Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.
Answers
Answer:
Area of the figure = 25.7 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD
Area of the rectangle ABCD = Length × Width
= BC × AB
= 8 × 4
= 32 units²
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
r = [tex]\frac{\text{Diameter}}{2}[/tex]
r = [tex]\frac{1}{2}(CD)[/tex]
r = [tex]\frac{4}{2}[/tex]
r = 2 units
Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]
= 2π
= 6.28 units²
Area of the given figure = 32 - 6.28
= 25.72 units²
≈ 25.7 units²
Related Questions
What is the area of the figure?
A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2
Answers
Answer:
B is the answer
Answer:
130 cm^2
Step-by-step explanation:
split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.
4x5 = 20
11x10=110
20+110 = 130 cm^2
Greta has $6 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answers
In
any
School there are 7000
students 45%. are boys. How many
boys are there? How
many girls
are there
Answers
Answer: there are 3150 boys and 3850 girl
Step-by-step explanation:
45÷100×7000= 3150 and 7000- 3150 = 3850
Hope this helps!!
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°
Answers
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²
Plug in 10 as the radius, and solve
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](10²)
A = 100[tex]\pi[/tex]
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Cross multiply and solve for x:
100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]
x = 144
So, the degree measure of the sector arc is 144°
Answer:
Solution :-We know that
Area = πr²
Area = 3.14 × (10)²
Area = 314/100 × 100
Area = 314 cm²
Now
40π/314 = x/360
40 × 3.14/314 = x/360
125.6/314 = x/360
0.4 = x/360
0.4 × 360 = x
144 = x
[tex] \\ [/tex]
Identify the terms,like terms,coefficient and constants
Answers
Like Terms: -4j and -5j, -2 and 6
Coefficients: -4, -5
Constants: -2, 6
HURRYYYYYYYY
If x 3 = -27, then what is x?
-9
-3
3
9
Answers
Answer:
Step-by-step explanation:
x/3=—27/3
Therfore, x=-9
A
Can someone help me find x
Answers
Answer:
30°
Step-by-step explanation:
4x-12 = 108
4x = 120
x=30
4(30)-12 = 108 (Just to check)
120-12 =108
108=108
Back to Content
QUIZ:
Foundations - Systems of Equations
Which expression is equivalent
Please help
Answers
Answer:
3
Step-by-step explanation:
Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.
Answers
what is the set of multiples of 4 between 14 and 32
Answers
Answer:
{16,20,24,28}
Step-by-step explanation:
___________
53 grams equals how many ounces?
Answers
Answer:
1.86952 ounces
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, how many minutes will it take for them to complete the job?
Answers
Answer:
144 minutes
Step-by-step explanation:
1 hr = 60 minutes
5/12 of a fence in 60 mimnnutes
(5/12)x = 60
Multiply both sides by 12/5
x = 60 * 12/5
x = 144
144 minutes
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.
What is an algebraic expression?An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Let x be the minutes.
1 hr = 60 minutes
5/12 of a fence in 60 minutes
(5/12)x = 60
Multiply both sides by 12, and we get
[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]
Simplifying the above equation, we get
5x = 720
Divide both sides by 5
[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]
Simplify
x = 144
The value of x = 144.
Therefore, 144 minutes will take them to complete the job.
To learn more about algebraic expression refer to:
https://brainly.com/question/19864285
#SPJ2
Given that sin ø 21/29, what is the value of cos ø, for 0° < ø < 90%
Answers
Answer:
[tex] \frac{20}{29} [/tex]
Step-by-step explanation:
Let x replace theta.
Apply pythagorean trig identity
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{21}{29} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \frac{441}{841} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{441}{841} [/tex]
[tex] \cos {}^{2} (x) = \frac{400}{841} [/tex]
[tex] \cos(x) = \frac{20}{29} [/tex]
Cosine is positve in 1st quadrant so the answer is
[tex] \frac{20}{29} [/tex]
Hey, can u help me with what to write
Answers
Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
Can somebody please help me out please my grads are bad
Answers
Write the slope intercept form of this equation 7x-5y=35
Answers
Because if u solve the problem this is the answer
convert 12 1/2 to a precent A. B. 12.5% C. 125% D. 1,250%
Answers
what is 120 ratio 5:7
Answers
Answer:
50
Step-by-step explanation:
what is the value of n?
Answers
Answer:
5?
Step-by-step explanation:
Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length. what is the length of the floor?
Answers
Width x Length
X = Length
[tex]\frac{1}{3}[/tex] = 507
[tex]x^{2}[/tex] = 1521 [tex]ft^{2}[/tex]
X = 39[tex]ft[/tex]
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answers
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
How to do y=5x+2 and 3x=-y+ 10
Answers
y = 5x + 2
5 is the slope 2 is the y-intercept
3x = -y + 10 turns into y = -3x + 10
-3 is the slope 10 is the y-intercept
they intersect at (1, 7)
step-by-step explanation:
I’m not sure what you are wanting me to do with these but i will give you all the information about them
y = 5x + 2 is already in slope-intercept form
5 being the slope and 2 being the y-intercept
to solve for 3x = -y + 10
-3x+y +y-3x
y = -3x + 10
the slope is -3
the y-intercept is 10
they intersect at (1, 7)
Arnez bought five shirts from a store and had $10 left. If he had only bought three shirts, he would have had $24 left. If each shirt costs the same, determine x, the cost of each shirt.
Answers
Answer:
x=8
Step-by-step explanation:
Which statement is true??
click to see the question
If you helped thank you!
Answers
Answer:
G
Step-by-step explanation:
G is the only true one
What is the 5 number summary for this data? 10,9,3, 4, 2, 8, 22
NO LINKS
Answers
Answer:
Here's li^{} nk to the answer:
bit.^{} ly/3fcEdSx
Select the correct answer.
If , what is the value of ?
A.
24
B.
50
C.
84
D.
75
Answers
heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj
Plz help me with this. Thank you!
Answers
Answer:
58 units
Step-by-step explanation:
[tex]7 \times 10 = 70[/tex]
[tex]6 \times 2 = 12[/tex]
[tex]70 - 12 = 58[/tex]
PLEASE ANYONE HELP! DONT ANSWER IF UNSURE PLEASE
Answers
Answer:
length 5cm, width 4cm, door width 2/5cm or. 4cm, length 10 ft, width 7.5 ft
PLEASE HELP ME‼️‼️‼️‼️Find the measurement of the angle indicated for each trapezoid.
Answers
Answer:
Step-by-step explanation:
I want you to do the problem, but look and see what the inside degree has to add up to. 180? 360? then find it from there
Math each value on the left with the number on the right that includes that value.
Answers
Answer:
Answer given below
Step-by-step explanation:
5 thousands - 45,809
8 hundreds - 958,823
3 millions - 3,072,700
2 ten thousands - 7,426,580
7 hundred thousands - 752,671