Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.
What is the probability that the sequence is guessed on the first try?
StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third
Answer:
1/24
Step-by-step explanation:
i just took it
The probability that the sequence is guessed on the first try is 1/24.
ProbabilityTotal colors available for making code=4
Colors required for making code=3
Hence:
Total ways of making code=4p3=4!/(4-3)!
=4×3×2×1/1
=24
Probability that the sequence is guessed on the first try=1/Total ways of making code
Probability that the sequence is guessed on the first try=1/24
Therefore the correct option is A.
Learn more about probability here:https://brainly.com/question/24756209
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Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.
Answer:
3.3 cm
Step-by-step explanation:
Volume of a rectangular prism =Length X Width X Height
Volume of the cake batter [tex]=1848cm^3[/tex]
The cake pan is a right rectangular prism 20cm wide by 28cm long.
Therefore:
1848=20 X 28 X Depth
1848=560 X Depth
Depth=1848/560
Depth of the batter=3.3 cm
The batter is 3.3cm deep in the pan.
How many hundredths are in one tenth? Explain using pennies and dimes.
Answer:
11 ways
100 Pennies & 0 Dimes
90 Pennies & 1 Dimes
80 Pennies & 2 Dimes
70 Pennies & 3 Dimes
60 Pennies & 4 Dimes
50 Pennies & 5 Dimes
40 Pennies & 6 Dimes
30 Pennies & 7 Dimes
Step-by-step explanation:
Which of theses numbers are prime
7,42,65,87,95
Answer:
7
Step-by-step explanation:
7 is a prime number. hope this helps!! moo!
last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days
work out the percent reduction
Answer:
30%
Step-by-step explanation:
this week:
4 × 7 = 28 hours
earns: 28 × 11 = £308
reduction: 440 - 308 = 132
% reduction
132/440 × 100
30%
Find the vertex of the parabola. Write your answer as an ordered pair.
y equals 2 x squared plus 3
Answer:
(0,3)
Step-by-step explanation:
When X=0, Y=3
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip
Step-by-step explanation:
In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100
Answer:
The probability is 9/100
Step-by-step explanation:
First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students
The number of students without brown eyes is thus 20 -14 = 6 students
Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10
Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.
In probability, once we have the work and, we multiply.
So our answer here is 3/10 * 3/10 = 9/100
1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
will be a girl is 1/2, what is the probability that a person who has 5 grandchildren will have exactly 4
granddaughters? Is this case unusual? Explain.
2 To be on the safe side three detectors were installed in a facton moon
Answer:
6.25%
Step-by-step explanation:
To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:
(1/2) ^ 4 = 0.0625
that is, the probability that 4 girls are born is 6.25%
an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual
Can somebody help me with this question. I need to choose one answer.
We are trying to find H.
8+h/10=1
Both sides have to equal 1.
So if we input h=2, then 8+2=10.
10/10=1
1=1
The answer will be B, h=2.
I hope this helps! :)
Answer:
the answer is B
Step-by-step explanation:
8+2=10 and 10/10=1
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
Answer:
32/3 x pi or 32/51 rounded to the nearest hundredths
Step-by-step explanation:
4/3 x r^3 x pi
=32/3 x pi
Answer:
Step-by-step explanation:
volume of the sphere fomular = [tex]\frac{4}{3} * \pi *r^{2}[/tex]
The diameter of a sphere is 4 centimeters -> radius = r = 2 cm
-> volumn = [tex]\frac{4}{3} *\pi *2^{2}[/tex]
= 16.7466666 cm3
Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa
Answer:
Don’t really know what the question is, but these are the answers for x
plzzzzzzzzzzzzzaaaaaa
Answer:
C
Step-by-step explanation:
[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]
Therefore, the answer is C. Hope this helps!
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3
Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework
Answer:
probability of recovering exactly 3 pages of homework = 35/286
Step-by-step explanation:
She carries seven pages of math homework and six pages of English.
Thus, total pages = 7 + 6 = 13 pages.
Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.
There are a total of 7 pages of maths homework from the question.
Thus,
First page = 7/13
Second page = 6/12
Third page = 5/11
So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286
Which of the following probabilities is the greatest for a standard normal distribution?
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
Answer: it’s actually b for edge 2020
Step-by-step explanation:
The probabilities greatest for a standard normal distribution is
P(-0.5 SZ30.5) i.e. 38.2%
What is a standard normal Distribution ?A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .
For the data given in the question
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]
From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).
To know more about standard normal Distribution
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Solve for the height (h) of this triangular prism if the volume is 1080. The
volume of a triangular prism is V = (B)(h), where B is the area of the
triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL
BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE
FOR THE TRIANGULAR PRISM. *
h
15
8
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
7/16 maybe
...............
Answer:
7/16
Step-by-step explanation:
the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry is 7/16
Correct answers only please!
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 6.30
Step-by-step explanation:
A = P + I where
P (principal) = $ 6.00
I (interest) = $ 0.30
A = P(1 + r/n)nt
help me write in scientific notation <3
5,540,000,000 = ____________
0.000025409 = ____________
Answer:
<3 I want brainliest!!!
Step-by-step explanation:
1) 5.54 x 10^9
2) 2.5409 x 10^-5
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
Is -20.33 rational or irrational?
Answer:
No it is irrational (looked at it wrong)
A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
what is the voulme of a cube with the side length of 5
Answer:
This is the correct answer
Step-by-step explanation:
The V = 125
does any of yall know the answer to this shat?
Answer:
s=2
Step-by-step explanation:
subtract 21 from both sides= -3s=-6
divide by -3 to get s alone
s=2
s = 2
Step-by-step explanation:
subtract 21 to both sides
-3s= -6
then divide by -3 both sides to isolate s variable
s= 2
Frankie was practicing for a 5 kilometer race his normal time is 31 minutes and 24 seconds but yesterday he took 29 minutes and 50 seconds how much time came of his normal time
Answer: 1 minute 34 seconds
Step-by-step explanation:
From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:
31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds
