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Sloan [31]
3 years ago
6

Find the dimensions of a rectangle whose area is 306cm2 and whose perimeter is 70 cm

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer: the rectangle of maximum area is a square of side length 1= 4 cm let x and y be the lengths of the sides of the rectangle measured in cm

Step-by-step explanation:

then the perimeter is

2x+2y=16

so that:

y=8- x

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Y - X=-5<br> y = 2x2-3x-5<br> PLEASE HELP AND SHOW WORK <br> (substitution)
nikdorinn [45]

Answer:

Step-by-step explanation:

y - x = -5

y =  x-5

y = 2x² - 3x - 5

x-5 = 2x² - 3x - 5

2x² - 4x = 0

x² - 2x  = 0

x(x - 2) = 0

x = 2, 0

(x,y) = (2,-3), (0,-5)

8 0
3 years ago
Matthew has $25 he goes to the movie and spent eight dollars on a movie ticket then four dollars on popcorn do you want to frien
Virty [35]

Answer: $23

Step-by-step explanation:

1) 25-8=17

2) 17-4= 13

3) 13+10= 23

Matthew has $23 now

8 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
2 years ago
Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be mo
k0ka [10]
The total revenue for the event would the total amount earned from the tickets sold. So if x people attended the event, then there would be $(161x). We must keep in mind though the the maximum seating is 76 876. That means that the maximum revenue that can be earned must not exceed $(161)(76 867) = . Hence we have f(x) = 161x where 0 ≤ x ≤ 76867. From this, we can see that the domain is [0, 76867] while range is [0, 12375587]<span>.</span>
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3 years ago
How many times does 9 go into 12?
tamaranim1 [39]

Answer:

one time.

Step-by-step explanation:

5 0
3 years ago
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