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2 years ago

Find the area of the shaded regions.

Mathematics

1 answer:

koban [17]2 years ago

3 0

Answer:

A = 27π cm² or about 84.8 cm²

Step-by-step explanation:

Area of a full circle is πR²

As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing

A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²

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Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?

svet-max [94.6K]

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

$Length = 4\frac{1}{4}yd$

$Width = 1\frac{2}{3}yd$

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

$Area = Length * Width$

$Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd$

Express as improper fraction

$Area = \frac{17}{4}yd * \frac{5}{3}yd$

So, we have:

$Area = \frac{17*5}{4*3}yd^2$

$Area = \frac{85}{12}yd^2$

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

$Total = n * Area$

$Total= n * \frac{85}{12}yd^2$

--------------------------------------------------------------------------------------------

Assume n is 3 (i.e. 3 containers)

The total area is:

$Total= 3 * \frac{85}{12}yd^2$

$Total= \frac{85}{4}yd^2$

$Total= 21\frac{1}{4}yd^2$

--------------------------------------------------------------------------------------------

6 0

3 years ago

99 POINTS! If the area of the figure is 16 square centimeters, what is the height of the triangle?

erastovalidia [21]

Answer:

The height of the triangle is 3.2 cm.

Step-by-step explanation:

The area of the triangle = $16 cm^2$

Base of the triangle = 10 cm

Height of the triangle = h cm

Area of the triangle = $\frac{1}{2}\times Base\times height$

$16 cm^2=\frac{1}{2}\times 10 cm \times h$

h = 3.2 cm

The height of the triangle is 3.2 cm.

8 0

2 years ago

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Dustin is riding his bike from Logan, Utah to Jackson Hole, Wyoming in a bike race. He must ride at least 200

sashaice [31]

Answer:the answers is 88 1/2

Step-by-step explanation:

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3 years ago

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Solve the following equation for a. <br> -4G+1/8Qa=7<br> Answer: a=?

kolbaska11 [484]

By making a the subject of formula in the given equation, the value "a" is equal to 1/(56Q + 32GQ).

<h3>What is an equation?</h3>

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In this exercise, you're required to solve for a from the given mathematical expression (equation) by making it the subject of formula. This ultimately implies that, all the other variables would be defined in terms of a and they would all be on the same side of the "equal to" symbol.

Making a the subject of formula, we have:

-4G + 1/8Qa = 7

1/8Qa = 7 + 4G

Multiplying both sides by 8Q, we have:

8Q × 1/8Qa = (7 + 4G) × 8Q

1/a = 56Q + 32GQ

a = 1/(56Q + 32GQ).

Read more on subject of formula here: brainly.com/question/21140562

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6 0

1 year ago

Y=2x y=7x + 15 substitution