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3 years ago

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How to do part iii please

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

-In mathematics, the argument is a multi-valued function operating on the nonzero complex numbers. With complex number z visualized as a point in the complex plane, the argument of z is the angle between the positive real axis and the line joining the point to the origin, shown as φ in figure 1 and denoted arg z. To define a single-valued function, the principal value of the argument (sometimes denoted Arg z) is used. It is chosen to be the unique value of the argument that lies within the interval (–π, π].

Step-by-step explanation:

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8/9 - Evaluating Algebraic Expressions

Alecsey [184]

9514 1404 393

Answer:

(a) 20

Step-by-step explanation:

Put the numbers in place of the corresponding letters and do the arithmetic.

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3 years ago

Patty bought a "P" poster to put on her wall, as shown below.

kolezko [41]

The area of the poster is B. 535.5 in².

Step-by-step explanation:

Step 1:

The poster consists of a rectangle and three-quarters of a circle.

The rectangle has a length of a and width of 3a. The circle has a radius of a.

We calculate the areas of the individual shapes and sum them up to calculate the entire area of the poster.

Step 2:

The area of a rectangle is the product of its length and its width.

If a = 10 inches, the length is 10 inches and the width is 30 inches.

The area of the rectangle $= (l)(w) = (10)(30)= 300.$

The area of the rectangle is 300 in².

Step 3:

The area of a circle $= \pi r^{2} .$ Here we only have three-quarters of a circle, so

The area of the given circle $=\frac{3}{4} ( \pi r^{2} ).$

Here r = a = 10 inches.

So the area of the circle $=\frac{3}{4} ((3.1415) (10^{2}) ) = 235.6125.$

The area of the circle is 235.6125 in².

Step 4:

The total area of the shape = The area of the rectangle + The area of the circle.

The total area of the shape $= 300 + 235.6125 = 535.6125.$

So the area of the poster is B. 535.5 in².

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3 years ago