Answer:
The largest total area that can be enclosed will be a square of length 272 yards.
Step-by-step explanation:
First we get the perimeter of the large rectangular enclosure.
Perimeter of a rectangle =2(l + w)
Perimeter of the large rectangular enclosure= 1088 yard
Therefore:
2(L+W)=1088
The region inside the fence is the area
Area: A = LW
We need to solve the perimeter formula for either the length or width.
2L+ 2W= 1088 yd
2W= 1088– 2L
W = 
W = 544–L
Now substitute W = 544–L into the area formula
A = LW
A = L(544 – L)
A = 544L–L²
Since A is a quadratic expression, we re-write the expression with the exponents in descending order.
A = –L²+544L
Next, we look for the value of the x coordinate
L=272 yards
Plugging L=272 yards into the calculation for area:
A = –L²+544L
A(272)=-272²+544(272)
=73984 square yards
Thus the largest area that could be encompassed would be a square where each side has a length of 272 yards and a width of:
W = 544 – L
= 544 – 272
= 272 yards
Answer:
17
Step-by-step explanation:
Look at any 2 adjacent numbers and find the difference between them.
Starting with numbers 1 and 2, subtract the first from the second:
That's a difference of 8, meaning the second number increased by 8.
Check the next numbers, 2 and 3:
It increased by 8 again. Now that we know for sure that each term in the sequence increases by 8 over the previous one, we can find the number in the green box. Just add 8 to the number before it:
Answer: s(s+4)=7, 7 shelves
Step-by-step explanation:
I think it's easiest to find these type of answers by finding the common factors of a number. First 77, they are 1×77 & 7×11.so you can have 11 rocks on 7 shelves or 7 rocks on 11 shelves. The question states the number or rocks on the shelf is more than the number of shelves, so you must have 11 rocks on 7 shelves. You know you have 77 rocks, so the equation must equal 77. I plugged 7 in for s in the equations to determine the correct answer. 7(7+4)=77.
<u>240 cm</u>³
volume of rectangular prism:
Length * Width * Height
4 cm * 20 cm * 3 cm
240 cm³
Answer:
Money raised($)= 6n-50
Step-by-step explanation:
they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
If their are no number of hats
Cost = 50+4n
Money gotten from the n number of hats= 10(n)
If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost
Money raised = money from sales- cost
Money raised= 10n -4n-50
Money raised($)= 6n-50
