Answers
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
Related Questions
I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)
Answers
Answer:
Step-by-step explanation:
(a) 2x + 4 (x - 1) = 2 + 4x
2x +4x - 4 = 2 + 4x
6x -4 = 2 + 4x
2x = 6
x = 3 One solution
(b) 25 - x = 15 - (3x + 10)
25 - x = 15 - 3x - 10
2x = 15 - 25 - 10
2x = -20
x = -10 One solution
(c) 4x = 2x + 2x + 5 (x - x)
4x = 4x + 5x - 5x
0 = 0
No solutions
The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels and spent $9.00 on beverages. At the next meeting they bought 8 bagels and spent $8.20 on beverages. What was the cost of each bagel?
Answers
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.
Answers
Answer:
kk
Step-by-step explanation:
Simplify: [tex]-\sqrt{16x^2}[/tex] if x<0
Answers
Answer:
[tex]$-4x$[/tex]
Step-by-step explanation:
First, let us write this equation into an easier one. We have:
[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]
The exponents cancel out with the square root, so we have:
[tex]-4x[/tex]
as our answer.
HOPE IT HELPS :D
Han and Priya were making a kite. Han cut out a piece of fabric so
that there were 2 short sides of the same length on top and
2 long sides of the same length on the bottom. Priya cut 2 pieces
of wood to go across the diagonals of the kite. They attached the
wood like this:
Han asked Priya to measure the angle to make sure the pieces of
wood were perpendicular. Priya said, "If we were careful about
the lengths of the sides of the fabric, we don't need to measure
the angle. It has to be a right angle."
Complete Priya's explanation to Han.
Answers
A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.
Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.
A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.
The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.
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The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Since Priya said to Han that "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."
Priya used the properties of a kite.
Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.
So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.
So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Learn more about kites here:
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What is the slope of the line shown in the graph?
Answers
Answer:
-3/2
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER
Answers
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
Ari needs to mix 3 tablespoons of dish soap with 6 tablespoons of vinegar to make a cleaning solution. How many tablespoons of vinegar are needed for each tablespoon of dish soap?
Answers
Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar
Step-by-step explanation:
Answer:
1 tablespoon of dat soap to 2 table spoons of dat vinegar.
Step-by-step explanation:
So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6 twice. So, 1 tablespoon of dish soap is it 2 table spoons of vinegar.
another way to look at it:
1tbs dish soap = 2tbs vinegar
2tbs dish soap = 4tbs vinegar
3tbs dish soap = 6tbs vinegar
what is the interest $5,200 at 4% for 3 years
Answers
Answer:
$624
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
I =5200x.04x3
I=624
how many sides does a regular polygon have if each of its interior angles is 170
Answers
Answer:
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answers
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
c. 81x^2 -4y^2
Step-by-step explanation:
Area of full square - area of white square.
10. Shown here is the graph of which inequality?
Answers
Answer:
B) 3x +2y >= 6
Step-by-step explanation:
Find the area of a circle with diameter, d = 2m.
Give your answer in terms of pi
Answers
Answer:
A = π m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here d = 2 , then r = 2 ÷ 2 = 1
A = π × 1² = π × 1 = π m²
Determine the intervals of the domain over which the function is continuous.
A) (-infinity,0]
B) [0,infinity)
C) (-infinity, infinity)
D) (0,infinity)
Answers
The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).
A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.
we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
So the the intervals of the domain over which the function is continuous is (-infinity, infinity) .
To learn more about Intervals
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Which equation represent this statement?
5 less than twice a number is 3
2n - 5 = 3
2n - 3 = 5
5 - 2n = 3
3 - 2n = 5
Answers
Twice a number is 2 * n
5 less is subtracting 5
Making the statement 2n - 5 = 3
Answer: It was 2n-5=3 The other guy was right
Step-by-step explanation: I took the K12 test.
Please help me solve this ASAP!
Answers
Answer:
Translation 2 units up and 4 units to the left.
Given that I = PTR/ 100 , make T the subject of the formula.
Answers
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
x ≈ 54.5°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )
(21x)-(-16+7x) Subtract.
Answers
Answer:
=14x+16
Step-by-step explanation:
21x−(−16+7x)
=21x+−1(−16+7x)
=21x+(−1)(−16)+−1(7x)
=21x+16+−7x
=21x+16+−7x
=(21x+−7x)+(16)
=14x+16
Answer:
14x+16
Step-by-step explanation:
(21x)-(-16+7x)
Distribute the minus sign
21x+16-7x
Combine like terms
14x+16
SUPER EASY! FRACTIONS PLS HELP!
a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.
1.what is the fraction of green crayons to the total number of crayons written in simplest form
2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form
3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?
Answers
Answer:
1: 1/3
2: 3/19
3: 7/3
Step-by-step explanation:
Which equation gives the line shown on the graph?
Answers
Answer:
[tex]y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
so the last option
hope this helps!
Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!
Answers
Step-by-step explanation:
Where's the picture?
Add this first
Answer:
wait we're is the picture?
Given the function [tex]f(x)=x^2-2x-5[/tex] , determine the average rate of change of the function over the interval [tex]-5\leq x\leq 6[/tex]
PLEASE HELP ASAPP
Answers
Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, 6 ] , then
f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19
f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30
Then
average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
How many kilograms would the Beagle be?
33 kg
5 kg
15 kg
8 kg
WILL MARK BRAINLY NO BOTS
Answers
Answer:
I think it would be 15 kg I'm not sure
what is the answer to
−1+8(−3+9)
Answers
Answer:42
Step-by-step explanation:
please help. 15 points and brainliest if correct!
Answers
Answer:
2 and 3
Step-by-step explanation:
hope this helps!❄︎
pleaseeeeeeeeee helppppppppp meeeeeeeeeee
Answers
Answers:
FunctionNot a functionFunctionNot a function========================================
Explanation:
If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).
Relations 1 and 3 don't have this issue, so they are functions.
Shannon ran the race slower than Patti but faster than Phan. What might her time be?
Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332
Answers
Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:
[tex]7.1 < t < 7.7[/tex]
An inequality is said to be compounded if it includes two terms, for example:[tex]a < x < b[/tex]
Which has the following interpretation: x is more than a and x is less than b.In this problem:
Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.Then, the inequality is:
[tex]7.1 < t < 7.7[/tex]
A similar problem is given at https://brainly.com/question/24528399
Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,
Answers
2(x +2 )
This is the number
Brandon enters bike races. He bikes 8 1/2 miles every 1/2 hour. complete a table to find how far Brandon bikes for each time interval.
Plz help
I will give you 20 points
Answers
17 miles = 1 hour
25.5 miles = 1 1/2 hour
34 miles = 2 hours
42.5 miles = 2 1/2 hours
You should’ve known how to do this in the first place cuz how easy this was. You just follow a linear sequence