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3 years ago

How can you decompose the composite figure to determine its area?

Mathematics

2 answers:

ycow [4]3 years ago

3 0

D is the correct answer. You can use cross sections. The top part is the first cross section with it being the trapezoid. Underneath the trapezoid is the rectangle which is supported by 2 smaller squares. If you want, you can draw it out and places lines to separate each shape. Hope this helps!

Sladkaya [172]3 years ago

3 0

Answer:

D. as a trapezoid, a rectangle, and two squares

Step-by-step explanation:

(image)

a is a trapezoid,

b is a rectangle,

and c and d are two squares

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Michael works in the marketing department of a company. He recorded the sales of his company for 10 consecutive months. The amou

castortr0y [4]

A) n(t) = 0.1(t - 8)3 + 51.2

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3 years ago

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The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in

Brrunno [24]

Answer:

In 30 minutes:

The minute hand moves a distance of 25.13 inches

In 20 minutes:

The minute hand moves a distance of 16.76 inches

Step-by-step explanation:

When 60 minutes are completed, the minute hand of the relog makes a complete revolution. The distance s that the minute hand travels when making a complete revolution is:

$s = 2\pi r$ Where r is the radius of the circumference, and in this case, the radius of the minute hand.

So:

$s = 16 \pi$

s = 50.27 inches.

In 30 minutes (which is half of 60) the minute hand covers only half a revolution. Then the distance traveled in 30 minutes is $\frac{1}{2}(s) = 25.13$ inches

In 20 minutes (which is one third of 60) the minute hand only travels a third of a complete revolution. Then the distance traveled in 20 minutes is $\frac{1}{3}(s) = 16.76$ inches

3 0

3 years ago

The quotient of two numbers is negative. It must be true that? A. Neither number is negative. B. One of the numbers is negative

denpristay [2]

n mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents movement to the right, negative represents movement to the left. If positive represents above sea level, then negative represents below level. If positive represents a deposit, negative represents a withdrawal. They are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset, a decrease in some quantity may be thought of as a negative increase. If a quantity may have either of two opposite senses, then one may choose to distinguish between those senses—perhaps arbitrarily—as positive and negative. In the medical context of fighting a tumor, an expansion could be thought of as a negative shrinkage. Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. The laws of arithmetic for negative numbers ensure that the common sense idea of an opposite is reflected in arithmetic. For example, − − 3 = 3 because the opposite of an opposite is the original thing.

6 0

3 years ago

A movie theater has a seating capacity of 235. The theater charges $5 for children, $7 for students, and $12 for adults. There a

Annette [7]

Answer:

61 adults, 122 children, and 52 students

Step-by-step explanation:

Let a = amount of adults, c = amount of children, and s = amount of students.

Let's go over what we know:

total amount: 235

twice as many children as adults

children: $5

student: $7

adult: $12

Using this information, we can determine the following:

a = 1/2c

235 = c + s + a

1706 = 5c + 7s + 12a

Since we know a = 1/2c, plug 1/2c in for a. The equations become:

235 = c + s + 1/2c

1706 = 5c + 7s + 6c

Now, solve the inequalities by substitution.

235 = c + s + 1/2c

235 = 1 1/2c + s

-s + 235 = 1 1/2c

-s = -235 + 1 1/2c

s = 235 - 1 1/2c

Now, plug in the value for s into the other equation.

1706 = 5c + 7(235 - 1 1/2c) + 6c

-5c + 1706 = 7(235 - 1 1/2c) + 6c

-5c = -1706 + 7(235 - 1 1/2c) + 6c

-5c = -1706 + 1645 - 21c/2 + 6c

-5c = -61 - 21c/2 + 6c

-5c = -61 - 9c/2

c = 122

Now, plug in the value for c into the value of s.

s = 235 - 1 1/2(122)

s = 235 - 183

s = 52

Finally, plug in the value for c into the value of a.

a = 1/2(122)

a = 61

To check, add up all values to make sure they equal 235.

61 + 52 + 122 = 235.

Therefore, the final answers are 61 adults, 122 children, and 52 students.

7 0

3 years ago

Maria is trying to estimate y70. She uses this table of values:

Temka [501]

Answer:

The answer is A. She should find the squares of numbers between 8.3 and 8.4.

Step-by-step explanation:

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3 years ago