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frutty [35]
3 years ago
6

A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The length of its base must be twice the width

and the bin must be at least 3 feet high. Material for the base of the bin costs $12 per square foot and material for the sides costs $8 per square foot. If it costs $538.56 to build the bin, what are its dimensions?
Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

Width=2.2 FT

Length=4.4 FT

Heigh= 4 FT

Step-by-step explanation:

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Write the equation for g (x)
belka [17]

Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

200/25 = (-3/25) + b                       <----- Covert 8 to a fraction

203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

4 0
1 year ago
Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?
fomenos

Answer:

8 inches,

Step-by-step explanation:

2 2/3 = 8/3.

3 * 8/3

= 8 inches,

7 0
3 years ago
If a country's debt-to-GDP ratio is currently 5% and its debt is expected to
Valentin [98]
400 billion dollars
6 0
3 years ago
Read 2 more answers
1. Kaly can select from 5 types of candies and 4 types of chocolates . If she randomly selects 1 chocolate and 1 candy, how many
kykrilka [37]

Answer:

20..... 1/10

Step-by-step explanation:4x5 equals twenty

2/20 divided by 2 is 1/10

7 0
3 years ago
What is the measure of angle Q to the nearest whole degree?<br> 43°<br> 49°<br> 53°<br> 58°
geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

cos^{-1}Q = 0.604

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0
3 years ago
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