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Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:

base length = 10 feet

base width = 10 feet

pool depth = 20 feet

Volume of a material implies the maximum amount of substance that it can contain.

From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:

volume of the pool = length x width x height

                                = base area x height

Thus, given that the volume of the pool is 2000 cubic feet, then;

2000 = base area x height

i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;

volume = 10 x 10 x 20

            = 2000 cubic feet

The cost of constructing the pool of the assumed dimensions would be:

Total area of its sides = 4 x 200

                                    = 800 square feet

The cost of tiling the sides of the pool = $80 x 800

                                         = $ 6400.0

Area of the base of the pool = 10 x 10

                                            = 100 square feet

The cost of tiling the base of the pool = $40 x 100

                                         = $4000

Total cost = $6400 + $4000

                 = $10400

Total cost of constructing the pool with the assumed dimensions is $10400.

ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;

volume = 20 x 20 x 5

            = 2000 cubic feet

The cost of constructing the pool of the assumed dimensions would be:

Total area of its sides = 4 x 100

                                    = 400 square feet

The cost of tiling the sides of the pool = $80 x 400

                                         = $ 32000

Area of the base of the pool = 20 x 20

                                            = 400 square feet

The cost of tiling the base of the pool = $40 x 400

                                         = $16000

Total cost = $16000 + $32000

                 = $48000

Total cost of constructing the pool with the assumed dimensions is $48000.

Therefore, the dimensions that will minimize the cost of construction of the pool are:

base length = 10 feet

base width = 10 feet

pool depth = 20 feet

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Answer:

B

Step-by-step explanation:

Divide the number of students by the capacity of each bus

. 165 / 64 = 2 (busses) + 37/64 (remainder)

165 students

each bus= 64 students

how many buses they need to order in order to take 165 students.

[tex] \frac{165}{64} [/tex]

[tex] = 2.578125[/tex]

[tex] = 2 \frac{37}{64} [/tex]

hence, the correct answer is option B.

The perimeter of a shape is the sum of its side lengths.

The perimeter of the shape is 24z - 18

Represent the length with l and the width with w.

The dimensions are given as:

[tex]l = 10z[/tex]

[tex]w = 2z - 9[/tex]

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The above equation becomes

[tex]P = 2 \times (10z + 2z - 9)[/tex]

Evaluate like terms

[tex]P = 2 \times (12z - 9)[/tex]

Open brackets

[tex]P = 24z - 18[/tex]

Hence, the perimeter of the shape is 24z - 18

Read more about perimeters at:

https://brainly.com/question/397857

Answer: Pretty shure it's C

Step-by-step explanation:

c. writing system using wedge-shaped symbols

Answer:

A) a = 4

B) m = 2

Step-by-step explanation:

A) 2a + 7 = 15

2a + 7 - 7 = 15 - 7

2a = 8

2a/2 = 8/2

a = 4

B) 4m - 6 = 2

4m - 6 + 6 = 2 + 6

4m = 8

4m/4 = 8/4

m = 2

Answer:

a = 4 and m = 2.

a) Find the value of a if the total of a being doubled and added to 7 is 15.

b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.

Step-by-step explanation:

2a + 7 = 15

→ Minus 7 from both sides

2a = 8

→ Divide both sides by 2

a = 4

4m - 6 = 2

→ Add 6 to both sides

4m = 8

→ Divide both sides by 2

m = 2                

Answer:

A=density=1.42g/cm^3

mass=9.94g

volume=7cm^3

B=density =?

mass=128.66g

volume=125cm^3

C=density=108g/cm^3

mass=138.6g

volume=132cm^3

massA 1.42×7=9.94g

massB 138.6-9.94=128.66g

massC 132×1.05=138.6g

Density of B =mass/ volume

=126.66÷ 125

= 1.03g/cm^3

Answer:

Step-by-step explanation:

if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)

if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45

since <ACM=45;

         <A = 60;

then  <AMC = 180-(45+60),

         <AMC = 180-105,

         <AMC = 75.

Answer:

a) 180°

b) 360°

c) 180° (Interior angles)

d) 180°

e) (n-2)180

f) Equal

g) Equal

h) Equal

Step-by-step explanation:

Answer:

[tex]x\approx 13.27 in[/tex]

Step-by-step explanation:

I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).

Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get

[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]

Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght

[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]

At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:

[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]

Answer:

D. 31 toys

Step-by-step explanation:

377   ÷   12 =

31.41666666666667

377 toys

12 bags

how many toys she'll have left to give her little brother.

[tex] \frac{377}{12} [/tex]

[tex] = 31.4166666667[/tex]

[tex]nearest \: whole \: number = 31[/tex]

hence, she'll have 31 toys left to give her little brother.

answer= option D

Answer:

the answer is x=107° you're welcome

Answer:

300

Step-by-step explanation:

All you had to be is take 2030 and divide by 7 percents

Answer:

y=b+2x/5 in slope- intercept form.

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

Answer:

43.2 is the correct answer happy

Answer:

B

Step-by-step explanation:

X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)

Answer:

1 time

Step-by-step explanation:

Answer:

(x/y)^2n-2n

(x/y)⁰

=1

since any number raised to power of 0 is 1

Answer:

f=2 N=5

Step-by-step explanation:

Answer:

Rate of change is 15/2

Step-by-step explanation:

Rate of change is the same as slope of a line.

( y1 - y2 ) / ( x1 - x2 )

( 30 - 15 ) / ( 4 - 2 )

15 / 2

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

We can see the graph has an y intercept of 1 and from there the slope goes up one and to the right one so the slope is 1

Answer:

12,423 i think

1/3 is 183

164x50=8200

549-347=202

202x20=4040

183+8200+4040=12423

50w/50 = 300/50

----------- -----------

1w (or) w = 60

w = # of weights

The weightlifter can lift a maximum of 60 weights if each weight weighed 50 pounds.

y-2=(-x+2)

point slope

equation is

y-y1=m(x-x1)

Answer:

l = 104/3

w = 40/3

Step-by-step explanation:

l = 2*w + 8

P = 2(l + w) = 96

48 = l + w

2w + 8 + w = 48

3w = 40

w = 40/3

l = 2*40/3 + 8

= 80/3 + 8

= 80 + 24  / 3

= 104/3

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Answer:

21.06

Step-by-step explanation:

4.06 increased by 17

4.06 + 17

21.06