Answer:
24π inches
Step-by-step explanation:
The area of a circle is denoted by: , where r is the radius. Here, we know that the area is A = , so we can plug this in to find r:
A = [tex]\pi r^{2}[/tex]
[tex]144\pi = \pi r^{2}[/tex]
[tex]r^{2}[/tex] = 144
r = 12
The circumference is denoted by: , where r is the radius. We've found the radius so just plug 12 in for r:
Thus, the circumference is 24π inches.
Hope this helps!
Correct Question :
The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of pi.
[tex] \: [/tex]
Step-by-step explanation:
Before finding the circumference of the circle, we have to find the radius of it.
We already know that,
[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \pi r{}^{2} = \: \: Area_{(circle)}}}}}} \: \: \bigstar \\ \\ [/tex]
So, using this formula we'll find the radius and now we'll substitute the given values :
[tex] \longrightarrow \qquad{ \sf{ \pi \times r{}^{2} = \: 144 \pi }} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\longrightarrow \qquad{ \sf{ \cancel\pi \times r{}^{2} = \: 144 \cancel\pi }} \\ \\[/tex]
[tex]\longrightarrow \qquad{ \sf{ r{}^{2} = \: 144 }} \\ \\ [/tex]
[tex]\longrightarrow \qquad{ \sf{ r{}^{} = \: \sqrt{144} }} \\ \\ [/tex]
[tex]\longrightarrow \qquad{ \sf{ \pmb{ r{}^{} = \: 12 }}} \\ \\ [/tex]
So,
The radius of the circle is 12 inches.[tex] \\ [/tex]
Now we'll find the circumference of the circle :
[tex] \\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ [/tex]
Now, we'll substitute the required values in the formula :
[tex] \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times \pi \times 12}}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 12 \pi }}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb{ \: \: Circumference_{(circle)} = 24 \pi }}}} \: \: \\ \\ [/tex]
Therefore,
The circumference of the circle is 24π inchesMrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?
Answer: 12,888 in^2 (inches squared)
Step-by-step explanation:
Calculate the compound interest on $6 000 if invested for 3 years at 7.5% per annum.
multiple choice answers:
$6000 $7453.78 $1453.78 $7534.87
Last year, there were n pies baked for the bake sale. This year, there were 228 pies baked. Using , write an expression for the total number of pies baked in the two years.
Mrs. Gomez purchased a pair of sneakers for $32.50 and two shirts for
$13.00 each. If Mrs. Gomez pays 8% in sales tax, then what is the total
cost Mrs. Gomez will pay for the sneakers and shirts? *
Your answer
Answer:
62.86
Step-by-step explanation:
Add the cost of things without sales tax:
32.5+ (13×2)=58.5
Convert percent to decimal:
8/100=0.08
Multiply cost without sales tax by sales tax to get the amount added to the cost:
0.08×58.2=4.656
Add cost and sales tax amount to get total payment:
4.656+58.5=62.856
Round the total payment to the nearest hundredth place:
62.86
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
What is the mode of the data set?
8
9
10
5
Answer:
8
Step-by-step explanation:
It has the highest frequency
YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?
Answer:
13%
Step-by-step explanation:
can sombody help me i am bad at math illl give brainlist tho
Answer:
A and C are correct
Step-by-step explanation:
Making the decimal value greater than 4.3 or 4.30 will make the statement correct
Answer:
A
Step-by-step explanation:
incomplete statement
4.3 < 4 ← obviously not true
to make the statement true requires the value in the tenths place to be greater than 3 , for example
4.3 < 4.4 ← is a true statement
8 nickels 12 pennies?
Answer:
52 cents :)
Step-by-step explanation:
Nickel: 5 cents
Penny: 1 cent
5 x 8 = 40
12 x 1 = 12
40 + 12 = 52
Have an amazing day!!!
Please rate and mark brainliest!!
45+40+45=55+60+90+30+55+35+60+45+75
Answer:
635
Step-by-step explanation:
Answer:
45+40+45=55+60+90+30+55+35+60+45+75
Step-by-step explanation:
Its 505
PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
Learn more about triangles here:
https://brainly.com/question/2269348
#SPJ1
On your way to a tournament, you meet six knights, each accomplished by six squires. Each squire leads two horses by reins, and on each horse are seated two young children. How many people and animals are going to the tournament?
Answer:
72
Step-by-step explanation:
Answer: 12 animals 36 people , in total 48 its so easy just adding and multiplying :)
Step-by-step explanation:6 knights 6 squires =12, then animals human people 6 time animals 2 is 12 animals then more humans 2 times 12 the horses is 24 in total add up humans 24+12=36 and animals is 12 so 36 people, and 12 animals in total 36+12 is 48
Please help!! 155 questions 2 hours in I need help!
Answer:
the first one And the first one only
Step-by-step explanation:
supplementary angles are angles that add up to 180.
Hope this helps! :)
23
Hot dogs are sold in packages of 12. Buns are sold in packages of 8. What is
the least number of packages of buns you would have to buy if you want to
purchase an equal number of hot dogs and buns?
А 3
B 4
C5
D 6
Answer:
A) 3
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
24 = 24
At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?
Answer:
-5°C
Step-by-step explanation:
Let T1 be the temperature at the start of the experiment.
We know, T1 = 10°C
Rate of decrease in temperature = 3°C per minute.
Total temperature decreased after 5 minutes (T2) = (3*5)°C
= 15°C
The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C
Find the area of each triangle b= 12.4cm. h= 18 cm
[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]
The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.
The area, in square inches, of the entire trapezoidal rear window is 882 square inches.
What is the area of the entire trapezoidal rear window?
A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Area of a trapezoid = 0.5 x (36 + 48) x 21 = 882
To learn more about trapezoids, please check: https://brainly.com/question/25748893
ASAP Please i need this done in the next 20 minutes
cos^2B-sin^2B=3cosB+1
the answer is "Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified"
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.
Answer:
14,464
Step-by-step explanation:
16,000 - 20% = 12,800
12,800 + 13% = 14,464
I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)
A teacher puts five packages of craft paper into a cabinet each package has 80 sheets of paper what is the total number of sheets of craft paper that the teacher put into the cabinet and wears a.40 b.85 c.400 d.450
Answer:
C
Step-by-step explanation:
If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400
Answer:
1 package contain 80 sheets of paper.
If there is 5 packages, there will be 'x' sheets of paper.
We replace the sheets of paper with 'x', because the value of x is unknown.
Now we set up the equation:
Sheets 80 x__________ _________ = _________, solve for x;
Packages 1 580/1 = x/5
*5 *5
400 = x
The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?
A. 1. 1v
B. V - 0. 1v
C. 0. 1v
D. V - 0. 1
E. V + 0. 1
F. V - 0. 9v
Answer:
d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,lueUse substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y
Answer:
[tex]\huge\boxed{\sf y = 4 }[/tex]
Step-by-step explanation:
Given Equations:
x = 3 --------------------(1)
x + y = 7 ---------------(2)
Step 1: Substitute Eq. (1) in (2)
3 + y = 7
Step 2: Subtract 3 to both sides
y = 7 - 3
y = 4
[tex]\rule[225]{225}{2}[/tex]
Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME
Answer:
8.5
Step-by-step explanation:
7.5 + 8.5 = 16
Which value for x makes this inequality true?
−5>x
This inequality says the following:-
-5>x
negative 5 is greater than x, which means x is less than -5:
x<-5
Now, Which values make this inequality true?
Since x is less than -5, then numbers less than -5 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
I do not understand this
Answer:
D. 2 (1/3) hours
Step-by-step explanation:
'Of' means multiplication, so we are going to multiply
3 (1/2) x (2/3) = 2 (1/3)
or
3.5 x 0.66 = 2.333
I hope this helps!
1035 divided by 23 hun
Answer:
45
Step-by-step explanation:
A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm².
What is the volume of the compartment?
Enter your answer as a decimal in the box.
cm³
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a hexagonal prism = area of base * height
Hence:
Volume = 7.35 cm² * 4 cm = 29.4 cm³
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
Find out more on volume at: https://brainly.com/question/1972490
Answer:
The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^
Step-by-step explanation:
I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3
I neeed helpppppppppppppppppppp
Answer:
1: 1; 3: 4; 5: 3
Step-by-step explanation:
when you have a negative exponent it basically is the regular exponent but the number is put over one
so 2^-2 is 1/2^2 which is 1/4
1/4 * 4 is 1
then for three
you have
(1/2)^-1
when the number is a fraction and you have a negative exponent you can put the number on the top
so this is 2
2 * 2 is 4
for the last one
anything times 0 is 1
this means that the answer is 3
Answer:
1. 1
3. 4
5. 3
Step-by-step explanation:
3.y= 2 (1/2)^x where x= -2
1/2=2^-1
(2^-1)^-1
-1×-1
=1
=2^1
2 (2)
=4
1. y=4 (2)^x
2^-2
1/2^2
=1/4
=4×1/4
=1
5.y=3 (1/3)^X
1/3=3^-1
(3^-1)^0
3^0
=1
3(1)
=3
What is the probability of both coins landing on heads?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
and with the fractions and then divide the answer by 2.1
Step-by-step explanation: