1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nutka1998 [239]
3 years ago
8

Identify the area of the figure rounded to the nearest tenth.

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}

Step-by-step explanation:

This problem can be solved calculating the area of the full rectangle, and substracting the area of the circle that is in the center of the figure.

The formula we use to calculate the rectangle's area is:

Ar = b . h

Being b = 22 cm and h= 10 cm

Ar = 22 cm . 10 cm = 220 cm^{2}

So now, we have to calculate the area of the circle:

Ac = \pi . radius^{2}

Being the radius, the half of the circle's diameter. To know the diameter (distance between opposite points of the circle), we have to substrate the space that is occupied by the circle to the full lenght of the base of the rectangle. If we know that the full lenght of the base is 22 cm, and that the opposite lenght is only 14 cm (7 cm + 7 cm), then we know that the circle occupies 8 cm (22 cm - 14 cm).

So the diameter of the circle is  8 cm. That means that it's radius is 4 cm.

Ac = \pi . (4 cm)^{2} = \pi . 16cm^{2} = 50.26cm^{2}

So now we substract the area of the circle to the area of the full rectangle and we obtein the area of the figure.

A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}

A = figure's area, Ac = circle's area, Ar= rectangle's area.

You might be interested in
How many edges does a rectanglar prism have?
natta225 [31]

It has 12 edges in total

3 0
3 years ago
I really need help on this.
Genrish500 [490]
Maybe 50 meters I’m not sure
5 0
2 years ago
When expressing sets, you may write "inf" for infinity and "U" for union.
GarryVolchara [31]

Answer:

The complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

A=\{x|x\in R,-5

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

U=\{x|x\in R\}

The complement of the given set is

A^c=U-A

A^c=\{x|x\in R,-\infty

Complement of the given set in interval notation is

A^c=(-\infty,-5]\cup(6,\infty)

Therefore the complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

3 0
3 years ago
Question 3 of 21
ivolga24 [154]

The equation of the red graph, g(x) is g(x) = |x| - 5

<h3>How to determine the equation of the red graph, g(x)?</h3>

The graph that completes the question is added as an attachment

The function f(x) is given s:

f(x) = |x|

From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).

This means that:

g(x) = f(x) - 5

Substitute f(x) = |x|

g(x) = |x| - 5

Hence, the equation of the red graph, g(x) is g(x) = |x| - 5

Read more about function transformation at:

brainly.com/question/3381225

#SPJ1

7 0
1 year ago
Wellpp, I am kinda lost! The answer I got was 27.​
LekaFEV [45]

Answer:

26.7 (1 d.p.)

Step-by-step explanation:

Please see attached picture for full solution.

8 0
3 years ago
Other questions:
  • Circle the letter that is true about the grain size in rock
    10·1 answer
  • What is the value of (–4)–3?
    7·1 answer
  • What is Simplify 3^-2 • 3^5
    12·1 answer
  • 1+1<br> Need help to hard
    15·2 answers
  • The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg
    15·1 answer
  • Which of the following is an arithmetic sequence?
    10·1 answer
  • A number is chosen at random from 1 to 50. Find the probability of selecting numbers greater than 30 and less than 36
    5·1 answer
  • Find the ​slope-intercept form of the equation of the line that passes through the point P and makes angle with the positive ​x-
    15·1 answer
  • Moses earns a gross salary of 10 500 per month. th basic monthly expenses used from the income are as follows ,housing expense 2
    12·1 answer
  • Find the miing value in the ratio table. Then write the equivalent ratio. Plum 14 42 Grape 7 3 24 The equivalent ratio are 14 :
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!