Answer:
The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi. Leaving them with a infinte number 3.14159... and so on.
Step-by-step explanation:
Answer:
How was Pi discovered?
Here's a brief history of finding π. The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.
How is PI value calculated?
In some ways Pi (π) is a really straightforward number – calculating Pi simply involves taking any circle and dividing its circumference by its diameter. In fact if you search long enough within the digits of Pi (π) you can find any number, including your birthday.
Step-by-step explanation:
If the m<1 is 34 degrees and the m<2 is 75,what is the m<3?
What is the value of the missing angle? The options are: 129, 153, 169, and 720 degrees.
PLEASE HELP!!!!! I uploaded a picture to hope you can see.
Answer:
Value of x = 169°
Step-by-step explanation:
Given:
Number of side = 6
Angles = 151°, x°, 75°, 135°, 115°, 75°
Find:
Value of x
Computation:
Angle sum of Hexagon = 720°
So,
151° + x° + 75° + 135° + 115° + 75° = 720°
x° = 169°
Value of x = 169°
A box of cereal contains 725 grams of cereal. To make a bowl of cereal.r, grams of cereal is removed from the box What equation models the relationship between the quantity of cereal removed, r, and the quantity of the cereal in the box, b?
A: b = 725 - r
B: b = 725r
C: r= 725b
D: r = 725-b
Answer:
A.
Step-by-step explanation:
b=725-r
A total of 5.9 percent of the prime time viewing audience watched shows on ABC, 7.6 percent watched shows on CBS, 5.5 percent on Fox, 6.0 percent on NBC, 2.0 percent on Warner Brothers, and 2.2 percent on UPN. A total of 70.8 percent of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website:
Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.
Answer:
Step-by-step explanation:
Given the data :
ABC = 5.9%
CBS = 7.6%
FOX = 5.5%
NBC = 6.0%
Warner Brothers = 2%
UPN = 2.2%
Other Cable network = 70.8%
From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
Write an equation of the line through (-2, - 1) having slope
8/7?
Answer:
When slope and one point are known follow instructions on this page:
http://www.1728.org/distance.htm
Calculate "b" from this equation:
b = y -mx where "m" is the slope
We'll use the point given (-2, -1) for "x" and "y"
b = -1 -(8/7) * -2
b = -1 + 16/7
b = 9/7
then we enter "b" and the slope into this equation
y = 8/7x +9/7
y = 1.142857 x + 1.2857142857
Step-by-step explanation:
Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerline 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes.
a.
4.1 ft
b.
9.4 ft
c.
16.9 ft
d.
11.6 ft
Answer:
4.1 ft
Step-by-step explanation:
All we need to do is substitute "t" as 2 minutes to determine the height:
h = 10.6 + 6.5 sin(850*2),
Remove full rotations of 360 until the angle is between 0 and 360° :
h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)
Now evaluate sin(260) :
h = 10.6 - 6.40125... = 4.1987496
Your solution should be 4.1 ft (though it actually should be 4.2 ft)
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
25
plz mark brainliest
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
A Ferris wheel can accommodate 60 people in 20 minutes. How many people could ride the Ferris wheel in 2 hours ? What was that rate per hour?
Answer:
360 total
60×3×2=360
180 per hour
(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing
Answer:
a) Probability of ending up wearing 2 blue socks is 1/11.
b) Probability of ending up wearing no grey socks is 7/22.
c) Probability of ending up wearing at least 1 black sock is 5/11.
d) Probability of ending up wearing a green sock is 0.
e) Probability of ending up wearing matching socks is 19/66.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.
The explanation of the answer is now given as follows:
The following are given in the question:
n(B) = number of Blue socks = 4
n(G) = number of Gray socks = 5
n(K) = number of black socks = 3
Therefore, we have:
n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12
To calculate a probability, the following formula for calculating probability is used:
Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)
Since this is a without replacement probability, we can now proceed as follows:
a) 2 blue socks
P(B) = Probability of ending up wearing 2 blue socks = ?
Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3
Since it is without replacement, we have:
Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11
P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11
b) no gray socks.
Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7
P(No G) = Probability of ending up wearing no gray socks = ?
Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11
P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22
c) at least 1 black sock.
Probability of at least one black sock = 1 - P(No K)
Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9
Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11
P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11
Probability of at least one black sock = 1 - (6 / 11) = 5 / 11
d) a green sock.
n(Green) = number of Green socks = 0
Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.
e) matching socks.
This can be calculated using the following 4 steps:
Step 1: Calculation of the probability of matching blue socks
P(matching blue socks) = P(B) = 1 / 11
Step 2: Calculation of the probability of matching gray socks
P(matching green socks) = Probability of matching gray socks = ?
Probability of first pick = n(G) / n(T) = 5 / 12
Since it is without replacement, we have:
Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11
P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33
Step 3: Calculation of the probability of matching black socks
P(matching black socks) = Probability of matching green socks = ?
Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4
Since it is without replacement, we have:
Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11
P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22
Step 4: Calculation of the probability of ending up wearing matching socks
P(matching socks) = Probability of ending up wearing matching socks = ?
P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66
The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?
A. $360
B. $480
C. $600
D. $720
E. $840
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
cómo simplificar 2/3 paso a paso
Answer:
No sé pude simplificar ya que ambos no tiene divisores en común. Pero si lo deseas dividir daría como resultado: 2 ÷ 3 = 0.6666666667
The simplified expression is 0.67.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
2/3
This can be written in decimal form.
Now,
2/3
3 ) 2 ( 0.66666
20
18
20
18
20
18
20
Thus,
The simplified expression is 0.67.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
The complete question.
How to simplify 2/3 step by step
Can someone please answer the last one
PLEASE HURRY HELP ME DUE IN 5 MIN WILL MARK BRANCH
9514 1404 393
Answer:
parallel
Step-by-step explanation:
We can put both equations into slope-intercept form to make comparison easier.
-3x = 3 - y ⇒ y = 3x +3
3 +y = 3x -2 ⇒ y = 3x -5
These lines have the same slope, but different y-intercepts.
The lines are parallel.
Select all that apply.
Choose all the metric units of length.
millimeter
kilometer
kilogram
mile
meter
centimeter
inch
liter
Answer:
a,b,c,e,h
Step-by-step explanation:
Answer:
millimeters, centimeters, meters, and kilometers
Step-by-step explanation:
These are the metric units that measure length. The question throws you off and answers that are metric that measure weight as well but the question asks for metric that measures length.
-1.375 as a mixed number
O Light travels at the speed of M/s in how many miles does light travel in 30 seconds
Answer:
C
Step-by-step explanation:
Formular for speed is distance
Time
1.9×10^5=distance
30
Distance= 5700000
Distance=5.7×10^6
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
primitive of (x+1)e^x
[tex]\int{(x+1)e^x} dx[/tex]
Integrate by parts: [tex]\int{fg'} = fg - \int{f'g}[/tex], where [tex]f = x+1[/tex], [tex]g' = e^x[/tex], [tex]f' = 1[/tex] and [tex]g = e^x[/tex]
[tex]\int{(x + 1)e^x} dx = (x+1)e^x - \int{e^x} dx\\= (x + 1)e^x - e^x + C = xe^x + C[/tex]
which equation is it please help me !!
Answer:
y-8x=-2
Step-by-step explanation:
so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives
-(-8)=8
let us put all the equations into slope intercept form
a.y=-8x+6
b.y=-1/8x-5
c.y=1/8x-5
d. y=8x-2
y=mx+b
as you can see the only line with a slope of 8 is y-8x=-2
definition of a rhombus
search nyo na lng po atsaka bagohan pa ako dto sorry
a parallelogram whose all sides are equal is called a rhombus a rhombus is four sided quadrilateral
PROPERTIES
all sides are equal length each pair of opposite side is equal opposite angles are equal diagonal of a rhombus are perpendicular bisector of each otherLEARN FORMULA
[tex]area \: of \: rhombus \: = \frac{1}{2} \: \times product \: of \: diognal \: \\ \\ \\ = \frac{1}{2} \times ac \times bd \\ \\ side \: of \: rhombus \: = \frac{1}{2} \sqrt{(ac {}^{2} + bd {}^{2} } [/tex]
It takes Brian 7 weeks to save
420 dollars. At this rate how
much will he have saved after ||
weeks?
HELP ME PLEASE!!!!!!!!!!!
Answer:
y - 7 = 5/4(x - 3)
Hope that helps
Answer:
welcome
Step-by-step explanation:
Can someone help me with these math problems?
1/4 written as a percentage
Step-by-step explanation:
1/4 in percentage
= 1/4 * 100%
= 25%
Answer:
4/4=100%
1/4=100÷4
= 25%
PLEASE HELP ON TIMMER!!!
Example 4
You want to reduce the size of a picture to place in a
small frame. You aren't sure what size to choose on
the photocopier, so you decide to reduce the picture
by 15% each time you scan it until you get it to the
size you want. If the picture was 10 inches long at the
start, how long is it after 3 scans?
; A=
;=
Equation Used:
y=
Answer: ooop
Step-by-step explanation:
sorry I cat help you I don't know this
1
#2 Solve for p.
186 = 6p
2
Answer:
31is your answer
186 = 6p
p=186/6=31
What is 72 divided by 12
Answer:
6
xmxnznfnsmfbxdkdjdjf
Answer:
6
Step-by-step explanation:
72 ÷ 12 =6
Have a nice dayyy
Given f (x) = 2x3 + 5x2 – 3x and g(x) = 8x – 7, find (f X g)(x).
Step-by-step explanation:
I don't know what you really mean by 2x3 and 5x2 but if the x there's is multiplication sign then your answer is 149x - 24x^2 - 112.