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Ainat [17]
3 years ago
12

Each side of a square is increasing at a rate of 4 cm/s. at what rate is the area of the square increasing when the area of the

square is 16 cm2?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0
Confusing question but I would get 0, as if you have 4cm, that squared = 16cm^2. Therefore if it were increasing anymore, then you would not be able to get a value of 16.
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I am a multiple of 70 I am between 300 and 500 I am 20 more than a multiple of 100 who am I?
Harlamova29_29 [7]
#420

because 70x4=420 within 300 and 500 and is greater than 400 which is a multiple of 100
8 0
3 years ago
dana is flying a kite whose string is 65 meters long and makes a 70 degree angle with the ground. How far is the kite above the
SSSSS [86.1K]
Here you would want to use the sine function, since it’s making a triangle with the ground, and length of the string, the height to the kite. This can be found by 65sin(70°) which is ≈ 61.08 meters
3 0
3 years ago
The front row in a movie theater has 23 seats. If you were asked to sit in the seat that occupied the median position, in which
Scorpion4ik [409]

Answer:

You would have to sit in the 12th seat. (12)

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers.

3 0
2 years ago
IF l || m , find the values of x and y
egoroff_w [7]

Answer:

x = 8

y = 21

Step-by-step explanation:

(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:

(7x + 12)° = (12x - 28)°

Solve for x

7x + 12 = 12x - 28

Collect like terms

7x - 12x = - 12 - 28

-5x = -40

Divide both sides by -5

-5x/-5 = -40/-5

x = 8

(12x - 28)° + (9y - 77)° = 180° (linear pair)

To find y, plug in the value for x = 8.

12(8) - 28 + 9y - 77 = 180

96 - 28 + 9y - 77 = 180

Combine like terms

- 9 + 9y = 180

Add 9 to both sides

-9 + 9y + 9 = 180 + 9

9y = 189

Divide both sides by 9

9y/9 = 189/9

y = 21

5 0
3 years ago
The coordinates of polygon ABCD are A(-4,-1), B(-2,3), C(2,2), and D(4,-3). Use these coordinates to complete the sentences belo
PolarNik [594]

Answer:

The perimeter of polygon ABCD, to the nearest thousandth units is

22.227 units

The perimeter of polygon ABCD', to the nearest thousandth, would be 20.980 units

The area of polygon ABCD' is 19.5 units²

Step-by-step explanation:

The coordinates forming the polygon are

A (-4,-1), B(-2,3), C(2,2), and D(4,-3)

The perimeter then is given by the sum of the length of the sides as follows;

Length of line between two X and Y points distance, xi and yj apart is

length XY =  \sqrt{x^2+y^2}

Therefore, the length between points AB is

length AB = \sqrt{(-4 - (-2))^2+(-1-3)^2}

= \sqrt{(-4 +2)^2+(-4)^2} = \sqrt{-2^2+-4^2}  = \sqrt{20}  = 4.472 units

Similarly, length BC is given by

Length BC =  \sqrt{(-4)^2+1^2} =  \sqrt{17} = 4.123 units

Length CD = \sqrt{(-2)^2+5^2} =  \sqrt{29} = 5.385 units

Length DA = \sqrt{(8)^2+(-2)^2} =  \sqrt{68} = 8.246 units

The perimeter is equal to;

length AB + Length BC + Length CD + Length DA

= 4.472 + 4.123 + 5.385 + 8.246 = 22.227 units

If the point D is moved up 2 units and left 1 unit we have

D' = x-1, y+2 where x and y are the coordinates of point D

D(4, -3) → D'((4-1), (-3+2)) = D'(3, -1)

The length D'A =  \sqrt{(7)^2+(0)^2} =  \sqrt{49} =7 units

The perimeter of polygon ABCD'

length AB + Length BC + Length CD + Length D'A

= 4.472 + 4.123 + 5.385 + 7 = 20.980 units.

The area is given by the determinant of the 3 by 3 matrix using Cramer's Rule as follows

 S_{\bigtriangleup} = (\frac{1}{2})|x_1y_2+x_2y_3+x_3y_1-x_1y_3-x_2y_1-x_3y_2|

= (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

Triangle ABC we have

A(-4,-1)

B(-2,3)

C(2,2)

S_{{\bigtriangleup}ABC} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(3-2)+(-2)(2-(-1)) +2((-1)-3)|

= =(\frac{1}{2})|-4-6 -8|= 9 units^2

Triangle ACD'

A(-4,-1)

C(2,2)

D'(3, -1)

S_{{\bigtriangleup}ACD'} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(2+1)+(2)(-1+1) +3((-1)-2)| = \frac{21}{2} = 10.5 units²

Area of polygon =   S_{{\bigtriangleup}ABCD'} = S_{{\bigtriangleup}ABC} + S_{{\bigtriangleup}ACD'} = (9 + 10.5) units²

Area of polygon ABCD' = 19.5 units².

8 0
3 years ago
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