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
zalisa [80]
3 years ago
6

The curved part of this figures is a semicircle.

Mathematics
2 answers:
ddd [48]3 years ago
5 0
The answer is 14 + 8.125 units. 
vovangra [49]3 years ago
3 0

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65

Radius is half of diameter, so the radius is

Radius= \frac{ \sqrt{65}}{2}

Formula of area of circle is

Area = \pi r^2

So the area of semicircle is

=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units

And the other figure is a triangle, with

Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4

Area = (1/2)*4*7= 14 square units

Therefore, total area is the sum of area of semicircle and area of triangle,

And we will get

Total \ area= 14 + 8.125 \pi \ units^2

Correct option is the third option .

You might be interested in
16. A large-sample 95 percent confidence interval for the proportion of credit
borishaifa [10]

Answer:

(B) 0.057

Step-by-step explanation:

The 95% confidence interval is (0.028, 0.086). The formula for the confidence interval is μ ± e where μ is the mean and e is the margin of error.

Therefore the confidence interval is (μ - e , μ + e).

That is μ - e = 0.028 and μ + e = 0.086

To get the point estimate which is the mean, we sum the two proportions and divide it by two.

Therefore point estimate (μ) = (0.028 + 0.086) / 2 = 0.057

3 0
3 years ago
Внешний диаметр полого шара равен 16 см. Толщина стенок 2 см Найти
DIA [1.3K]

Answer:

Внешний радиус

Тогда внутренний радиус

Объем материала равен разности объемов внешнего и внутреннего шаров, то есть

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!<br>What is the sum of the measures of the exterior angles of this triangle?
RideAnS [48]

282

Step-by-step explanation:

C=180-112=68

A=180-68-51=61

sum of exterior angles=112+119+51=282

4 0
3 years ago
A sweater for $36 at 7% sale tax
tresset_1 [31]
\frac{7}{100} =  \frac{?}{36} so you cross multiply 36*7 which is 252÷100= 2.52. Then add 2.52 to 36 and your answer is 38.52
3 0
3 years ago
The coordinates of polygon ABCD are A(-4,-1), B(-2,3), C(2,2), and D(4,-3). Use these coordinates to complete the sentences belo
oee [108]

Answer:

The perimeter of polygon ABCD, to the nearest thousandth units is

22.227 units

The perimeter of polygon ABCD', to the nearest thousandth, would be 20.980 units

The area of polygon ABCD' is 19.5 units²

Step-by-step explanation:

The coordinates forming the polygon are

A (-4,-1), B(-2,3), C(2,2), and D(4,-3)

The perimeter then is given by the sum of the length of the sides as follows;

Length of line between two X and Y points distance, xi and yj apart is

length XY =  \sqrt{x^2+y^2}

Therefore, the length between points AB is

length AB = \sqrt{(-4 - (-2))^2+(-1-3)^2}

= \sqrt{(-4 +2)^2+(-4)^2} = \sqrt{-2^2+-4^2}  = \sqrt{20}  = 4.472 units

Similarly, length BC is given by

Length BC =  \sqrt{(-4)^2+1^2} =  \sqrt{17} = 4.123 units

Length CD = \sqrt{(-2)^2+5^2} =  \sqrt{29} = 5.385 units

Length DA = \sqrt{(8)^2+(-2)^2} =  \sqrt{68} = 8.246 units

The perimeter is equal to;

length AB + Length BC + Length CD + Length DA

= 4.472 + 4.123 + 5.385 + 8.246 = 22.227 units

If the point D is moved up 2 units and left 1 unit we have

D' = x-1, y+2 where x and y are the coordinates of point D

D(4, -3) → D'((4-1), (-3+2)) = D'(3, -1)

The length D'A =  \sqrt{(7)^2+(0)^2} =  \sqrt{49} =7 units

The perimeter of polygon ABCD'

length AB + Length BC + Length CD + Length D'A

= 4.472 + 4.123 + 5.385 + 7 = 20.980 units.

The area is given by the determinant of the 3 by 3 matrix using Cramer's Rule as follows

 S_{\bigtriangleup} = (\frac{1}{2})|x_1y_2+x_2y_3+x_3y_1-x_1y_3-x_2y_1-x_3y_2|

= (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

Triangle ABC we have

A(-4,-1)

B(-2,3)

C(2,2)

S_{{\bigtriangleup}ABC} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(3-2)+(-2)(2-(-1)) +2((-1)-3)|

= =(\frac{1}{2})|-4-6 -8|= 9 units^2

Triangle ACD'

A(-4,-1)

C(2,2)

D'(3, -1)

S_{{\bigtriangleup}ACD'} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(2+1)+(2)(-1+1) +3((-1)-2)| = \frac{21}{2} = 10.5 units²

Area of polygon =   S_{{\bigtriangleup}ABCD'} = S_{{\bigtriangleup}ABC} + S_{{\bigtriangleup}ACD'} = (9 + 10.5) units²

Area of polygon ABCD' = 19.5 units².

7 0
3 years ago
Other questions:
  • show how to multiply 6×298 using friendly numbers and then using properties and mental math. write about which method you like b
    14·1 answer
  • Between 9 p.m and 6:45 a.m, the water level in a swimming pool decreased by 3/16 in. Assuming that the water level decreased at
    13·1 answer
  • Show proof and work for brainliest
    14·1 answer
  • 4a x 6a⁵ ÷ 8a²<br><br>please answer the question in full steps, thank you ​
    10·2 answers
  • 3. You need to earn at least $115. You earn $10.00 for each hour you work.
    14·2 answers
  • BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT<br><br> ~no links pls~
    14·2 answers
  • Write the equation in standard form of the line that passes through the points (7,-3) and (-3,1).​
    7·2 answers
  • 25 3/2 in radical form
    14·1 answer
  • Write a two-column proof in your journal, upload the image, and submit to your teacher.
    11·1 answer
  • A rectangular swimming pool is 19 meters long, 11 1/2 meters wide, and 1 1/2 meters deep. What is its volume?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!