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netineya [11]
3 years ago
10

The height of a rectangle is increasing at a rate of 111111 centimeters per hour and the width of the rectangle is decreasing at

a rate of 999 centimeters per hour. At a certain instant, the height is 333 centimeters and the width is 888 centimeters. What is the rate of change of the area of the rectangle at that instant (in square centimeters per hour)
Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

Area of a rectangle = A = 295704 centimeters ^{2}

Step-by-step explanation:

Given Data:

At a certain instant,

height of a rectangle = h = 333 centimeters

width of a rectangle = w = 888 centimeters

To Find Out:

Area of a rectangle = A = ?

Formula:

Area of a rectangle = A = h × w

Solution:

Area of a rectangle = A = h × w

Area of a rectangle = A = 333 × 888

Area of a rectangle = A = 295704 centimeters ^{2}

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Expand and simplify (x+5)(x-2)
neonofarm [45]

Answer:

{x}^{2}  + 3x  - 10

Step-by-step explanation:

(x + 5)(x - 2)

utilise the Foil method to expand brackets:

F - mulply the first terms (x and x)

O - multiply the outside terms ( x and -2)

I - multiply the inside terms (5 and x)

L - multiply the last terms (5 and -2)

Then add them as following:

{x}^{2}   - 2x + 5x - 10

Then combine like terms:

{x}^{2}  + 3x - 10

6 0
3 years ago
Read 2 more answers
2 – Efetue:
BartSMP [9]

A) 7x(-5)

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: (+) x (-)=(-)

(7x5)

Multiplique os valores

-35

resposta para  A: -35

B)(-9)x(-8)

A multiplicação dois números negativos resulta em um numero positivo : (-)x(-)=(+)

9 x 8

Multiplique os valores

72

Resposta para B :72

C)(-15) : 5

A divisão de um numero negativo por um positivo resulta em um numero negativo: (-):(+)=(-)

-(15:5)

Divida os números

-3

Resposta para C: -3

D) 125 : 25

Divida os números

5

Resposta para D: 5

POR FAVOR ME MARCA BRAINLIEST

5 0
2 years ago
Please find the answer and show your work so I can learn thanks!!
irga5000 [103]

Answer:

22.34 {km}^{2}

Step-by-step explanation:

The area of a circle:

A = πr^{2}

The problem gives the diameter of a circle, which is equal to 2*r.

If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.

Plugging this into the area equation,

A = π*{{8/3}}^{2}

A = \frac{{64*π}}{9} or approximately 22.34 {km}^{2}

8 0
3 years ago
Can you please help me find the area? Thank you. :)))
Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

A=w\cdot l

For our rectangle w=12 in and l=20 in, the area is:

\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

A=\frac{b\cdot h}{2}

For our triangle, the base is b=4in and the height is h=6in, then the area is:

\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}

The area of the figure is 228in²

8 0
1 year ago
The graph of y=4x has been shifted up 3 units.what is it’s new equation
Katyanochek1 [597]

I think it’s y=4x+3

4 0
3 years ago
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