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Ne4ueva [31]
3 years ago
15

A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8m/min. How fast is the area of the

square increasing when the sides are 8m each.

Mathematics
2 answers:
ad-work [718]3 years ago
7 0

Answer: The area of the square is increasing at a rate of 90.4 m2/min (square meters/minute)

Step-by-step explanation: Please see the attachments below

Svetach [21]3 years ago
7 0

Answer:

The area of the square is increasing at 90.51m^2/min

Step by step explanation:

Given;

Change in diagonal length ∆d = 8m/min

Length l = 8m

When l = 8m

d^2 = 2l^2 = 2×8^2 = 128

d = √128

Area of a square = l^2 = (d^2)/2

d = diagonal

Change in area = ∆A = dA/dd

∆A = 2 × d/2 × ∆d = d×∆d

∆A = √128 × 8 = 90.51m^2/min

You might be interested in
A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r
navik [9.2K]

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

4 0
2 years ago
Help pls
timurjin [86]

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

3 0
2 years ago
Select all the equations on which the point (10, 0) lies.
hjlf

Answer:

A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20

5 0
3 years ago
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ahrayia [7]

Answer:

9. x=-6, y=0

10. x=-9, y=-10

11. x=3, y=-1

Step-by-step explanation:

2x-9y=-12\\3x+18y=-18

Multiply the first equation by 2.

4x-18y=-24\\3x+18y=-18

Add the equations.

7x=-42

x=-6

We figured out x now we have to figure out y. To figure out y plug in x into any equation.

2(-6)-9y=-12

-12-9y=-12

-9y=0

y=0

Your answer is x = -6 and y = 0 for number nine.

6x+3y=24\\2x+3y=-12

Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.

6x+3y=24\\-2x-3y=12

Add them.

4x = 36

x=9

Now we have to figure out y.

2(9)+3y=-12

18+3y=-12

3y=-30

y=-10

x=-9 and y=-10 is your answer to number ten.

10x+5y=25\\-7x-3y=-18

30x+15y=75\\-35x-15y=-90

-5x=-15

x=3

-7(3)-3y=-18

-21-3y=-18

-3y=3

y=-1

x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.

4 0
3 years ago
Read 2 more answers
- 4 -( -6) <br><br> 7 - (-4) <br><br> thank you to who ever solves it
fomenos
-4-(-6) = 2
7-(-4) = 11
5 0
3 years ago
Read 2 more answers
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