Mathematics Middle School

A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²

Answers

Answer 1

the
Answer=408in2
hoped i helped

Answer 2

Answer:

A=408in²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²

Related Questions

to the nearest tenth of an inch how long is the foit of a person who wears a size 10 1/2

Answers

Your answer would be 10.5. To figure out how to round 10 1/2 to the nearest tenth of an inch, first realize that 1/2 = 0.5 and that's already rounded to the nearest tenth. and 10 is a whole number so we wouldn't change that. 10 + 0.5 = 10.5.

Hope this helps,
♥A.W.E.S.W.A.N.♥

Using a standard shoe size chart, the foot length for a size 10 1/2 shoe is approximately 11.1 inches when rounded to the nearest tenth of an inch.

To determine the length of the foot for a person who wears a size 10 1/2 shoe to the nearest tenth of an inch, we reference a standard shoe size chart. Shoe sizes are an approximation of the foot length they are intended to fit, with different increments representing each half-size increase. For a size 10 shoe, the approximate length is given as around 10.9 to 11 inches. Considering half sizes add approximately 1/6 of an inch, a size 10 1/2 would be approximately 11.1 inches long when measured accurately. However, shoe size to foot length can vary slightly by manufacturer, so this is a general estimate.

What value of x would make rq tangent to Circle P at point Q?

Answers

If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency. This means that ΔPRQ would be a right triangle. We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\x=\frac{-18 \pm \sqrt{18^2-4(1)(-144)}}{2(1)} \\ \\x=\frac{-18 \pm \sqrt{324--576}}{2} \\ \\x=\frac{-18 \pm \sqrt{324+576}}{2} = \frac{-18 \pm \sqrt{900}}{2}[/tex]
This gives us
[tex]x=\frac{-18 \pm 30}{2} = \frac{-18+30}{2} \text{ or } \frac{-18-30}{2}[/tex]
Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have
x = (-18+30)/2 = 12/2 = 6.

The value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

From the given circle geometry, since the line PQ is perpendicular to QR, hence the triangle PQR is a right-angle triangle.

Given the following from the geometry;

Adjacent side = QR = 12Opposite side = PQ = 9Hypotenuse side = PR = 9 + x

Using the pythagoras theorem;

[tex]c^2=a^2+b^2\\(9+x)^2=9^2+12^2\\81+18x+x^2=81+144\\x^2+18x+81-225=0\\x^2+18x-144=0\\[/tex]

Factorize the result to have;

[tex]x^2+24x-6x-144=0\\x(x+24)-6(x+24)=0\\(x-6)(x+24) =0\\x=6 \ and \ -24\\[/tex]

Since the value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

Learn more on circle geometry here: https://brainly.com/question/22077295

jan typically earns $435 each week of which 78.30 withheld for taxes. what percent of jan's earnings are withheld each week solve

Answers

78.30 / 435 = 0.18
0.18 = 18% is withheld

Coco buys a very large rectangular chocolate bar and decides that each day, she
will cut the largest possible square off of the bar and eat it. When the remaining
part of the chocolate bar is a square, she will eat all that is left. The table shows
the area, in square centimeters, of the square Coco eats on each day. If Coco
finishes the chocolate bar on Day 6, what was the length of the longer side of the
chocolate bar when Coco bought it?

Table is included need answer ASAP.

Answers

On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, 6 cm, 3 cm and 3 cm, respectively. Since we know the originally chocolate bar was a rectangle the 6 squares must fit together as shown. The length of the longer side of the original chocolate bar, then, was 15 + 15 + 9 =39 cm

Answer: 39

Step-by-step explanation:

On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, respectively. Then find the slope versus. 15*15+9*1=236. Then you have to do 236-200=36. Later 36+3, since there were three numbers to get 39.

the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x+10y=110

1 find and interpret the y-intercept.
2find and interpret the x-intercept.
3how many grams of fiber does an orange contain?
4how many grams of fiber does an apple contain?
5is it possible for the package to contain 15 apples? explain.

Answers

The y intercept is the value of y when x = 0.

Similarly, the x intercept is the value of x when y = 0.

To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. (The image will show the process of finding each).

For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5.

However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.

A container is 25ft × 50ft.If you have to draw using the scale 1 inch:5ft,what are the dimensions of the container that you will draw?

Answers

Set up a proportion to answer this:
[tex]\frac{1 \text{in}}{5 \text{ft}}= \frac{x \text{in}}{25 \text {ft}}[/tex]
Cross multiply:
[tex]5*x=1*25 \\ 5x=25[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{25}{5} \\ x=5[/tex]
The scale model that matches the 25 ft side of the container will be 5 inches.
The second proportion:
[tex]\frac{1 \text{in}}{5 \text{ft}} = \frac{x \text{in}}{50 \text{ft}}[/tex]
Cross multiply:
[tex]5*x=1*50 \\5x = 50[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{50}{5} \\x = 10[/tex]
The part of the scale model that matches the 50 ft side of the container will be 10 inches.

while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?

Answers

Write a system of equation based on the problem
⇒ Erika bought 6 postcards
E = 6
⇒ Erika bought twice as many postcards as Nathan bought
E = 2N
2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
N = 6/2
N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards

The number of postcards Samantha bought is 12.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Erika bought 6 postcards

Let the number of postcards Erika bought is given by x

Erika bought twice as many postcards as Nathan bought

Let the number of postcards Nathan bought is given by y

x = 2y

Samantha bought 4 times as many postcards as Nathan

Let the number of postcards Samantha bought is given by z

z = 4y

The value of x = 6, so

6 = 2y

y = 3

z = 4y

z = 12

Postcards bought by Samantha is 12.

To know more about Equation

https://brainly.com/question/10413253

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The median number of coloring contests won by 4 kids in a certain year is 5. The range of number of contests won by those kids that year is 6.
Determine if the following statement is true, is false, or does not contain enough information.
At least one of the kids won exactly 5 coloring contests.

Answers

Final answer:

The statement that at least one of the kids won exactly 5 coloring contests based on the given median and range is not necessarily true; the information provided doesn't specify individual winnings.

Explanation:

The statement that at least one of the kids won exactly 5 coloring contests is false based on the given information. The median of a dataset is the middle value when the numbers are arranged in order. However, knowing the median is 5 does not necessarily mean any of the values in the dataset are 5. It only indicates that half of the kids won more than 5 contests, and half won fewer. The range of 6 tells us the difference between the highest and lowest values but does not provide specific information about any of the kids winning exactly 5 contests.

The given data does not contain enough information to accurately say whether a kid won exactly 5 contests or not, thus making the initial claim not necessarily true.

what is 13 divide to 83.2

Answers

83.2 divided by 13 = 6.4

maybe its 52? Im still learning the basics

You are working as an apprentice for the bksb Newcastle Arena. When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage’s concert?

Answers

2x + 5x = 21000
7x = 21000
x = 21000/7
x = 3000

That means the money was split up

2 * 3000 = 6000
5 * 3000 = 15000

The arena got the 2 part of the ratio.
The arena got 6000 pounds. I don't have that L on my keyboard.

Final answer:

The arena therefore made £6,000 from Phillip Cage's concert.

Explanation:

To find the amount of money the arena made from Phillip Cage's concert:

Calculate the total parts in the ratio: 2 + 5 = 7 parts.Divide the total money by the total parts: £21,000 / 7 = £3,000 per part.Finally, multiply the arena's share of parts (2 parts) by the value of each part: £3,000 x 2 = £6,000.

Which Value of t makes the following true -16+t<-32

Answers

T would equal anything lower than -17 (basically, -18, -19, -20, etc). This is because -16 + -17 = -33.

Angles 1 and 5 are____

A.) alternate exterior
B.) alternate interior
C.) supplementary
D.) right

Answers

Angles 1 and 5 are supplementary because they are on the same line which means they equal 180°.

Hope this helps :)

Answer: Angles 1 and 5 are supplementary.

Step-by-step explanation:

id did this and ...

https://learning.k12.com/content/enforced/361756-COF_ID92747/Extended%20Answer%202.GIF?_&d2lSessionVal=6bj13oL4Dap6gjQyXIPmVf9S6

What is the length of GE? Explain how you determined the length or show your work.

Answers

Post a pic for me so i can answer

Which is a correct classification for the triangle?
A. Acute triangle
B. Obtuse triangle
C. Equiangular triangle
D. Right angle

Answers

The third angle is 180 - 53 - 27 = 100o
That angle is greater than 90o

The triangle is obtuse
B<<<<===== answer

For each pair of shapes decide whether they are congruent similar or neither

Answers

what are the shapes? ._.

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. Length (cm) Width (cm) 6 9 36 48 15

Answers

sorry but until you can submit the question correctly i cant help

a table should be shown like this

candy|bags
2 | 1

Malinda’s pair of ski boots and skis have a mass of 6 kilograms. What is the mass of one ski boot and one ski

Answers

6/2 = 3 kg is your answer

6/2=3 kg is your answer

If eight people sat at a round dinner table and each person had to shake everyone else’s hand once how many handshakes will take place

Answers

Each person shakes 7 hands, but once you count the handshake between A and B, you don't need to count the handshake between B and A. There are a total of 8*7/2 = 28 handshakes.

Another way to look at it is
7 +6+5 +4 + 3 + 2 + 1 = 28

This problem is like the shaking hands problem having to do with what happens at the end of a hockey team. The winners sometimes stay on the ice and the first player goes down the line and "High Fives" all the other members of the team.

He's done so he goes to the dressing room. No more high 5s for him.
Next the second player does the same thing. Then he leaves the ice and so on down the to the last two players when one high fives the other.

Done.

Your problem is exactly the same.

The formula as you probably know is Sum = (n + 1)*n/2

anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer

Answers

As you can see in the picture, the ladder leaning against the wall makes a right triangle with the sides being the wall, the ground and the ladder. The ladder is opposite the right angle and so is the hypotenuse (the longest side of the triangle). The angle between the ladder and the ground is labeled a.

We know the height of the ladder (10 feet) and also the height off the ground of the windowsill (8.5 feet). That second side is opposite the angle a. So, when we consider angle a we know the length of the side opposite and of the hypotenuse.

Recall the sin of an angle can be found by using (opposite/hypotenuse).

So we have: sin a = 8.5 / 10. That is, sin a = .85
We are looking for the angle whose sin is .85 and can find this using the inverse sin function.

[tex] sin^{-1}.85=a [/tex]
a is approximately 58.211669 degrees which is less than the 65 degrees and so safe.

Just to be on the safe side, I remind you that your calculator must be in degrees (not radians) to do this problem.

A semi circle has a radius of 5cm. What is the area of the semi circle?
Use 3.14 for pi.

A.) 15.70
B.) 31.40
C.) 39.25
D.) 78.50

Answers

Hello!

We know that the formula for area of a circle is:

A = pi × r^2

A semi circle is half of a circle, which means that its formula would be have of a circles as well.

Formula for area of a semi circle:

A = (pi × r^2) / 2

We'll use the same formula for a semi circle, only we'll divide it by 2 since it's a half circle.

A = (pi × r^2) / 2

A = (3.14 × r^2) / 2

A = 78.5 / 2

A = 39.25

ANSWER:

The area of the semi circle is C.) 39.25 centimetres squared.

Please Help!!!!!!!! Only Circled Questions!!!!!!!!!!! Show all Steps

Answers

Hello!

I'll solve the first two questions for you and show you how to do them step by step!

4.

We must use a certain formula to find the volume of a cylinder. The formula is:

V = pi * r^2 * h

We already have that information!

Pi = approximately 3.14

Radius = 7.5 in

Height = 3.6 in

Substitute:

(Make sure ro solve it step by step, rather than do it all at once)

V = 3.14 * 7.5^2 * 3.6

V = 176.625 × 3.6

V = 635.85

Rounded to the nearest cubic unit, the volume of this cylinder is 636 inches cubed.

**Don't forget to write a small 3 above inches to indicate that it is cubed!

5.

Aha! This time they haven't given you the radius, but the diameter.

Since the radius is half of the diameter, we must divide the diameter by 2 to find it.

r = d ÷ 2

r = 28 ÷ 2

r = 14 cm

Like the previous question, we have enough information to solve this! We'll use the same formula to calculate the volume of this cylinder.

V = pi * r^2 * h

Pi = Approximately 3.14

Radius = 14 cm

Height = 5 cm

Substitute:

V = 3.14 * 14^2 * 5

V = 615.44 * 5

V = 3,077.2 cm cubed

Rounded to the nearest cubic unit, the volume of this cylinder would be 3,077 centimetres cubed.

REMINDERS:

Use the SAME formula for all of the other questions regarding volume of a cylinder. The formula fof volume is:

V = pi * r^2 * h

Make sure you write the small 3 above it!

(a) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below.

(b) What’s the surface area of this tent? Show all work and write your answer below.

Answers

It is a triangular prism.

Answer:the answer is square pyramid

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!ASAP!!!!!!!!!!!
The Charts Are in order for each Question
1.What is the median value of the data set shown on the line plot?

Enter your answer in the box.

2.A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?

A.There is no overlap between the two distributions.
B.The degree of overlap between the two distributions is moderate.
C.The degree of overlap between the two distributions is low.
D.The degree of overlap between the two distributions is high.

Answers

1 is 30
2 is D i think. I'll comment if I get a different answer

A certain recipe calls for 2 1/3 cups of sugar, how much sugar is needed to make 1/3 of the recipe?

Answers

Suger needed
2 1/3 x 1/3
=7/9 cups

2 1/3 / 3/1

2 1/3 = 7/3

7/3 / 3/1
7/3 x 1/3

7 x 1 = 7
3 x 3 = 9

7/9

The answer is 7/9 cups

Karim sent a chain email to 10 of his friends. The number of people who got the email increases by a factor of 1.4 every week. Write an expression that best represents the
number of people who got the email after three weeks.

Answers

Final answer:

The number of people who got the email after three weeks can be calculated using the formula: F = 10 * (1.4)^t, where F represents the number of people, 10 represents the initial number of friends, 1.4 represents the factor of increase, and t represents the number of weeks. After substituting t = 3, we find that approximately 27 people will have received the email after three weeks.

Explanation:

To represent the number of people who got the email after three weeks, we can use the formula:

F = 10 * (1.4)^t

Where:

F represents the number of people who got the email10 represents the initial number of friends Karim sent the email to1.4 represents the factor by which the number of people increases each weekt represents the number of weeks

Substituting t = 3 into the formula, we can calculate the number of people who got the email after three weeks.

F = 10 * (1.4)^3 = 10 * 2.744 = 27.44

Therefore, after three weeks, approximately 27 people will have received the email.

The correct expression is:

(B) [tex]$10 \cdot 1.4^6$[/tex]

Sure, let's break it down step by step:

1. Initial number of people who received the email: Karim sent the email to 10 friends, so initially, [tex]$10$[/tex] people received it.

2. Factor by which the number of recipients increases each week: The number of recipients increases by a factor of [tex]$1.4$[/tex] each week.

3. Number of people who received the email after 1 week: To find this, we multiply the initial number of recipients by the factor for 1 week, which is [tex]$10 \times 1.4 = 14$.[/tex]

4. Number of people who received the email after 2 weeks: Now, we take the number of recipients after 1 week (14) and multiply it by the factor for another week, [tex]$1.4$[/tex], giving us [tex]$14 \times 1.4 = 19.6$[/tex]. Since we can't have a fraction of a person, we round this up to the nearest whole number, which is [tex]$20$.[/tex]

5. Repeating this process for 6 weeks: We continue this process for each additional week until we reach the 6th week.

6. General formula for the number of recipients after [tex]$n$[/tex] weeks: After [tex]$n$[/tex] weeks, the number of recipients can be calculated using the formula:

[tex]\[10 \times 1.4^n\][/tex]

So after 6 weeks, the expression becomes:

[tex]\[10 \times 1.4^6\][/tex]

7. Final Answer: The correct choice is (B) [tex]$10 \times 1.4^6$.[/tex]

The correct question is:

Karim sent a chain email to 10 of his friends. The number of people who got the on: il increases by a factor of 1.4 every week.

Which expression gives the number of people who got the email after 6 weeks?

Choose 1 Anwer:

(A) [tex]$(10 \cdot 1.4)^6$[/tex]

(5) [tex]$10 \cdot 1.4^6$[/tex]

(D) [tex]$(10+1.4) \cdot 6$[/tex]

A total of 757 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

350 adult tickets were sold

Final answer:

To find the number of adult tickets sold, a system of equations is created based on the total tickets sold (757) and the fact that there were 57 more student tickets sold. Solving for x gives us 350 adult tickets.

Explanation:

How to Determine the Number of Adult Tickets Sold

To determine how many adult tickets were sold for the school play when there is a known total of 757 tickets and that 57 more student tickets were sold than adult tickets, we can set up a system of equations to solve for the number of adult and student tickets. Let's let x represent the number of adult tickets, and x + 57 represent the number of student tickets since there were 57 more student tickets sold than adult tickets.

Based on the total number of tickets sold, the following equation represents this relationship:

x (adult tickets) + x + 57 (student tickets) = 757

Combining the like terms gives us:

2x + 57 = 757

Subtracting 57 from both sides gives us:

2x = 700

Dividing both sides by 2 gives us:

x = 350

So, the number of adult tickets sold is 350.

HELP 11190 POINTS

The dot plot shows the number of visitors. Determine the median of the data set.
A) 56
B) 61
C) 62
D) 68

Answers

the answer will be 62

Solution:

we are given with a dot plot where we can see that the number of visitors.

we have been asked to find the median of the data set.

From the data plot , we can write the data set as below

56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.

Here the data set is already arranged in the ascending order.

Now if the number of data points in the data set is odd then middle number is the median.

If the number of data points in the data set is even then the sum of middle two divided by 2 gives the median.

Here the number of data points in the data set is odd.

So the median is 8th value from any side.

Hence the median of the given data set is 62.

Choose the correct product of (3x + 8)2. 9x2 − 64 9x2 + 64 9x2 + 48x + 64 9x2 − 48x + 64

Answers

Answer: The correct answer is 9x^2 + 48^x + 64

Step-by-step explanation:

The correct answer is 9x^2 + 48^x + 64

Mr.holms used 4/5 of a carton of orange juice.he used equal amounts of leftover juice for two servings what fraction of the whole carton of juice did he use for each serving

Answers

he used 8/5 of juice there you go

6.The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle?

Answers

A. 21 + 12 = 33

B. 12 + 21 = 33

C. 21 + 21 = 33

D. 1 + 2 = 33

If it is multiple choice. Like more than one. Then it's A and B. If it's not. Then It's A. I hope I helped you. I don't think I was any help.

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