Sienna has 80 yards of fencing to enclose a rectangular area. Find the dimensions that maximize the enclosed area. What is the maximum area?

Answers

Answer 1

Answer: $2x+2y=80\ \ \ /:2\n\n2x:2+2y:2=80:2\n\nx+y=40\ \ \ /-x\n\ny=40-x\ \ \ (D_x:x\in(0;\ 40))$

$Area=xy\n\nsubstitute\ y=40-x\n\nArea=x(40-x)=-x^2+40\n(it's\ quadratic\ function\ where\ a=-1;b=40;c=0)\n\nvertex\ of\ parabola:p=(-b)/(2a)\to p=(-40)/(2\cdot(-1))=(-40)/(-2)=20-it's\ max\n\nx=20\ then\ y=40-20=20\n\nAnswer:dimensions\ of\ rectangular\ is\ 20\ yd\ *\ 20\ yd,\nand\ area\ is\ 20^2=400\ yd^2.$

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Parallel lines never intersect, therefore, do not have a solution.
a. True
b. False

Answers

If the lines are parallel to each other, it won't intersect. It means that we can't get any intersect point by solving equations. There is no coordinate which satisfy both lines.

Brandon is 6 times as old as Cora. In 4 years, Brandon will be only twice as old asCora will be then. Find Brandon’s age now.

Answers

$C-Cora's\ age\ now\nB-Brandon's\ age\ now\n\nB=6C\ \ \ and\ \ \ B+4=2(C+4)\n\n6C+4=2C+8\n6C-2C=8-4\n4C=4\ \ \ \Rightarrow\ \ \ C=1\ \ \ \Rightarrow\ \ \ \ B=6\cdot1=6\n\nAns.\ Brandon\ is\ now\ 6\ years.$

1.Simplifying the following expression small 1-3s-s+8-2, the new expression is blank

Answers

Answer:

Step-by-step explanation:

1 - 3s - s + 8 -2 = 1 + 8 - 2 -3s - s

= 9 - 2 - 4s

= 7 - 4s

Here, 1 , 8 & (-2) are like term and when we add we get 7

-3s & -s are like terms. Add the coefficient of s , -3 +(-1) = -4

Which expression gives the volume of a sphere with radius 8?A. 4(83)
B. (82)
C. (83)
D. 4(82

Answers

Given:
radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³
V = 1.33 * 3.14 * 512
V = 2,138.21 cubic unit

The volume of a sphere is (4/3)π(r^3)

Here r = 8

Then the expression for this sphere is 4π(8^3)/3 = 4*1.05 (8^4) ≈ 4(8^3)

You have to check the options..

Angela scored 15 points less than twice the lowest score on a math test. If her score was95, what was the lowest score on the test?

Answers

Answer:

Step-by-step explanation:

To find the lowest score on the math test, we can set up an equation based on the information given.

Let's denote the lowest score as "x".

According to the information given, Angela scored 15 points less than twice the lowest score.

Twice the lowest score is 2x, and Angela's score is 15 points less than that, so her score can be represented as 2x - 15.

Given that Angela's score is 95, we can set up the equation: 2x - 15 = 95

To solve for x, we can add 15 to both sides of the equation: 2x - 15 + 15 = 95 + 15

Simplifying, we have: 2x = 110

Finally, we can divide both sides of the equation by 2 to isolate x: 2x/2 = 110/2

Simplifying further, we get: x = 55

Therefore, the lowest score on the math test was 55.

Convert to metric 7gram = mg

Answers

Answer:

I think it's 7000 mg because 1 gram equals to 1000 milligrams and so well if 1 gram equals to 1000 so 7 gram would be more and we have to multiply 1000 by 7 which give us 7000

Answer:

7000 mg

Step-by-step explanation:

to convert grams into milligrams you have to multiply by 1000, 7 times 1000 is 7000

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