A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the wall to have a volume of 330 cubic feet. What tool can be used to find possible dimensions for the base of the wall?

Answers

Answer 1

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.


Related Questions

Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?

Answers

Answer:

470.81 or 470.815

Step-by-step explanation:

Need help please I don’t understand this question

Answers

Answer:

a) 9

Step-by-step explanation:

f(2) basically equals to y when x=2 and the y coordinate at x=2 is 9

un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco​

Answers

Answer:

El pH del refresco es 3.42.

Step-by-step explanation:

Se puede calcular el pH del refresco usando la siguiente fórmula:

[tex]pH = -log([H^{+}])[/tex]

En donde:

[H⁺]: es la cocentración de los iones H⁺ de la solución

Entonces, el pH es:

[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]

El resutlado obtenido nos permite concluir que ese refresco es ácido.

Por lo tanto, el pH del refresco es 3.42.

Espero que te sea de utilidad!

Usando su fórmula, se encuentra que el valor de PH de ese refresco​ es dado por 3.42.

Cual es la fórmula para el valor de PH?

Es dada por:

[tex]pH = -\log{H^{+}}[/tex]

Onde [tex]H^+[/tex] es la concentración.

En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:

[tex]pH = -\log{H^{+}}[/tex]

[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]

[tex]pH = 3.42[/tex]

El valor de PH de ese refresco​ es dado por 3.42.

Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414

Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it

Answers

Answer: 1/2

Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.

Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)

Answers

Answer:

24 pints

Step-by-step explanation:

128 ounces · 3 = 384 ounces

384/16 = 24 pints

Answer:

There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.

Step-by-step explanation:

Answer for brainliest no files

Answers

Answer:

D

Step-by-step explanation:

because its the only one that get the answer 3 2/3 which is the amount shown on the line.

I need help ASAP will give brainliest
Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19 ( Show me your working)​

Answers

= 1000

I know

I think hope this helps

Can u help solve this step by step?

Answers

Answer:

[tex]\sqrt{28}[/tex]

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

[tex](a)^2+(b)^2=(c)^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]

i’ll award brainliest! no links

Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.

Answers

YZ=8.66 see pic for work

Pls help what is the answer? I need help, no links are allowed.

Answers

Answer:

44 cm³

Step-by-step explanation:

If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.

A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

Answers

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

Can some one help me on 11- 12

Answers

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Answer:

11. 6 feet  12. 140 inches cubed

Step-by-step explanation:

To get the cylinder use the formula  [tex]h=\frac{V}{\pi r^{2} }[/tex].

To get the volume on the laptop use the formula volume=length x width x height.

in the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)

Answers

Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

Acellus
If AABC = ADEC, ZDCE = 55°,
LCDE = 65°, and ZABC = 2x
А
D
E
B.
x = [?]
I genuinely just got to this school like last week help me please

Answers

Answer:

do you have any other info

Step-by-step explanation:

Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money
Mai has left?

Answers

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?

Answers

Answer:

[tex]745.45 mm^{2}[/tex]

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]

[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]

Formula for rectangle = [tex]A = lw[/tex]

[tex]25 x 12.5 = 312.5 mm[/tex]

Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]

[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]

Now we add them all up to get our answer

[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]

The area of the composite figure is 741.31 mm².

What is area?

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

Learn more about area click;

https://brainly.com/question/27683633

#SPJ2

help!!! (Brainlist!!!!!)

Answers

I think it’s B if not I can’t tell because I can’t see all the questions .

Answer:

Its A

Step-by-step explanation:

A restaurant wants to study how well its salads sell. The circle graph shows
the sales over the past few days. If 5 of the salads sold were garden
salads, how many total salads did the restaurant sell?
The restaurant sold salads over the past few days.

Answers

Answer:

20 total salads

Step-by-step explanation:

If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.

What is the measure of ∠A, the exterior angle of the triangle shown below?


F. m∠A = 92°, because 180 – (50 + 38) = 92.

G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.

J. m∠A = 88°, because 50 + 38 = 88.

Answers

Answer: A is 88

Step-by-step explanation: Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

Help Asap please, If you dont know it please dont!

Answers

Answer:

D. 22 2/3 square yards

Step-by-step explanation:

To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.

Hope this helps!

-Luna

How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9

Answers

Answer:

3 sign changes from the highest order term to lowest

what is the volume ( round to nearest tenth if necessary)

Answers

Answer:

V = 240 cm^3

Step-by-step explanation:

The volume formula for a cone or triangular prism such as this one is

V = (1/3)(base area)(height), which here is:

V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

can someone please help me​

Answers

Answer: -8

Step-by-step explanation:

Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8

Answer:

-8

Step-by-step explanation:

(-8) ^2+3(-8)

= ------------------------

4(-8)+27

64-24

=-----------------

-32+27

40

=------------

-5

= -8

a number increased by 8 is 21 help

Answers

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

I have a picture with the question plz help I've been stuck on this

Answers

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

Evaluate: |9 - 3k| = 3

Answers

Answer:

k=2,4

Step-by-step explanation:

evaluate 4z -5y when z=8 and y=3

Answers

Answer:

17

Step-by-step explanation:

In 4z -5y, substitutte 8 for z and 3 for y, obtaining:

4(8) - 5(3) = 32 - 15 = 17

Answer:

17

Step-by-step explanation:

When you have a  number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.

4z-5y

when z=8 and y=3

The equation really is

4 times 8 - 5 times 3

4 times 8 is 32

5 times 3 is 15

15-32

15-32= 17

Write the formula to evaluate the rate of VAT (V%) if
selling price with VAT is Rs. x and selling price without
VAT is Rs. y.

help.

Answers

Answer:

V% = (100(x - y)/x)%

Step-by-step explanation:

We are given;

Selling price with VAT = Rs. x

Selling price without VAT = Rs. y.

Thus; VAT = Rs. (x - y)

Rate of VAT(V%) = ((x - y)/x) × 100%

= (100(x - y)/x)%

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