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3 years ago

What is the area of the composite figure

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

Answer:

Step-by-step explanation:

The bottom right part is a rectangle, 2 m by 5 m.

A = 2 m * 5 m = 10 m^2

The curved part is a larger semicircle with an inner semicircle missing.

We find the area of the larger semicircle and subtract from it the area of the smaller semicircle.

Larger semicircle: radius = 4 m

area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(4 m)^2 = 8pi m^2

Smaller semicircle: radius = 2 m

area of semicircle = (1/2)(pi * r^2) = (1/2)(pi)(2 m)^2 = 2pi m^2

Area of circular part: 8pi m^2 - 2pi m^2 = 6pi m^2

Total area: 6pi m^2 + 10 m^2 = (6pi + 10) m^2

You might be interested in

The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st

Zepler [3.9K]

Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

Since nothing is known about the distribution, we use Chebyshev's Theorem.

What percentage of these commuting times are between 30 and 110 minutes

30 = 70 - 2*20

110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

8 0

3 years ago

Need a little help with one please

Pani-rosa [81]

Answer:

That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Looking at triangles ABC and DEF, we notice that:

$\frac{AB}{DE} = \frac{AC}{DF}=\frac{BC}{EF}$

since

$\frac{3}{18} = \frac{6}{36}=\frac{7}{42}=\frac{1}{6}$

Let me know if you have further questions.

4 0

2 years ago

2.5. Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of t

Liula [17]

This is the answer D.73.92

8 0

2 years ago

Solve y over negative 2 + 5 = 13.

sattari [20]

Y/(-2+5)=13
y/(3)=13
y=39

6 0

2 years ago

John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled

Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

$y= -\frac{2}{5}x+20\\$

The slope is, $-\frac{2}{5}$ and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

$y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20$

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0

1 year ago