Find the area of AAOB
9√3 un
3√3 um
4.5/3 2
The area of the triangle AOB is 9√3 square units
How to determine the area of AOB?The triangle AOB is an equilateral triangle with the following parameters:
Side length, x = 6
Angle, y = 60
The area of the triangle is then calculated using:
Area = 0.5 * x^2 * sin(y)
So, we have:
Area = 0.5 * 6^2 * sin(60)
Evaluate
Area = 18 * 0.5√3
Evaluate the product
Area = 9√3
Hence, the area of the triangle AOB is 9√3 square units
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what is a good approximating for 4pi^3
Answer: 123.84
Step-by-step explanation: You can set pi as 3.14. Then, you get 123.836576. Round to the nearest hundredth to get 123.84.
Smita types 5400 words per hour. How many words does she type per minute?
Answer:
here we have to divide the number of words per hour to the number of minutes per hour.
Step-by-step explanation:
5400÷60
=90.
therefore in a minute she types 90 words.
HOPE IT HELPS.BRAINLIESTadd or subtract the given percent from
71% subtracted from 100% is 29%
Complete questionAdd or subtract the given percent from 100%.
71%
How to solve the expression?The percentage (p) is given as:
p = 71%
When subtracted from 100%, we have:
100% - p
Substitute p = 71%
100% - 71%
71 subtracted from 100 is 29.
So, we have:
100% - 71% = 29%
Hence, 71% subtracted from 100% is 29%
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helpppppppppp meeeeeeeeee pllzzzzzzzzz
From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8 passengers are randomly selected, find the probability that fewer than 7 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are given as follows:
p = 0.7, n = 8.
The probability that fewer than 7 of them show up is given by:
[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]
In which:
[tex]P(X \geq 7) = P(X = 7) + P(X = 8)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]
[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]
Then:
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) = 0.1977 + 0.0576 = 0.2553[/tex]
[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]
0.7447 = 74.47% probability that fewer than 7 of them show up.
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3D TRIGONOMETRY PLS HELP ME HELP
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15 A. 18
B. 24
C. 45
D. 57
Answer:
It's A
Step-by-step explanation:
Thx to the guy in the comments above
Answer:
It's A
Step-by-step explanation:
It's right
Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Which of these is a correct expansion of (3x − 1)(4x² + 5)?
OA. 3x 4x2 + 3x 5+1 4x² +1.5
OB. 3x. 4x² + 3x • 5+ (−1) • 4x² + (−1) • 5
OC. 3x 4x² + (-1). 4x² + 4x².5+ (-1).5
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when full?
it is either, 54 pie cubic feet, 81 pie cubic feet, 108 pie cubic feet or 324 pie cubic feet
Step-by-step explanation:
the volume of a cylinder is as for any other regular 3D object :
ground area ×height
the ground area of a cylinder is a circle, so it is
pi×radius² × height
the radius is always half of the diameter (of the diameter is airways twice the radius).
radius = 6/2 = 3 ft.
the volume is then
pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³
so, the answer is 81pi ft³.
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.
Answer: 60( 1 - 72)
Step-by-step explanation: i think it might be right so heres a proof
1/2x +3x = 14
steps?
Answer: Heyaa! ~
Your Answer would be.. =4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.Convert the integer into a fraction:Combine the fractions:Combine the numerators:Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:Hopefully this helps you ! ^^
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?
The given equation is equivalent to Option D .
The mission option is
A. x+10= x+10
B. x+9 =x² + 20x + 100
C. x² +81 = x² + 100
D. x² + 81 = x² +20x + 100
What is an Equation ?An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .
An equation is given in the question
[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]
[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]
[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]
Therefore the given equation is equivalent to Option D .
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Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.
Answer:
The x-intercept is at (-3, 0).
Step-by-step explanation:
log 1 = 0, so the x intercept of y = log x is at (1, 0).
The + 4 in the parentheses moves the whole graph 4 units to the left.
Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.
PLEASE ANSWER THE PHOTO, BELLOW ILL GIVE HIGH RANK TYSM :}}}}}PLEASE MAKE SURE THEY ARE CORRECT :DDD
Answer:
a) 15:7
b) 1950 ml
c) There were 10 people in the group
Step-by-step explanation:
a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.
b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.
c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.
Three times the sum of a number and 3 is 3 less than the number times 5. Find the
number.
Answer:
3 * (x + 3) = x * 5 - 3
If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.
Is 4,-1 a solution to y+1=3(x-4)
Answer
I don’t quite understand what your asking but I hope this helps
y=3x-13
Step-by-step explanation:
if 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b
If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]
If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0
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Evaluate each function.
14) g(x)= 3x² - 1; Find g(-3)
[tex]g(x) =3x^2 -1\\\\g(-3)=3(-3)^2 -1 \\ \\~~~~~~~~~=3(9) -1 \\\\~~~~~~~~~=27-1\\\\~~~~~~~~~=26[/tex]
Answer:
g(26)
Step-by-step explanation:
substitute -3 for x.
g(x)=3[tex]x^{2}[/tex]-1
[tex]g(-3)=3(-3)^{2} -1\\g(-3)= 3(9)-1\\g(-3)= 27-1\\g(-3)=26[/tex]
40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
Ari said there are three possible outcomes when you
spin this spinner twice: two reds, a yellow and a red,
or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking
Please answer fast :(
========================================================
Reason:
Ari hasn't considered the case of "red and yellow" which is almost identical to "yellow and red".
It helps to lay out a two by two table. Along the rows and columns, you'll have "red" and "yellow". See below.
Then inside the table are the list of all outcomes in the form (x,y) where x is the horizontal component along the columns, and y is the vertical component along the rows.
Example: if x = red and y = red, then we have the outcome (x,y) = (red, red)
As the table shows, we have 4 outcomes. Therefore the probability of getting two yellows is 1/4
Technically the (red, yellow) = (yellow, red) since ultimately order doesn't matter in this case. For some probability problems, order will matter. But again, order doesn't matter here and it means that we can treat these two situations the same. So I can see why Ari thinks there are only three outcomes.
--------------------------------
Here's another way to look at it:
The probability of landing on yellow is 1/2 assuming red and yellow are equally likely.
This means the probability of two yellow in a row is (1/2)*(1/2) = 1/4
Each is spin is independent of any other.
Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√
Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]
Step-by-step explanation:
= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]
= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]
This expression is simplified already
A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?
Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.
What is Trigonometry?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.
Here,
tan²θ + 1 = sec²θ
sin²θ/cos²θ + 1 = 1/cos²θ
By taking LCM, we get
(sin²θ + cos²θ)/cos²θ = 1/cos²θ
(sin²θ + cos²θ) = cos²θ/cos²θ
(sin²θ + cos²θ) = 1
Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.
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what is 1/10 as a decimal does it equal 0.1
4 people completed their work in one hours how will it take 3 peoples to finish it give your answer in minutes
60/4= 15
15 x 3 =45 minutes
[tex]\huge\fbox\purple{question}[/tex]
#Write the member of the following sets=
a)V={vowels of English alphabets}
b){cube numbers between 0 to 50
c)M={y:y is a multiple of 3 less than 20}
#a
V={Vowels of English alphabets}
V={a,e,i,o,u,A,E,I,O,U}#b
C={cube numbers between 0 to 50}
C={0,1,8,27}#c
M={y:y is a multiple of 3 less than 20}
M={0,3,6,9,12,15,18}