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kotegsom [21]
2 years ago
13

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top

costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
Mathematics
1 answer:
GuDViN [60]2 years ago
4 0
Ответ 163.54
Ниже расписано описание

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The volume of a box of soup broth is 972 cubic centimeters. The box is 20 centimeters high and 10.8 centimeters long. How wide i
Naddik [55]
V=l*w*h
972=20*10.8*w
972=216w
w=4.5
5 0
3 years ago
Read 2 more answers
HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
2 years ago
One day you bike for 30 miles 10 cool down at a rate of 0.25 miles/minute. The total distance you bike is 35 miles. How many min
tatyana61 [14]
To determine the length of time it would took for the biker to cool down, we need the rate that would relate the distance he traveled to cool down per units of time. For this problem, the rate is given as 0.25 miles per minute. So, we simply divide the total distance he traveled with this rate. We calculate as follows:

time to cool down = distance / rate
time to cool down = 35 miles / 0.25 miles / minute
time to cool down = 140 minutes or 2 hrs and 20 minutes

Therefore, the biker would need to cool down for about 2 hrs and 20 minutes if he traveled for 35 miles.
8 0
3 years ago
2(4-8x)+6=-1 interpreting experiessions
Anestetic [448]

Answer:

X = \frac{13}{16}

Step-by-step explanation:

2 (4-8x) + 6 = 1

Multiply parentheses by 2

8 - 16x + 6 = 1

add (8 + 6)

14 - 16x = 1

Move constant to right and change its sign

-16x = 1 -14

Calcualte te difference

-16x = -13

divide bot sides by -16

x = \frac{13}{16}

8 0
3 years ago
In an endurance race, Rachel ran
Reil [10]

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

3 0
3 years ago
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