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Find the probability that a
randomly
selected point within the circle falls
in the red shaded area.
60°
60°
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
Answers
Answer: 33.3%
s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!
The probability that a randomly selected point within the circle falls
in the red shaded area will be 33.33%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that the shaded red sector has an angle of 60 degrees and the radius of the circle is 4 cm. The probability will be calculated as:-
The formula for a circle's sector's area is (Ф/360°) x π(r²), where r is the circle's radius and is the sector's angle.
Area of shaded region = (Ф/360°) x π(r²),
Area of shaded region = ( 60 / 360 ) x π (4²)
Area of shaded region = 8.377 square cm
Total shaded area = 2 x 8. 377 = 16.75 square cm
Total area of circle = π (4²) = 50.265 square cm
The probability is calculated by the formula below:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 8.377
Number of sample = 50.265 square cm
Probability = 8.377 / 50.265 = 0.3333 = 33.33%
Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area will be 33.33%.
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Related Questions
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answers
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
Please help I'll give brainliest
Answers
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
p=. RS. 200, R= 6%per six months. T= 3years
Answers
Answer:
36
Step-by-step explanation:
200×3×6/100 =36.is the ans
Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18
Answers
Answer:
The answer is C, x = 7.
Step-by-step explanation:
3x + 7 = 28
-7. -7
3x = 21
/3. /3
x = 7
Maria needs to be at the airport terminal at 18:45. It will take 2 3/4 hours to drive to the airport from her home, and a further 40 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answers
Answer:
18:45
Step-by-step explanation:
Solve for x: wx-x=d
w does not equal 1
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
Answer:
x=w/1+yz
Step-by-step explanation:
Hope this helped!
Evaluate r^2−s^2, when r=12 and s=5.
Answers
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]
Which expression is equivalent to xy^2/9?
Answers
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
The denominator of a fractional exponent becomes the index of the radical when the power is written using a radical. The fractional power only applies to the y-factor, so that is all that is under the radical.
[tex]\displaystyle xy^{\frac{2}{9}}=x\cdot (y^2)^{\frac{1}{9}}=\boxed{x\sqrt[9]{y^2}}[/tex]
Can someone help me?
Answers
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?
Answers
Answer:
You need 14 19/24 inches of fabric
Step-by-step explanation:
We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.
3 x 8 = 24, so we multiply the numerator and denominator by 8 and 6 2/3 becomes 6 16/24ths
2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24
8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.
Now we are adding 6 16/24 + 4 12/24 + 3 15/24
6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24
= 13 + 43/24 = 14 19/24
Please lmk if you have questions.
Solve this question for brainlest
Answers
Answer:
multiply is your answer
mark brainliest please :D
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answers
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
solve the equation
3b/7 -1 = 5
Answers
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
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Convert 80 liters into gallons. Round your answer to the nearest tenth.
Answers
Answer:
21.13 US gallons
Step-by-step explanation:
. _ .
Answer:
21.1338 rounded to the nearest tenth is 21.10
Step-by-step explanation:
William says that 15years from now his age will be 3 times his age 5 years ago if x represents williams present age complete the following sentences
Answers
Answer:
Is the question complete
The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???
Answers
9514 1404 393
Answer:
False
Step-by-step explanation:
The minimum value is -2.
Help please will mark brainliest
Answers
Answer:
9.9
Step-by-step explanation:
4.8 x 2 = 9.6
29.5 - 9.6 = 19.9
19.9/2 = 9.95
round up
9.9
Answer:
10 I think
Step-by-step explanation:
Solve the equation. Find all real solutions.
9r3 - 144r = 0
Answers
Answer:
r=0
Step-by-step explanation:
9r x 3 - 144r = 0
27r-144r=0
-117r=0
r=0
Dawn is baking an Apple pie she has a European recipe that calls for 1500 decigrams of sugar. how many cups of sugar will she need?
Answers
Answer:
she needs exactly 3 cups
Step-by-step explanation:
Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!
Answers
Answer:
A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]
B) approximately [tex]18.79[/tex]
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is [tex]leg^2 + leg^2 = hypotenuse^2[/tex]
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].
[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]Hope you do well on the rest of your math problems :D
Imagine looking for a certain angle whose cosine is positive and whose sine is negative.
Part 1: Name the two quadrants in which cosine is positive.
Part 2: Name the quadrants in which sine is negative.
Part 3: Use the information in parts a and b to identify the quadrant in which cosine is positive and sine is negative.
Part 4: Write down one angle, in degrees, that has a negative sine and a positive cosine.
Part 5: Using your calculator, confirm your choice by writing the cosine of your angle and the sine of your angle below.
Answers
The two quadrants in which cosine is positive are the first quadrant (Q1) and the fourth quadrant (Q4).
How to explain the informationPart 2: The quadrants in which sine is negative are the third quadrant (Q3) and the fourth quadrant (Q4).
Part 3: Based on the information from parts 1 and 2, the quadrant in which cosine is positive and sine is negative is the fourth quadrant (Q4).
Part 4: One angle that has a negative sine and a positive cosine in the fourth quadrant is 135 degrees (or 3π/4 radians).
Part 5: Using a calculator, we can confirm the values of cosine and sine for 135 degrees:
Cosine of 135 degrees: cos(135°) ≈ -0.7071 (rounded to four decimal places)
Sine of 135 degrees: sin(135°) ≈ -0.7071 (rounded to four decimal places)
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The amount of revenue for a business can be modeled by the function
H(t) = 8400(3)2. Write an equivalent function of the form H(t) = ab'.
Answers
Answer:
Step-by-step explanation:
Which number completes the inequality? 2/3
Answers
Answer: it’s 3/4
Step-by-step explanation: you have to make the Denominator equal for all of them In order to be able to compare. So if you make the denominator equal to 36 you then have to multiply the numerator by the same number you did for the denominator. Once doing that you will find that 24/36 < 27/36 < 28/36
Plz brainliest.
1/6 students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students. How many students are wearing shirts that arent blue or white?
Answers
Answer:
6 students are wearing shirts that aren't blue or white
Step-by-step explanation:
1/6 + 2/3 = 5/6
5/6 are wearing either blue or white so 1/6 isn't wearing blue or white
there are 36 student and 1/6 means 36 divided by 6
36 divided by 6 = 6
Which point represents the opposite of —5 on the number line?
Answers
Answer:
5 :)
Step-by-step explanation:
someone please help me answer this!!
Answers
Answer:
7.8 mi is the answer.
Step-by-step explanation:
a = 6 mi
b = 5 mi
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 5² = c²
36 + 25 = c²
c² = 61
c = 7.810
Round to the nearest tenth,
c = 7.8 mi
Which expressions below are equivalent to 5 + 4(x - 7)? Select all that apply. A. 5 + 4x + 28 B. 4x - 28 + 5 C. 4x - 23 D. 9x - 28
Answers
Answer:
C
Step-by-step explanation:
you have to multiply 4 by x-7 thats equal to 4x - 28 then you have to substract 5 to 28 thats equal to 23 so the answer is 4x -23
Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?
Answers
Answer:
4.2%
Step-by-step explanation:
Take home pay is equal to
Answers
Answer:
gross income - ( required deductions + optional deductions )
Please help with this
Answers
9514 1404 393
Answer:
15.4 square feet
Step-by-step explanation:
The area of the painting will be the area of the sketch multiplied by the square of the ratio of linear dimensions.
painting area = (0.24 square feet)(8^2) = 15.36 square feet
The area of the painting is about 15.4 square feet.