The length of rectangular mosaic flag is 710 feet and width is 470 feet
Step-by-step explanation:
Let l be the length of the flag
and
w be the width
Then according to given statement
l = w+240
Perimeter = 2360 feet
The formula for perimeter is given by:
Putting values
![2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w](https://tex.z-dn.net/?f=2360%20%3D%202%5Bw%2B240%2Bw%5D%5C%5C%5Cfrac%7B2360%7D%7B2%7D%20%3D%20%5Cfrac%7B2%5Bw%2B240%2Bw%5D%7D%7B2%7D%5C%5C1180%20%3D%202w%2B240%5C%5C1180-240%20%3D%202w%2B240-240%5C%5C940%20%3D%202w)
Dividing both sides by 2
The width is 470 feet
Now,
Hence,
The length of rectangular mosaic flag is 710 feet and width is 470 feet
Keywords: Perimeter, dimensions
Learn more about perimeter at:
#LearnwithBrainly
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Answer:
Step-by-step explanation:
A. c=30+45(h)
B. 30+45(6.5)= 30+292.50= 322.50
He pays a set rate of $30.00. He also pays a charge of $45 an hour for work. The electrician worked 6.5 hours. Take the 45 and multiply that by the 6.5 hours to get $292.50. Take that charge and add the set fee of $30. You get a total of $322.50 he will pay for the electrician.
The <span> answer is 6.75. Since if you divide the number by 8 you get 6.75.</span>
First we find the slope by using the slope formula : (y2 - y1) / (x2 - x1)
slope = (y2 - y1) / (x2 - x1)
(0,7)....x1 = 0 and y1 = 7
(8,-2)...x2 = 8 and y2 = -2
now sub...pay attention to ur signs
slope = (-2 - 7) / (8 - 0) = -9/8
now we use y = mx + b
slope(m) = -9/8
u can use either of ur points...(0,7)...x = 0 and y = 7
now sub into ur formula and find b, the y int
7 = -9/8(0) + b
7 = b
so ur equation is : y = -9/8x + 7 <==
