Group 1A metal hydrides react with water to produce hydroxides and hydrogen gas."Using Leila's statement, and what you already know about chemistry, predict the products of the following reaction.Be sure your chemical equation is balanced!KH(s)+ H2O(l)= Give the slope and the y-intercept of the line y= 8x+7. Make sure the y-intercept is written as a coordinate. How did the author learn to cope with his mental health conditions? Provide at least three details from the text or images to support your response. Ashamed Over My Mental Illness, I Realized Drawing Might HelpWilliam Doan, Professor of Theater, Pennsylvania State University What is (3 x 10^7) (3 x 10^8)? what do it mean hydroelectric what are the nominal and effective costs of trade credit under the credit terms of 1/20, net 40? assume a 365-day year. do not round intermediate calculations. round your answers to two decimal places. nominal cost of trade credit: % effective cost of trade credit: % What are the major topics contained in Washington's constitution? Check all that apply.citizens' rightspolitical rightsgovernment operationsgovernment structuregovernment responsibilities Write an equation of a line in SLOPE INTERCEPT FORM that goes through (-5,-3) and is parallel to the line y = x +5. Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB. Point B is the midpoint of segment TY. What are the coordinates of point Y? A) What is the perimeter of the regular hexagon shown above?B) What is the area of the regular hexagon shown above?(see attached image) Review the chart.A graph titled Local Government Revenue shows percentages 0 to 40 on the y-axis and types of revenue on the x-axis. From greatest amount: State funds, 32 percent. Property tax, 30 percent. Fees, 23 percent. Sales tax, 7 percent. Federal funds, 4 percent. Other taxes, 4 percent.Other than state funds, which source provides the most revenue for local governments?feessales taxesfederal fundsproperty taxes 8/13 x 3 =SHOW YOUR WORKl What is an equation of the line that passes through the points (-3,3) and (3, 7)?Put your answer in fully reduced form. an ideal parallel-plate capacitor consists of a set of two parallel plates of area a separated by a very small distance d. when the capacitor plates carry charges q and -q, the capacitor stores energy u0. if the separation between the plates is doubled, how much electrical energy is stored in the capacitor? 3.21. a causal lti system has the following system function:(2(a) what is the roc for h(z)? (b) determine if the system is stable or not. (e) determine the difference equation that is satisfied by the input x[n) and the output yin. (d) use a partial fraction expansion to determine the impulse response h[n]. 3. Jackson's soccer coach filled the teams' water container with 40 quarts ofwater. Since 32 ounces equal 1 quart, how many times can a soccer player fill a16-ounce water bottle before using all the water? how do you find the x intercept for -(x-3)^2+12