Circle A has a radius of 12 in., m( arc BC )=π/6, m( arc CD ) = π/4. What is the area of the sector with the central angle ∠BAD?
Answers
Answer:
Area of the sector = 94.25 in²
Step-by-step explanation:
From the picture attached,
Length of the radius of the circle = 12 in.
m(arc BC) = [tex]\frac{\pi }{6}[/tex]
m(arc CD) = [tex]\frac{\pi }{4}[/tex]
Therefore, m(arc BD) = m(arc BC) + m(arc CD)
m(arc BD) = [tex]\frac{\pi }{6}+\frac{\pi }{4}[/tex]
= [tex]\frac{5\pi }{12}[/tex]
Since, area of a sector with central angle 'θ' is given by,
Area of the sector = [tex]\frac{\theta}{2\pi }(\pi r^2)[/tex]
By substituting the measures in the given formula,
Area of sector BAD = [tex]\frac{\frac{5\pi }{12}}{2\pi }(\pi )(12)^2[/tex]
= [tex]\frac{5}{24}(\pi )(144)[/tex]
= [tex]30\pi[/tex]
= 94.25 in²
Related Questions
Which is greater |-2| or-2
Answers
To Find :
Which is the greater |-2| or -2 .
Solution :
Value of |x| for any value of x ( real number ) is always positive .
[tex]|x| = \left \{ {x , \ for \ x >= 0 \atop { -x, \ for \ x < 0 }} \right.[/tex]
So, |-2| = 2 > -2
Therefore, the value of |-2| is greater than -2 .
Hence, this is the required solution.
Length = 9 in ; width = 7 in ; height 5 in
What’s the volume?
NEED NOW!
Answers
Explanation- v = l * w * h so 9 * 7 * 5
Please help me I don't understand. If you explain it too it would really help.
Answers
Answer:
12 square feet
Step-by-step explanation:
To find the area of a triangle you have to multiply the base and height and divide it by two
6 * 4 = 24
24 / 2 = 12
Answer:
12sq.ft
Step-by-step explanation:
Area of∆=1/2x base x height
=1/2 x4 x6
=1/2 x 24
=12
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO
PLEASE HELP ME I AM BEING TIMED, I WILL MARK THE BRAINLIEST TO WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS!
Answers
Answer:
a)9
Step-by-step explanation:
i dont know what b is sorry
Answer: (a) = The gcf of 63 and 36 is 9. (b) = 9 x (7 - 4)
Step-by-step explanation:
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 14 ft?
Answers
Answer:
[tex]196\pi[/tex]
Step-by-step explanation:
The question wants you to find the area of a circle with a radius of 14.
The formula for the area of a circle is:
[tex]\pi r^2[/tex] where r is the radius
Plug in r=14
[tex]14^2\pi[/tex]
Simplify
[tex]196\pi[/tex]
he small ball inside the cubed display case has a volume of 8 cubic inches. If the free space inside the display case is 208 cubic inches, then how tall is the display case?
6 inches
8 inches
10 inches
9 inches
Answers
Answer:
6 inches
Step-by-step explanation:
Step 1
Find the volume of the display case
From the above question:
Volume of the small ball = 8 inches
Volume of the free space inside the display case = 208 cubic inches
Volume of the display case = Volume of small ball + Volume of free space
= 8 cubic inches + 208 cubic inches
= 216 cubic Inches
Step 2
How tall is the display case?
The display case is shaped like a square. Hence,
The length of the display case = cube root (Volume of the display case)
= cube root(216 cubic inches)
= 6 inches
Therefore, the length of the cubic display case = 6 inches
Answer:
If the free space inside the display case is 208 cubic inches, then the display case is 6inches tall.
A bag contains 4 blue and 6 green marbles. Two marbles are selected at random from the bag. find each of the following probabilities round your answer two decimals if needed
Answers
Answer
40% and 60% then decimal form
At a high school, 9 students volunteer for a committee. How many different 4 -person committees can be chosen?
Answers
Answer:
126 ways
Step-by-step explanation:
Total number of persons = 9
Number of commitees to be chosen = 4
Since, there is no order in the selection process, we use combination.
Choosing a committee of 4 from 9 will be :
9C4.
Recall :
nCr = n! / (n-r)!r!
9C4 = 9! / 5!4!
9C4 = (9*8*7*6) / (4*3*2*1) = 3024 / 24 = 126 ways
A charter bus service charges a flat fee of $150, plus $3.50 per mile (one way distance) for a bus. If the band paid exactly $2050 for TWO buses, how far did the band travel?
Answers
Answer:
Number of miles= 250
Step-by-step explanation:
Giving the following information:
Fixed cost= $150
Unitary cost per mile= $3.5
Total cost= $2,050
First, we will establish the total cost formula for ONE bus:
Total cost= 150 + 3.5x
x= number of miles
For two buses:
Total cost= 150*2 + (3.5*2)x
Total cost= 300 + 7x
Replacing the total cost information:
2,050= 300 + 7x
1,750/7 = x
250 =
Number of miles= 250
what is lm in the triangle at the right
Answers
There is no file attached it is blank can’t help you if I can’t see what i am suppose to be doing
Rewrite the expression as an exponent with a base of x: (x^6)^4
Answers
Answer:
it´s good
Step-by-step explanation:
Flo Rida currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 a dozen to raise money.
Answers
Answer:
8 dozen
Step-by-step explanation:
Which statements are true about the following regular polygon? Check all that apply.
A polygon with 6 sides.
All of the interior angles are acute.
All of the interior angles are obtuse.
The sum of the interior angles is 720°.
The polygon can be divided into three triangles.
Each interior angle measures 120°.
The sum of two interior angles have the same measure as a straight angle.
Answers
Answer: B,C, and E 100% on edge 2021
Step-by-step explanation:
sorry for the delayed response xx. Goodluck everyone on your finals.
I need an answer immediately!!!!!!!
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
_______________
find the volume of the figure below for A, B, C
Answers
Answer:
a is .... 50
b is .... 63
c is .... 24
Step-by-step explanation:
formula LxWxH
a.
5*2=10
10*5=50
b.
7*3=21
21*3=63
c.
4*3=12
12*2=24
Ellie is renting a paddle boat. The boat rents for a 5 plus 3.50 per hour. She wants to spend under $30 altogether Write an inequality to determine how long she can rent the paddle boat
Answers
Ellie wants to spend less than 30, so it’ll be less than.
PLEASE CHECK THE SCREEN SHOT
Answers
Answer:
x=8
y=10
z=9
Step-by-step explanation:
Trigonometric sequence !! 40Pts!!!!!!!!!!
Answers
Step-by-step explanation:
i think the answer is 63.5
Answer:
I agree it is 63.5 Fahrenheit
Step-by-step explanation:
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Answers
Answer:
(8,-1)
Step-by-step explanation:
The point of intersection can be found out by solving the system of equations.
x + 3y = 5
3x - 2y = 26
Multiply (1) by 3 :-
→ 3 ( x + 3y ) = 5 × 3
→ 3x + 9y = 15
Subtracting 3(1) and 2 :-
→ 3x + 9y - 3x +2y = 15 - 26
→ 11y = -11
→ y = (-1)
Put it in 1 :-
→ x -3 = 5
→ x = 3 + 5
→ x = 8
Hence the point of intersection is (8,-1)Yo fam I really need help with this. Its like parametric equations or smt and I really don't understand. Please include work, I'll give brainliest to any answer with work.
Answers
Ravi borrows $950 from his parents with a simple interest rate of %5. If it takes him 2 years to pay back the money, how much interest will he owe?
Answers
Answer:
he will owe $1,047 in total and $97.37 in interest
a triangle having no side congruent is called
Answers
Answer:
A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.
Step-by-step explanation:
A triangle having no side congruent is called is called Scalene triangle.
We have a triangle having no side congruent.
We have to identify the name of this triangle.
What is a Triangle ?A triangle is a plane figure with three straight sides and three angles.
According to question, we have -
A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.
Hence, a triangle having no side congruent is called is called Scalene triangle.
To solve more questions on Scalene triangle , visit the link below -
https://brainly.com/question/10651823
#SPJ6
I've had to repost this question like 4 times because ppl put fake answers, pls put the answer if u know it and dont lie
Answers
Answer:
189.05 ft^3
Step-by-step explanation:
I think this is the right answer but I'm not 100% sure.
So first, you need to find the area of the rectangular prism. 5*5=25, and there are 5 of these rectangles (4 sides and the bottom), so the total is 125 ft^3. I don't think you would include the area of the top, as the top is not flat, and has a pyramid on it.
To find the area of the pyramid, there is a somewhat complicated and long equation that I can't write here, but you can look up the formula for the area of a square pyramid.
The area of the pyramid is around 64.05 ft^3. 125+64.05=189.0500 rounded to the nearest hundredth is 189.05 ft^3.
The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already have $1,210. What inequality can you enter to find the amount each member must raise, on average, to meet the goal?.
Answers
Answer:
x=44x(6,000)x1,210
Step-by-step explanation:
Carlos bought 6.5 pounds of bananas for $5.20. What is the price per pound of the bananas that Carlos bought?
What quantity of bananas would one dollar buy?
Answers
Answer:
Quantity of banana purchase in $1 = 0.8 pound
Step-by-step explanation:
Given:
Cost of 6.5 pound of banana = $5.2
Find:
Price of one pound banana
Quantity of banana purchase in $1
Computation:
Price of one pound banana = 6.5 / 5.2
Price of one pound banana = $1.25
Cost of one pound banana is $1.25
Quantity of banana purchase in $1 = 1 pound / 1.25 dollar
Quantity of banana purchase in $1 = 0.8 pound
which quadrilateral has diagonals that are congruent but do not bisect each other
Answers
Hope this helps!
A cylinder-shaped barrel has a diameter of 8 feet and a height of 7 feet. If the barrel is empty, which is closest to the minimum amount of water needed to completely fill the barrel?
Answers
Answer: [tex]351.9\ ft^3[/tex]
Step-by-step explanation:
Given
The dimater of cylinder is [tex]d=8 \ft[/tex]
The height of the cylinder is [tex]h=7\ ft[/tex]
To fill the barrel, it must be filled with a volume equal to its volume i.e.
[tex]\Rightarrow V=\pi r^2h\\\Rightarrow V=\pi \cdot 4^2\times 7\\\Rightarrow V=112\pi\\\Rightarrow V=351.9\ ft^3[/tex]
Thus, [tex]351.9\ ft^3[/tex] of water is required to completely fill the barrel.
Find the area of the figure and choose the appropriate result
Answers
Answer:
41.7
Step-by-step explanation:
A = 6*4 = 24
B = 3.5 * (3.8-2) = 6.3
C = 3*3.8 = 11.4
A + B + C = 41.7
Hello could someone answer this? Thank you!
Answers
Step-by-step explanation:
m arc AD = (2×108) - 142 = 216-142= 74°
m<A = 180-108= 72°
Pls i need help on these I HAVE BEEN STUCK
Answers
Answer:
C for Question 3
B for Question 4