The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP

Answers

Answer 1

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

How to determine the number of prisms?

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

Read more about areas at:

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Related Questions

LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.

Answers

Answer:

3/10

Step-by-step explanation:

So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.

50 POINTS FOR THE CORRECT ANSWER!

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f(n)=f(n-1)-3

So

f(2)

f(1)-317-314

f(3)

f(2)-314-311

f(4)

f(3)-311-38

work out the next term of this quadratic sequence
6 9 15 24 _

Answers

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

What is the range? ???????

Answers

Answer:

the difference between the highest and lowest values in a set of numbers.

Step-by-step explanation:

What is a square root?

Answers

Answer:  the factor that we can multiply by itself to get that number

Step-by-step explanation:

For example, the square root of 4, is 2 because 2*2 is 4.

Answer:

the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give

Step-by-step explanation:

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

height of the tower: 165.8 ft

use tan rule:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:                            [ your calculator should be in degree mode [D] ]

x = 37°opposite = height of the toweradjacent = 220

Solve:

[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]

[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]

[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]

PLSS HELPP
I NEED TO FIND THE 2 SIDE LENGTHS

You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?

Answers

Check the picture below.

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]

notice, we didn't use the negative value of "L", because the length can't be negative.

Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)

Answers

Answer:

146 m²

Area of triangle:

1/2 * base * height1/2 * 16 * 756 m²

Area of upper rectangle:

Length * Width8 * 972 m²

Area of bottom rectangle:

Length * Width6 * 318 m²

Total area:

18 m² + 72 m² + 56 m²146 m²

Answer:

146 m²

Step-by-step explanation:

Divide the figure into a triangle and 2 rectangles (see attached diagram)

Formulae

Area of a triangle = 1/2 x base x heightArea of a rectangle = width x length

Triangle 1

⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)

            = 1/2 x 16 x 7

            = 56 m²

Rectangle 2

⇒ area = 3 x (6 + 9)

            = 3 x 15

            = 45 m²

Rectangle 3

⇒ area = 5 x 9

            = 45 m²

Total area

⇒ Total area = triangle 1 + rectangle 2 + rectangle 3

                      = 56 + 45 + 45

                      = 146 m²

What is the sum of 4 x 10-5 and 3 x 10-5 written in standard form

Answers

Answer:

7 * 10 to the power —5

Step-by-step explanation:

check out the attached photo.

Answer:

70x - 10

Step-by-step explanation:

ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST

Answers

The answer is C

Sorry if wrong

Please need help this question

Answers

Answer:

b they are perpendicular

Step-by-step explanation:

they intersect each other at point D

PLSSSS HELP

Choose ALL answers that describe the polygon.

Answers

Answer:

RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.

Step-by-step explanation:

The shape has four sides, so it's a quadrilateral.

It has four equal sides so its a rhombus.

It has four right angles so its a rectangle.

It has four equal sides AND right angles so its a square.

And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.

A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If he paid 8% sales tax on the sale price, how much did he pay in total?

Answers

Answer:
$281.88

Step-by-step explanation:
Solve for 50% of $522:
522 × 0.50
261

Solve for sales tax:
261 × 0.08
20.88

Solve for total:
261 + 20.88
281.88

ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?

Answers

Answer:

160

Step-by-step explanation:

If there were only 2 options, all the people who didn't pick one chose the other one.

So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.

Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.

To find the total number of students, we add 120 and 40 to get 160

area of composite figuresssss

Answers

Answer:

Hope the picture will help you.

Jaxson bought a pair of sunglasses online for $71. He used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?

Answers

Answer:

$17.75

Step-by-step explanation:

$71-($71×20%)

$71-$14.2

=$56.8

after coupon code

$56.8-($56.8×5%)

=$56.8-$2.84

=$53.96 about .

then applied a 5% processing fee online.

Three $1 bills are equal to _____ cents.

Answers

Answer: 300 cents and/or pennies

Step-by-step explanation:

A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?

Answers

Answer:

$90.18

Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price

9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18

5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5

Answers

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67


Therefore, your answer is: y = 67


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

y = 2x -1, y = 3x + 5 solve

Answers

Answer:

the answer is x= -6 and y= -13

10. A new car can be purchased with a choice of four exterior colors (A, B, C, and D) and three interior colors (1, 2, and 3). Make an organized list of all the possible color combinations for the car.
please help my homework is due tomorrow ​

Answers

The picture says it all, pretty easy to figure out

Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items

Answers

Answer:

I can't get past hre, equations are attached tho

Step-by-step explanation:

Equations:

[tex]b + s + p = 35.75[/tex]

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

[tex]\frac{2}{3} s = p[/tex]

Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:

brush =$20.21,. sketchbook =$6.21 , paint set=$9.32

Step-by-step explanation:

let the cost of the brush=x

the cost of the sketchbook=y

the cost of the paint set= z

total money used= $39.75-$4.00

=$35.75

x= 14+y

but y=2/3z

x= 14+2/3z

14+2/3z +2/3z +z =35.75

3×14 +3×2/3z+3×2/3z×3z=3×35.75

42 +2z +2z +3z =107.25

7z=107.25-42

7z=65.25

z=65.25/7

z=$9.32

y=$2/3×9.32

y=$6.21

x=14+y

x=14+6.21

x=$20.21

Mr. Young is buying a house. He can spend no more than 29% of his income on monthly house payments If he earns $4,200 per month, what is the largest monthly house payment he can make?

Answers

Answer:

$1218

Step-by-step explanation:

Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218

please help figure out the range

Answers

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

Help pleaseeeeeeee :)))))) and thank you! ​

Answers

Answer:

103

Step-by-step explanation:

103.3's 3 is closer to 0 than 5

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

Answers

for this equation we just use pythagorean theorem.

11^2+12^2=x^2
121+144=x^2
265=x^2
x=16.3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Pythagoras theorem !

[tex]\qquad \sf  \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]

where,

h = hypotenuse = unknown

b = base = 11

p = perpendicular = 12

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]

pls help will give brainliest
i need this by 12

Answers

definition of parallel
alternate interior angle theorem
reflexive property of congruence
alternate interior angle theorem

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ7

how do I find the product of (5p+2)^2

Answers

Answer:

Hi mate

Step-by-step explanation:

Your question

[tex] {(5p + 2)}^{2} [/tex]

Applying identity we get

[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]

Now finding answer

[tex] {25p}^{2} + 20p + 4[/tex]

Thsi is answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Hi!

Given:

[tex](5p+2)^2[/tex]

The exponent of 2 shows we need to multiply it all by itself.

This is equal to:

[tex](5p+2)(5p+2)[/tex]

Use Distributive property and FOIL method:

[tex]25p^2+10p+10p+4[/tex]

Combine like terms:

[tex]25p^2+20p+4[/tex]

NOTE: if you are not familiar with the FOIL method, see the attached image below:

Chris invests $5,000 in a savings account that earns 2% interest per year. what would the Eqn be with a(b)^x ​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.

Answers

If you put the particles together you get a 2 bc the particles ready
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