Zach is building a new shed shaped like a square prism. He wants the height of the shed to be 2 feet less than the length and width. If he needs the volume to be as close as possible to 3174 ft 3 , what should the length be

Answers

Answer 1

Answer:

[tex]15.394\ \text{feet}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the length and width of the base of the prism and,

[tex]y[/tex] be the height of the prism.

Now height of the prism is 2 feet less than the length and width.

So [tex]y=x-2[/tex]

Volume of the the square prism is [tex]3174\ \text{ft}^3[/tex]

[tex]x^2y=3174[/tex]

Now we graph both the functions.

The point at which they intersect each other is [tex](15.394,13.394)[/tex]

So, the length of the prism is [tex]15.394\ \text{feet}[/tex].

Zach Is Building A New Shed Shaped Like A Square Prism. He Wants The Height Of The Shed To Be 2 Feet

Related Questions

What is the measurement of 1?

Answers

Answer:

6

Step-by-step explanation:

Angle 1 = 120 degrees.

The angles of a triangle equal 180 degrees. It tells you 68 and 52. Add those, which gives you 120. Which then tells you your last angle is 60 degrees. That is a supplementary angle, therefore angle #1 equals 120

16 OT 26
Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
SA
[?] cm²
Enter

Answers

Answer:

[tex]Total = 166cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the surface area

The figure is made up of two cuboids and the surface area of a cuboid is:

[tex]Area = 2LB + 2LH + 2BH[/tex]

Because the bottom part of the upper piece is not visible, the area is calculated as:

[tex]Area = 2LB + 2LH + BH[/tex]

This gives:

[tex]Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2[/tex]

[tex]Area = 66[/tex]

For the bottom piece:

We calculate its area as [tex]Area = 2LB + 2LH + 2BH[/tex]. However, the area of the invisible part will be subtracted.

So, we have:

[tex]Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5[/tex]

[tex]Area = 100[/tex]

The total surface area is:

[tex]Total = 66 + 100[/tex]

[tex]Total = 166cm^2[/tex]

An art teacher has 21.06 pounds of clay to give to students. The teacher gives 9 students an equal amount of clay to make sculptures. How many pounds of clay will each student receive?

Answers

Answer:

2.34 pounds

Step-by-step explanation:

21.06/9=2.34

Answer:

2.34 pounds

Step-by-step explanation:

answer is 21.06/9 = 2.34

Name the angle that is supplementary to

Answers

Answer:

i

Step-by-step explanation:

i'll literally give anyone brainliest if you answer this!!

Answers

Answer:

-15 and 0

Step-by-step explanation:

-15 + 15= 0

40.3125 as a simplified fraction

Answers

Answer:

645/16

Step-by-step explanation:

Answer:

The answer is 40 5/16

~hope this has helped you, have a gr8 day/night my friend!~

Step-by-step explanation:

8 3\8- 3 5\8 plz answer

Answers

Answer:

4 3/4

Step-by-step explanation:

8 3/8 - 3 5/8

7 11/8 - 3 5/8= 4 6/8

4 6/8= 4 3/4

plss help me with this​

Answers

1. Second one
2. First one
3. Second
4. Second
5. Third

What is the greatest common factor shared by 65 and 30?

SUBMIT

Answers

Answer:

As you can see when you list out the factors of each number, 5 is the greatest number that 30 and 65 divides into.

Answer:

76

Step-by-step explanation:

What is 1 sixth
as a
as a decimal?
Give your answer rounded to 3 decimal places.

Answers

Answer:

0.167

Step-by-step explanation:

It is actually 0.16666666... but you round the last six to a seven.

Answer:

1/6 = 0.167 till three decimal places rounded to 3 places

solve sin2theta=2sinthetacostheta​

Answers

Answer:

[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex] proved

Step-by-step explanation:

Given

[tex]\sin2 \theta=2 \sin\theta cos\theta[/tex]

Required

Prove

Proving from left to right.

[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]

In trigonometry

[tex]\sin(A+B) = \sin A \cos B+\sin B \cos A[/tex]

When this formula is applied to:[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]

We have:

[tex]\sin(2\theta) = \sin \theta \cos \theta+\sin \theta \cos \theta[/tex]

[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex]

Proved

ILL GIVE BRAINLEST
ILL GIVE BRAINLEST
ILL GIVE BRAINLEST
ILL GIVE BRAINLEST
ILL GIVE BRAINLEST
photo attached and ill appreciate an answer !!

And the equations wouldn’t fit it the pic but the equations is::

y-2x=4
3x-5y=15

Answers

Answer:

x=5

Step-by-step explanation:

First you'll add 2x to both sides

y=2x+4

then you substitute 2x+4 for y in the next equation

3x-5(2x+4)=15

3x-10x-20=15

-7x=35

x=-5

Answer:

wut where is q

Step-by-step explanation:

Are the ratios 1:2 and 5:7 equivalent?
yes
no
Submit

Answers

Answer:

no

Step-by-step explanation:

Answer: No. It isn't equivalent.

Step-by-step explanation: Because 5/7 is not a multiple of 1/2. The multiples of 1/2 are: 2/4, 3/6, 4/8, 5/10 etc.

Behind Elena’s house there is a portable storage container that holds 29 or 1024 units, depending on which unit you are using to measure. Which measurement is in cubic feet, and which is in cubic meters? 29 ______cubic feet__ 1024 ___cubic meters_____

Answers

1 cubic meter = 35.31 cubic feet.

This means the smaller number would be the meters and the larger number the feet.

Answer:

29 cubic meters and 1024 cubic feet

Answer:Lin and Elena have discovered they have so much in common. 1. ... Unit 3, Lesson 3: Measuring with Different-Sized Units. 1. Lin has ... Behind Elena's house there is a portable storage container that holds 29 or 1024 units, depending ... Which measurement is in cubic feet, and which is in cubic meters? 29 Meters 1024_47 ...

Step-by-step explanation:

3^4 + 2 • 5 = (input whole numbers only.)
(please leave explanation)

Answers

Answer = 91
So first use the order of operations: parentheses, exponents, multiply/divide, add/subtract to do 3^4 (this is an exponent) first which is 81. Then do the multiplication, 2•5, which equals 10. Finally add the 81+10 to get 91 as your final answer. Hope that helps :)

I NEED HELP PLS HELP

Answers

Answer:

1/2 lemono.75 liters of water450g sugar

hope it helps.

Answer:

1/2 lemon

3 cups of water

450g of sugar

Step-by-step explanation:

i hope this helps :D

Jose has a coin collection. He keeps 9 of the coins , which is only 5% of his entire collection in a box. what is the total of coins in Jose’s coin collection?
I really need help with this question!


A. 14

B. 18

C. 160

D. 180

Answers

Answer:

Jose's total collection is: 180

Hence, option D is correct.

Step-by-step explanation:

Let x be Jose's total collection.

Given that Jose keeps 9 of the coins, which is only 5% of his entire collection in a box.

It means,

5% of x = 9

5/100 × x = 9

0.05 × x = 9

divide both sides by 0.05

0.05x/0.05 = 9/0.05

x = 180

Therefore, Jose's total collection is: 180

Hence, option D is correct.

what is 50% of 30 in mathematics

Answers

x/30 x 100 = 50

100x/ 30 = 50

Cross multiply

100x/100 = 1500/100

x = 15

50% of 30 is 15

The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?

Answers

Answer:

120

Step-by-step explanation:

370m - (65 x 2) = 240

240 divided by 2 = 120

$7.00 × 20 = $140 in 40 hours
any helps !

Answers

Answer:

$280 in 40 hours!

(Just multiply)

Answer:

This is correct

Step-by-step explanation:

7.00 multiplied by 2 on both sides will give you an equivalent answer which is 140 and 40 hours. good job!

You randomly select one card from a 52-card deck. Find the probability of selecting a red ten or a black king

Answers

The probability of you getting a red 10 or a black king would be P = {(2C1)+(2C1)}/(52C1)

= 4/52 = 1/13

Find the simple interest on $1,200 at 8% for 6 months.

Answers

Answer:

Simple interest at 8% rate for six months (1/2 year) is

$48

Step-by-step explanation:

Simple interest at 8% rate for six months (1/2 year) is

=> $1,200 x 0.08 x (1/2)

=> $48

Evaluate the expression for m=4 n=5 p=-2
-n^m

Answers

-5^4
= -625

-5 • -5 • -5 • -5 = -625

Answer:

Equation :---

[tex] {( - n)}^{m} [/tex]

where m=4 n=5 p=-2

[tex] {( - 5)}^{4} =(- 5)\times( -5) \times (- 5) \times (- 5 )= \boxed{625}✓[/tex]

625 is the right answer

a) 10
b) 12
c) 8
d) 6

Answers

B or c sorry if I’m wrong tho :(
b i think pretty sure

I’m having trouble understanding what this is asking

Answers

Answer:

I believe you want to make it so the red section is over the function part of the graph, so I think the answer would be 1.5 [tex]\leq[/tex] x < 1

Which table represents the relationship between the x-values and the y-values in the equation y = -5x + 1?

Answers

Answer:

x=0 the value of y is 1/1 so this line cuts the y axis at y=1.00000. y=0 the value of x is 1/5 our line therefore cuts the axis at x=0.20000

area circumstances circle and square 5 in 6 in 4 in PLEASE HELP PLEASE!

Answers

Answer:

20.24in^2

Step-by-step explanation:

[tex]\pi[/tex]r^2

3.14 times 16in

that is 50.24

6 times 5 = 30

50.24 - 30= 20.24

are the following number additive inverses of each other?
45/23 and -45/23
yes or no?

Answers

Answer:

0/46

Step-by-step explanation:

.................

A square has side 3× - 2 , what is the perimeter? ​

Answers

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

Side of square = 3 × -2

= -6

Perimeter of square = 4 × side

= 4 × - 6

= -24 units

3 1/2% of 400 is what number

Answers

Answer:

14

Step-by-step explanation:

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