Find the surface area of the prism below.

Find The Surface Area Of The Prism Below.

Answers

Answer 1

Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]


Related Questions

Find the values of the following expressions if a = 3,b=2,c=1,x=2 and y=0. Please answer quickly
NO LINKS Please!

Answers

Answer:

- 3

Step-by-step explanation:

a x a x a / 3 - 6 / c x c

3 x 3 x 3 / 3 - 6 / 1 x 1

9 - 6

-3 (ANS)

PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.

Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.

Answers

Answer:

4 in

Step-by-step explanation:

Let the missing length is x.

According to Pythagorean, we have the following equation

[tex]x^2+3^2=5^2[/tex][tex]x^2+9=25[/tex][tex]x^2=25-9[/tex][tex]x^2=16[/tex][tex]x=\sqrt{16}[/tex][tex]x=4[/tex]

Answer:

Missing length = 4 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 3 inb = ?c = 5 in

Substitute given values into the formula and solve for ?:

⇒ 3² + ?² = 5²

⇒ 9 + ?² = 25

⇒ ?² = 25 - 9

⇒ ?² = 16

⇒ ? = √16

⇒ ? = 4 in

Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?

Answers

Answer:

$31

Step-by-step explanation:

295 minus 16 is 279

that's how much they were all together

and divide 279 by 9 and you get 31

Solve the following linear inequalities given in the first column and choose the appropriate results

Answers

Answer:

[tex]g\geq 17[/tex]

[tex]g > -10[/tex]

[tex]g > -1[/tex]

Step-by-step explanation:

[tex]7(g-19)\geq -14[/tex]

Divide both sides by 7:

[tex]g-19\geq -2[/tex]

Add 19 to both sides:

[tex]g\geq 17[/tex]

[tex]3(7g+17) > -19+14g[/tex]

Expand brackets:

[tex]21g+51 > -19+14g[/tex]

Subtract 14g from both sides:

[tex]7g+51 > -19[/tex]

Subtract 51 from both sides:

[tex]7g > -70[/tex]

Divide both sides by 7:

[tex]g > -10[/tex]

[tex]6(-6g+6) > -2(19g-17)[/tex]

Expand brackets:

[tex]-36g+36 > -38g+34[/tex]

Add 38g to both sides:

[tex]2g+36 > 34[/tex]

Subtract 36 from both sides:

[tex]2g > -2[/tex]

Divide both sides by 2:

[tex]g > -1[/tex]

Plis somebody help me with this
Which table represents a relationship that is not a function?

Answers

Answer:

T is not a function.

Step-by-step explanation:

The definition of a function is a relationship where only one x value has a specific y value. So if an x-value has more than one y value, it is not a function due to its rule. This can also be checked by using a graph, graphing the function, and checking if it fits the vertical line test.

We see all of them work except T, where 2 x values are stated that are the same but have different y values.

So T is not a function.

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?

Answers

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

Emilio's Publishing prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = −0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.

Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).

Approximately what amount should the company sell each cookbook for to maximize profit? (1 point)
$8.25
$9.50
$10.20
$17.00

Answers

Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

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

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the function is modeled as follows, considering x as the price divided by $0.05.

P(x) = -0.1x² + 15x + 120.

The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:

[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]

75 increases of $0.05, hence the price will be of:

4.5 + 75 x 0.05 = $8.25.

Hence, the profit will be maximized when each cookbook is sold for $8.25.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?

Answers

The return on investment is 8.40%

please help me and thank you :))))​

Answers

Answer:

96

Step-by-step explanation:

Answer:

the answer of this question

is 96

original price $18 and percent of discount is 65% what is the sale price

Answers

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

1. Total Value of the Burgers
2. Cost of Fries per order
3. Quantity of the sodas ordered
4. Total Value of the Salad
5. Cost of Salad per order

Formula:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________

Answer:
1._______________________________
2._______________________________
3._______________________________
4._______________________________
5._______________________________​

Answers

Step-by-step explanation:

1) 35×23 = 805

2) 800/40=20

3)170/10=17

4) 2000-805-800-170=225

5)225/15=15

Hence answers

1)805

2)20

3)17

4)225

5)15

PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?

Answers

1,54 is each bottle of juice

The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.

Let's break down the information given in the problem:

Henry bought a bag of chips for $2.25.

He also bought a 5-pack of juice bottles.

The total cost before tax was $9.95.

Let's represent the cost of each bottle of juice as "x" dollars.

The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:

Cost of chips + Cost of 5 juice bottles = Total cost

$2.25 + 5x = $9.95

Now, we can solve for the value of "x" (the cost of each bottle of juice):

5x = $9.95 - $2.25

5x = $7.70

Dividing both sides by 5:

x = $7.70 / 5

x = $1.54

To know more about costs here

https://brainly.com/question/17120857

#SPJ3

What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°

Answers

Answer:

C. 76 degrees.

Step-by-step explanation:

n = 180 - 104

= 76.

Answer:

C

Step-by-step explanation:

a straight line is 180 degrees

so we can say that n is equal to 180 - 104

n is equal to 76 degrees

LA=
Round your answer to the nearest hundredth.

Answers

Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

[tex] \tan(x) = \frac{o}{a} [/tex]

Here the opposite side is 8

The adjacent side is 7.

[tex] \tan(x) = \frac{8}{7} [/tex]

Take the Inverse Tangent,

[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] )  ≈ 48.81° ( to the nearest hundredth )

What is the volume in cubic inches

Answers

Answer:

80 cubic inches

Step-by-step explanation:

Hey there!

In order to find the volume, you need to split this shape in two parts

We are going to take the big rectangle and the small rectangle as our two shapes

The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches

So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches

Now we add both volumes

66+14 is 80

So the total volume is 80 cubic inches

Answer: 80
Work-
7.5•3.5•2=52.5
5.5•2.5•2=27.5
52.5+27.5=80

Problems Involving Fundamental Counting Principle


1. Patrick wants to buy a computer system. In a computer shop, a customer can choose one of the 4 monitors, one of the 2 keyboards, one of the 4 CPU, and one of 3 printers. Determine the number of possible systems that Patrick can choose from.


2. An ice cream parlor is offering different flavors of ice cream with two kinds of containers available, cone and paper cup. The flavors of their ice cream include cheese, vanilla, mango, and chocolate. What is the total number of possible combinations if a customer can choose a container and 3 flavors of ice cream?


3. Emma has 5 blouses, 3 skirts, and 4 pairs of shoes. In how many different ways consisting of a blouse, a skirt, and a pair of shoes can Emma dress up?


4. Tess, Rina, Rose, Ronnie, Bryan, and Gab are all members of the Student Council. In how many ways can you form a committee of three students?



Problems Involving Probability of Simple Events


5. A letter is to be chosen from the letters of the word EXTRAVAGANT. What is the probability that it is a consonant?


6. An auditor of a club is to be selected from 8 Grade 7, 9 Grade 8, 12 Grade 9, and 5 Grade 10 students. What is the probability that he/she is not a Grade 8 student?


7. A spinner is divided into parts and whose colors are similar to a color wheel. What is the probability that the pointer lands on a secondary color?


8. Slips of paper are numbered 4, 5, 6, …, 34, folded into similar squares and placed in a bowl. If a paper is to be picked at random, what is the probability that the number is a prime number?

Answers

The questions are illustrations of combination and probability

Combination involves the ways of choosing or selecting an item from a group of itemsProbability involves the chance of choosing or selecting an item from a group of items

1. Number of systems to choose from

The given parameters are:

Monitors = 4

Keyboard = 2

CPU = 4

Printer = 3

The number of systems to choose from is:

n = 4 * 2 * 4 * 3 = 96

Hence, Patrick can choose from 96 systems

2. Combination of Ice cream

The given parameters are:

Containers = 2

Flavors = 4

The number of total combination to choose from is:

n = 2 * 4C3 = 8

Hence, the number of total combination is 8

3. Emma dressing up

The given parameters are:

Blouse = 5

Skirt = 3

Shoes = 4 pairc

The number of ways to dress up:

n = 5 * 3 * 4 = 60

Hence, Emma can dress up in 60 ways

4. Members of committee

The given parameters are:

Students = 6

Members of committee = 3

The number of ways to form a committee is:

n = 6C3 = 20

Hence, there are 20 ways to form the committee

5. Probability of consonant

We have:

Letters = 11

Consonnats = 7

The probability of selecting a consonant is:

P = 7/11

P = 0.636

Hence, the probability of selecting a consonant is: 0.636

6. Probability of not selecting a grade 8 student

We have:

Total students = 34

Students not in grade 8 = 25

The probability that a student is not in grade 8 is:

P = 25/34

P = 0.735

Hence, the probability that a student is not in grade 8 is 0.735

7. Probability of a secondary color

Not enough details to solve

8. Probability of a prime number

There are 9 prime numbers in a total number of 31 numbers from 4 to 34.

So, the probability that a number is prime is:

P = 9/31

P = 0.290

Hence, the probability that a number is prime is 0.290

Read more about combination and probability at:

https://brainly.com/question/24756209

https://brainly.com/question/11732255

is -4/2 rational irrational whole number or integer

Answers

Answer:

Yes its all of the above or jsut rational

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Which choice is the solution to the inequality below?
9x< 72
O A. x < 63
B. X8
C. x<8
O D. xs2
Will mark brainliest

Answers

hello!

In order to solve this inequality, we should divide both sides by 9:-

[tex]\sf{9x < 72}[/tex]

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

[tex]\sf{x < 8}[/tex]

Hence, that's the solution to the inequality.

It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)

(Option C is correct :) )

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

x < 8

solving steps:

9x <  72x < 72/9x < 8

pls help me to answer this​

Answers

Answer:

hi! this is (insert your name) what does this sybol/mathematical term mean?

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Greetings Mrs.(name here)!

I got my recent test back and I was wondering why this question was incorrect.

For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.

How do I properly do this question?

-*name here*


at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways

Answers

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic

Answers

The average amount of time it takes a professional football player to run a mile is = 18.96 seconds

Calculation of the average time of a footballer

The total number of players that made up the sample data = 20

The average time for the whole players was = 6.32minutes.

If 20 players = 6.32 mins

∴ 1 player = ?

Make the unknown the subject of formula,

? =  1 × 6.32/20

? = 6.32/20

? = 0.316 mins

To converted to seconds multiply by 60,

Therefore, 0.316 × 60 = 18.96 seconds.

Learn more about time conversion here:

https://brainly.com/question/11947673

???????!:!:!:!:!:?!!!!!???!:!/!/

Answers

Answer:

Corral 4

Step-by-step explanation:

we need to divide  the area of the corral by the Number of animals In order To know the dedicated  space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

What is the distance between (-13, 9) and (11, 2) on
a coordinate grid

Answers

Answer:

25

Step-by-step explanation:

Distance (d) = √(11 - -13)2 + (2 - 9)2

= √(24)2 + (-7)2

= √625

= 25

Answer: 25 is the answer

Step-by-step explanation:

PLS HELPPP IT'S ABOUT LOCUS

Answers

Answer:

Here,

First Find distance between them by using formula √+x2-x1)2+(y2-y1)2

Then use the equation and then find locus.

Please help me on this it’s due now

Answers

Answer:

I don't understand the question

Word problem. Help please!!

Answers

Answer:

I'm not 100% sure but I think it is 200.96 in (201 in if rounded)

Step-by-step explanation:

Answer:

200.96 inches squared

Step-by-step explanation:

The radius of the pizza is 8(half of the diameter).

The formula for are of a circle is pie*radius^2.

So you would do 3.14 * 8^2.

8^2 is equal to 64.

Your new equation is 3.14 * 64, which equals 200.96.

Find the length of the third side. If necessary, round to the nearest tenth.
9
13

Answers

Answer:

15.8

I think there is a part of the question missing (the triangle is a right triangle)

hope this helps

+let me know if you need an explanation

Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30​

Answers

Answer:

Step-by-step explanation:

Find the distance between the points!? Help

Answers

Answer:

3\sqrt(5)

or 6.71

Step-by-step explanation:

The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π.


diameter 67 feet


Someone would travel about
feet during one ride on the Ferris wheel.

Answers

Answer:

2,945 feet

Step-by-step explanation:

Find the circumference.

C = dπ

C = 67(3.14)

C = 210.38

Since there are 14 revolutions, multiply the circumference by 14.

210.38 x 14 = 2945.32

Round

2,945

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