1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vova2212 [387]
3 years ago
9

The management of the unico department store has decided to enclose an 833 ft2 area outside the building for displaying potted p

lants and flowers. one side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. if the pine board fencing costs $6/running foot and the steel fencing costs $2/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (round your answers to one decimal place.)
Mathematics
1 answer:
joja [24]3 years ago
6 0
The dimensions would be 28.9 for the steel length and 28.8 for the pine boards, for a total cost of $403.40.

To maximize area and minimize perimeter, you want a figure that is as close to equilateral as you can get.  Therefore we take the square root of our area:

√833 = 28.9.

Dividing 833/28.9 we get 28.8.

We want to use the shorter side, 28.8, for the pine boards, as they cost more.  28.8*2*6 = 345.60.

The cost of the steel side is given by 28.9*2 = 57.80.

Together it costs 345.60+57.80 = 403.40.
You might be interested in
What is the opposite of the three rational numbers.<br> |-13| =<br> |14| =<br> - |42| =
babunello [35]

Answer:

|-13| = 13, so the opposite is -13

|14| = 14, the opposite is -14

-|42| = -42, the opposite is 42

7 0
3 years ago
8 divde by 1/6 equals 48 because<br><br>​
nika2105 [10]

Proof:

8\div\frac{1}{6}=\frac{8}{1}\div \frac{1}{6}=\frac{8}{1}\times\frac{6}{1}=\frac{8\times6}{1}=\frac{48}{1}=48 \\

6 0
3 years ago
The longest side of the right triangle is 2 feet more than the middle side and the middle side is 1 foot less than twice the sho
Ket [755]
A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8
3 0
3 years ago
HELP!!!!
aniked [119]

Answer:

A. Plane B because it was 9.33 miles away

B. 48 units

Step-by-step explanation:

A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.

So for airplane A with 44° angle of departure,

sin44° = y/h where y = height above the ground and h = distance from airport

So h = y/sin44° = 6/sin44° = 8.64 miles

So for airplane B with 40° angle of departure,

sin40° = y/H where y = height above the ground and H = distance from airport

So H = y/sin40° = 6/sin40° = 9.33 miles

Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.

B. We know that scale factor = new size/original size

Our scale factor = 4 and original size = 12 units. So,

new size = scale factor original size = 4 × 12 = 48 units.

8 0
3 years ago
What 4 coins equal 90¢
N76 [4]

Answer:

half dollar, quarter, dime and nickel

Step-by-step explanation:

When you sum it up it will give you 90 cents.

3 0
4 years ago
Read 2 more answers
Other questions:
  • Line CD is tangent to circle A at point B. Segment AB is a radius of circle A. What can be concluded about angle ABD?
    10·1 answer
  • Zoe has a collection 78 movies. Each one cost 29.99. How much did she spend on all her movies.
    14·1 answer
  • What is the probability of drawing a king and a 7 from a deck of cards without replacement?
    14·1 answer
  • Find the slope of the line through the pair of points. (9,3) and (19,-17)
    12·1 answer
  • Find the length of the midsegment.
    12·1 answer
  • Graph each equation.<br> 56) y = |x-31-3<br> I if it if it it of<br> .
    13·1 answer
  • What is 4 times as many as 8?
    5·2 answers
  • Find the volume of the triangular prism​
    10·1 answer
  • Open a bank account make a deposit $150
    10·1 answer
  • Can you give y=2x a verbal situation for me
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!