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Complete Question
If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches
Answer:
d. 39.3 inches
Step-by-step explanation:
We are to find the Arc length of the circle
To solve the above question, the formula is given as:
Arc length = Central angle × radius
From the above Question, we are given:
Central angle = 5pi/6 = 5π/6
Radius = 15 inches
Hence,
Arc length = 5π/6 × 15 inches
Arc length = 235.61944901923448/ 6
Arc length = 39.26990817 inches
Approximately , the Arc length
= 39.3 inches.
Therefore, Option d is the correct answer.
Solve the inequality 2x + 9 > 19 - 8x
x> 1
i hope it helps you ❤️❤️❤️
A chess club with 45 members is electing a new president. Bob received 18 votes. What percentage of the club members voted for Bob?
Given:
A chess club with 45 members is electing a new president.
Bob received 18 votes.
To find:
The percentage of the club members who voted for Bob.
Solution:
We have,
Total number of members = 45
Votes received by bob = 18
Now, the percentage of the club members who voted for Bob is
[tex]\%=\dfrac{\text{Number of members voted for bob}}{\text{Total members}}\times 100[/tex]
[tex]\%=\dfrac{18}{45}\times 100[/tex]
[tex]\%=\dfrac{2}{5}\times 100[/tex]
[tex]\%=\dfrac{200}{5}[/tex]
[tex]\%=40[/tex]
Therefore, 40% of the club members voted for Bob.
A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected. Find P(no donuts and no cinnamon rolls).
Out of 200 customers, the probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Use the concept of probability defined as:
For the occurrence of an event, it is a ratio of the number of favorable outcomes to the number of total outcomes.
Given that,
Time frame: 6 am to 10 am
Total number of customers: 200
Number of customers who ordered donuts: 140
Number of customers who ordered cinnamon rolls: 100
Number of customers who ordered both donuts and cinnamon rolls: 80
To find the probability of a customer ordering neither donuts nor cinnamon rolls:
Subtract the probability of a customer ordering either donuts or cinnamon rolls or both from 1.
Now calculate:
Probability of ordering donuts:
140 out of 200 customers ordered donuts,
The probability of ordering donuts is,
140/200 = 0.7.
Probability of ordering cinnamon rolls:
100 out of 200 customers ordered cinnamon rolls,
The probability of ordering cinnamon rolls is,
100/200 = 0.5.
Probability of ordering both donuts and cinnamon rolls:
80 out of 200 customers ordered both,
The probability of ordering both is,
80/200 = 0.4.
Now, to find the probability of a customer ordering neither donuts nor cinnamon rolls,
Subtract the probability of ordering either or both from 1:
P(no donuts & no cinnamon rolls) = [tex]1 - P( \text{donuts}) - P(\text{cinnamon rolls}) + P(\text{donuts & cinnamon rolls})[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)}= 1 - 0.7 - 0.5 + 0.4[/tex]
[tex]\text{P(no donuts & no cinnamon rolls)} = 0.2[/tex]
Hence,
The probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.
Learn more about the probability visit:
https://brainly.com/question/13604758
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Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?
Answer:
Step-by-step explanation:
(1-0.32)p=357
0.68p=357
p=$525
Answer:
471.24
Step-by-step explanation:
First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!
Plsss help me I’m trying to do this test
Answer:
(-3,2)
hope it helps.....
complete the equation of the line through (-8,-2) and (-4,6).
use exact numbers.
y= ?
Answer:hey
Step-by-step explanation:
The circumference of a circular garden is 28 feet. Which of the following expressions best represents the radius of the garden?
A. 28π28 over pi
B. 28(π)28 times pi
C. 282π28 over 2 pi
D. 28(2π)
Answer: The answer is ACTUALLY C
Step-by-step explanation:
REMEMBER: The radius is always half of the diameter.
So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...
SOLID PROOF:
In triangle XYZ, the measure of angle YXZ is 14.5*, and the measure of angle XYZ is 75. What is the measure of
angle XZY in degrees? (6.8A)
What is the value of x in the diagram?
(x + 45)
(x + 105)
if the addition if (X+45)° and (X+105)° equal 180°
due to they are a co- interior angles.
then X+45+X+105 = 180°
2X+150 = 180°
2X = 30
X = 15°
Helppppppppppppppppppppp
Answer:
3 bags
Step-by-step explanation:
Even though she will have extra she still will need 3 bags to get 12.
Answer:
3
Step-by-step explanation:
We know Ms.Smith is buying avocados and needs 12, we also are provided with the fact that she buys them in bags of 5.
If you take a look at the picture, we need to find a bag that fits 12 avocados in, this would be 3. As in 3 bags that contain 15 avocados in total, though excessive amount, this is the bag that she would need to benefit her the most.
What is the radius of this circle?
The radius of the circle is 3
what 2 numbers multiply to 77 and add to 18
Answer:
11 and 7
Step-by-step explanation:
11+7=18, and 11 x 7=77
Hope I helped!
Answer:
i think it is 11 and 7
Step-by-step explanation:
The quotient of a number and 2 is 3. Find the number.
Answer:
6
Step-by-step explanation:
6 divided by 2 is 3
negitive 17plus n over 5 =33 what is n
Answer:
250
Step-by-step explanation:
-17+n/5=33
n/5=33-(-17)
n/5=33+17
n/5=50
n=50*5
n=250
n=182
Step by Step Explanation:
The equation we would start out with is:
[tex] \frac{ - 17 + n}{5} = 33[/tex]
From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.
Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.
How much money will Adriano’s online business earn this month
2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)
PLSSS HELP MEE SHOW UR WORK!!
Answer:
(-3, 13)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -4x + 1
11y = x + 146
Step 2: Solve for x
Substitution
Substitute in y: 11(-4x + 1) = x + 146Distribute 11: -44x + 11 = x + 146[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x[Division Property of Equality] Divide 45 on both sides: -3 = xRewrite/Rearrange: x = -3Step 3: Solve for y
Define original equation: y = -4x + 1Substitute in x: y = -4(-3) + 1Multiply: y = 12 + 1Add: y = 13PLEASE HELP ME SOLVE THIS PROBLEM ASAP
Answer:
r = 1
Step-by-step explanation:
the graph of a fraction f is shown below
Answer:
f(3) = -2
One value of x for which f(x) = 2 is f( 1 )
hope this helps :)
solve for x and y pls
Can someone tell me how to solve -3x-4y=-2 and y=2x-5 in elimination form!!!!!
Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineapples sorbet for 9 people . workout how many pinapple she uses
A line passes through point (-8,-6) and has a slope of
5/2
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
Answer:
5x - 2y= -28
Step-by-step explanation:
Since the y= mx + b format would be: y= 5/2x + 14
Standard form is: 5x - 2y= -28
Katy inherited a savings account that was started by her grandfather 20 years ago. His investment can be modeled by the function
A(t) = 10,000(1.012)^t+ 20, where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function is
equivalent to A(t)?
A)
A(t) = 10,000(1.012)^20
B)
A(t) = 10,000[(1.012)^t]^20
C)
A(t) = 10,000(1.012)^t (1.012)^20
D)
A(t) = 10,000[(1.012)^t + (1.012)^20]
Divide. Write the answer in simplest form.
\frac{5}{6}\div4
6
5
÷4
Answer:
3/10
Step-by-step explanation:
question in photo! giving away master
Answer:
D.) -3
Step-by-step explanation:
N is greater than -4 and less than -2.
Therefore, -3 is N since it is between -4 and -2.
Which of the following makes the equation true?
b/4 = 16
F- 64
G- 4
H- 16
J- 8
The answer is H-16! Hope this helps! :-)
Answer:
F:64
Step-by-step explanation:
64 divided by 4 is 16.
what is 12% as a fraction in simplest form?
Answer:
10
Step-by-step explanation:
you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...
Warren made 5 pans of brownies. He will slice the brownies into pieces, and each piece will be 1/10 of the size of a pan. How many slices of brownies will Warren create? a. 10 b. 25 :c. 50. d. 100
Answer:
c
Step-by-step explanation:
If a piece is equal to 1/10 of a pan , a pan would make 10 brownies
5 pans would make , 10 x 5 = 50 brownies
Answer: c
Step-by-step explanation: each pan is 10 slices so if you multiply that with how many pans you have which is 5 and 5 x 10 = 50
Lines m and n are parallel. The measure of angle 6 is 55°.
What is the measure of angle 1?
35°
55°
125°
155°
Answer:155
Step-by-step explanation:
because they are parallel lines. If the angles differed even by 1°, eventually the lines would meet, therefore they would not be parallel.
Answer:
Firstly angle 6 and 2 are equal because of corresponding angles
so 6 = 2
Now angle 1 + 2 = 180 ( linear pair)
angle 1 = 180 - 55
1 = 125
hope it helps and your day will fine