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3 years ago

Which polynomial is in standard form?

Mathematics

2 answers:

mamaluj [8]3 years ago

8 0

Answer:

Step-by-step explanation:

mrs_skeptik [129]3 years ago

5 0

Answer:

option 3 is the answer

Step-by-step explanation:

A polynomial in two variables is said to be in standard form if exponent of one variable is keep decreasing and another variable keep increasing

only option 3 follows it

As here exponent of x start from 5 and decreases up to 0

and exponent of y start from 0 and keep increasing up to 5

rest of the option do not follow this rule

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Step-by-step explanation:

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3 years ago

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The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

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Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

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3 years ago

A certain restaurant sells coffee for 2.00 and donuts for 1.50. If the restaurant sold 80 items and earned 141.50 how many donut

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Answer:

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Step-by-step explanation:

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