• The have 1 equal sides.
• They have 3 sides.
• They have 3 vertex.
|
• GFE = UTS
|
• because they're the same triangle just opposite.
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answer:
\(r=\sqrt{\frac{27}{\pi } }\)
Step-by-step explanation:
\(\pi r^{2} (12)=324\)
\(\pi r^{2} =27\)
\(r^{2} =\frac{27}{\pi }\)
\(r=\sqrt{\frac{27}{\pi } }\)
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
Learn more about Perimeter of a rectangle at
https://brainly.com/question/29595517
#SPJ4
For right triangle ABC with right angle C, suppose sinA=2(sinB)
Find sinA and sinB
Sin A = 2(Cos A)
Sin B = Cos A
Given,
We have ΔABC,
∠C is right angle
If Sin A = 2(Sin B)
We have to find Sin A and Sin B.
Trigonometric theorem
Sin θ = (opposite side / hypotenuse)
Cos θ = (adjacent side / hypotenuse)
Tan θ = (opposite side / adjacent side)
Here,
For Sin A, BC is opposite side and AB is hypotenuse.
For Sin B, AC is opposite side and AB is hypotenuse.
Then,
Sin A = 2(Sin B)
(BC / AB) = 2(AC / AB)
Cancel AB from both sides.
Then we get,
(BC / AC) = 2 -----------(1)
Let's find Tan A
Tan A = (opposite side / adjacent side)
For Tan A BC is opposite side and AC is adjacent side.
Tan A = (BC / AC)
From (1)
(BC / AC) = 2, That is Tan A = 2
Tan A = (Sin A / Cos A) = 2
Sin A / Cos A = 2
∴ Sin A = 2(Cos A)
Sin A = 2(Sin B)
So,
2(Sin B) = 2(Cos A)
Sin B = 2(Cos A) / 2
Sin B = Cos A
That is,
Sin A = 2(Cos A)
Sin B = Cos A
Learn more about trigonometric theorem here:
https://brainly.com/question/2142867
#SPJ1
Tell me something about atoms, molecules, compounds, elements, or periodic table
Atoms:
An atom is a particle of matter that characterizes a chemical element. It is the smallest part of ordinary matter. It is made from particles called protons, neutrons and electrons called the subatomic particles.
Molecules:
A molecule is a substance that contains two or more atoms chemically joined, such as \(k_2,o_2\).
compounds:
A compound is a substance that is made up of two or more different elements that are chemically joined, such as Nacl,CO,\(CO_2\).
Elements:
An element is a substance that is made entirely of one type of atom. For example, the element potassium is made up of only potassium atoms.
Learn more about the elements here:
https://brainly.com/question/14347616
#SPJ1
HELP!!
Cards in a jar are numbered 1 through 10. A card is drawn at random
Which event is MOST LIKELY to occur?
А
the number is an even number
B
the number is greater than 7
с
the number is at least 4
D
the number is at most 6
Answer:
c
Step-by-step explanation:
The event " the number is at least 4" most likely to occur.
Option C is correct.
Probability:Given that,
Cards in a jar are numbered 1 through 10.
Even number cards are \(2,4,6,8,10\)
When a card is drawn at random,
The probability of getting even number card is,
\(P(E)=\frac{5}{10}=\frac{1}{2}=0.5\)
The probability of getting number is greater than 7;
\(P(E)=\frac{3}{10} =0.3\)
The probability of getting number is at least 4;
\(P(E)=\frac{7}{10}=0.7\)
The probability of getting the number is at most 6;
\(P(E)=\frac{6}{10}=0.6\)
Since, the probability of getting number is at least 4 is maximum.
Therefore, the event " the number is at least 4" most likely to occur.
Learn more about the probability here:
https://brainly.com/question/24756209
5 (- 9) + 12, t = 20
I need answers asap please
a
we have (-5-1;-3-2) so answer is A
Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =
The solution for this system of equations. 12x+ 15y = 34 -6x+ 5y = 3
is (x,y) =(2/3, 8/5)
Given a system of equations,
12x + 15y = 34 ------(1)
-6x + 5y = 3 ------(2),
To solve this we use the elimination method
In the elimination method, you either add or subtract the equations to get an equation in one variable.
Equation (1) + 2 × Equation (2),
We get,
(12x+15y=34)+(-12x+10y=6)
⇒ 15y+10y=34+6
⇒ 25y=40
⇒ y=40/25
⇒ y=8/5
From equation (2),
⇒ -6x+5(y)=6
⇒ -6x+5(8/5)=6
⇒ -6x+8=6
⇒ -6x=-2
⇒ x=2/3
Hence the solution for this system of equations. 12x 15y = 34 -6x 5y = 3
is (x,y =(2/3, 8/5)
To learn more about the system of equations visit:
https://brainly.com/question/27919853
#SPJ4
I NEED THE ANSWER ASAP!!!
which is closest to the probability that chris's guess ends up being exactly 4 less than the result?
The probability that Chris's guess ends up being exactly 4 less than the result is approximately 0.5. So, the correct option is c).
The possible values of X are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. The expected value of X can be calculated as
E(X) = (1/6) x 2 + (1/6) x 3 + (1/6) x 4 + (1/6) x 5 + (1/6) x 6 + (1/6) x 7 + (1/6) x 8 + (1/6) x 9 + (1/6) x 10 + (1/6) x 11 + (1/6) x 12
E(X) = 7
To be 4 less than the result, Chris's guess must be X - 4. Therefore, Chris's guess can be 2, 3, 4, 5, 6, 7, 8, 9, or 10.
The probability that Chris's guess ends up being exactly 4 less than the result can be calculated by finding the sum of the probabilities of getting X = 6, 7, or 8, since these are the only values of X that satisfy the condition that X - 4 is one of Chris's possible guesses
P(X = 6) = 5/36
P(X = 7) = 6/36
P(X = 8) = 5/36
P(Chris's guess is X - 4) = P(X = 6) + P(X = 7) + P(X = 8)
P(Chris's guess is X - 4) = 16/36
P(Chris's guess is X - 4) ≈ 0.44
Therefore, the closest answer choice is 0.5. So, the correct answer is c).
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
--The given question is incomplete, the complete question is given
" Suppose that you will roll 2, fair 6-sided dice (assume a Laplace probability model), and let X represent the sum of the results of the two rolls. Your friend Chris makes a guess for the value of X, using the expected value. Which is closest to the probability that Chris's guess ends up being exactly 4 less than the result? 0, 0.15, 0.5, 2, 7, 12"--
(-7)^2
Help
Also what's your zodiac sign?
Answer: 49
and im a taurus
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
-7*-7= 49
Im a gemini
Doing push ups is an example of
Answer:
Muscular strength and muscular endurance
Step-by-step explanation:
you are using strength to push up your body and you are using the muscular endurance because you are doing it over and over again
The House of Representatives and the Senate make up which part of the federal government?
Answer: congress
Step-by-step
The first step in the legislative process is the introduction of a bill to Congress. Anyone can write it, but only members of Congress can introduce legislation. Some important bills are traditionally introduced at the request of the President, such as the annual federal budget. Planation:
Congress
Step-by-step explanation:The US congress is a combination of 2 components called the House of Representatives and the Senate.
Legislative Branch
The US government is made up of 3 branches. Both parts of Congress are a part of the legislative branch. The purpose of the legislative branch is to create laws. The houses of congress create bills and then vote on them to become laws. If a bill passes both the Senate and the House of Representatives, then it is eligible to become a law in the United States.
Differences between the Senate and House of Representative
While both the Senate and House are in Congress, they have slight differences. One of the main differences is the size of the bodies. The senate has 100 senators. Each state in America gets 2 senators. On the other hand, there are 435 representatives in the House. Representation in the House is based on the population of each state.
- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.
Answer:
2.4f-17
Add similar elemets : 2.7f + 0.3f =2.4f
Subtract the numbers:-12 - 5= -17
Answer:
- 2.4f - 17
Step-by-step explanation:
Given
- 2.7f + 0.3f - 12 - 5 ← collect like terms
= - 2.4f - 17
i need the answer to 9x5x2=9x please
Answer:
x=10
Step-by-step explanation:
An account has $32,000 and earns 11% interest. How much will the account be worth after 10 years using compounded yearly. Remember, money has
2 decimal places.
If an account has $32,000 and earns 11% interest compounded yearly, it will be worth $81,384.95 after 10 years.
This is calculated using the formula A = P(1 + r/n)^(nt),
where A is the final amount,
P is the initial amount,
r is the interest rate,
n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $32,000, r = 0.11, n = 1 (compounded yearly), and t = 10.
Plugging these values into the formula,
we get A = $32,000(1 + 0.11/1)^(1*10) = $81,384.95.
Therefore, after 10 years, the account will be worth $81,384.95 with 2 decimal places due to the given information. It is important to note that compounded yearly typically results in higher returns compared to other compounding periods.
To know more about compounded yearly visit:
https://brainly.com/question/29502697
#SPJ11
an article gave the following observations on a maximum concrete pressure (kn/m^2): 33.3 41.8 37.4 40.2 36.7 39.1 36.2 41.8 36.0 35.2 36.7 38.9 35.8 35.2 40.1 using a normal probability plot, we ascertain that it is plausible that this sample was taken from a normal population distribution. calculate an upper confidence bound with confidence level 95% for the population standard deviation of maximum pressure.
A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.
What does "confidence interval" mean?This confidence interval would just be constructed using the Z or t distribution depending on the confidence level that was selected and the standard error of the point estimate.The standard error of the point estimate will be used to account for the variation in the important finding for every one of the outcome measures.For the given question,
sample mean μ = 554.4/15 = 36.96standard deviatio σ = 41.8sample size n = 15confidence interval = 95%The confidence bound's upper limit (UCB) is determined as follows:
UCB = μ + z(α/2)×σ/√n
Now, α/2 = (1 - 0.95)/2
α/2 = 0.025
z(α/2) = 1.96 (obtain from t-distribution table for degree of freedom)
Put the values in the formula,
UCB = μ + z(α/2)×σ/√n
UCB = 36.96 + 1.96×41.8/√15
UCB = 58.11
As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.
To know more about confidence interval, here
brainly.com/question/15712887
#SPJ4
The height of a tower on a scale drawing is 6 cm. The scale is 2 cm:27 m. What is the actual height of the tower?
Answer:
81 m
Step-by-step explanation:
The scale essential means that for every 2 cm the actual height is 27 meters. This means that 6/2 should give us the number we need to multiply 27 by. This comes out to be 81.
Each day, John’s mother gives him money before he goes to school: 50% of the time he gets $5, 35% of the time he gets $10, and the rest of the time he gets $20.
1. Determine the expectation and variance for how much money John gets each day.
2. For the next 100 school days, John plans to save all the money his mother gives him. What is the approximate probability he is able to save more than $1000? Assume independence.
3. If he realizes he has to spend an average of $4 a day with a standard deviation of $0.75, what is the approximate probability that he saves less than $400? Assume independence.
1)The expected value for how much money John gets each day $6.25 and variance is $18.96.
This can be calculated as:
(0.5 * $5) + (0.35 * $10) + (0.15 * $20) = $6.25
The variance can be calculated as:
[(0.5 * ($5 - $6.25)^2) + (0.35 * ($10 - $6.25)^2) + (0.15 * ($20 - $6.25)^2)] = $18.96
2)The probability of saving more than $1000 over 100 days P(Z > 9.28) ≈ 0
To find the probability of saving more than $1000 over 100 days, we need to find the distribution of the total amount of money saved. The mean of this distribution would be
00 * $6.25 = $625, and the variance would be 100 * $18.96 = $1896.
The distribution of the total amount saved would be approximately normal by the central limit theorem. Using the normal distribution, we can calculate the probability of saving more than $1000 as:
P(Z > (1000 - 625) / sqrt(1896)) = P(Z > 9.28) ≈ 0
3) Probability of saving less than $400 is P(Z < -14.14) ≈ 0
The expected amount of money John spends each day is $4. The total amount he spends over 100 days is 100 * $4 = $400. The standard deviation of the amount he spends each day is $0.75. Using the normal distribution, we can calculate the probability of saving less than $400 as:
P(Z < (400 - 625) / sqrt(100 * 0.75^2)) = P(Z < -14.14) ≈ 0
For more questions like Probability click the link below:
https://brainly.com/question/30034780
#SPJ11
List ALL the rules for multiplying and dividing integers
Answer:
RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive.
RULE 3: The product of two negative integers is positive.
Step-by-step explanation:
a degree can be further divided into arcminutes and arcseconds. one degree contains 60 arcminutes, and one arcminute contains 60 arcseconds. given this information, how many degrees is 15 arcseconds?
There are 0.00416667 degrees in 15 arcsecond.
Define arcseconds?
A unit of angular measure equal to 1/60 of an arc minute, or 1/3600 of a degree. The arc second is denoted. (not to be confused with the symbol for inches).This is a tiled collection of the 3D Elevation Program (3DEP) and is 1 arc-second (approximately 30 m) resolution. The elevations in this Digital Elevation Model (DEM) represent the topographic bare-earth surface.There is a simple relationship between a star's distance and its parallax angle: d = 1/p. The distance d is measured in parsecs and the parallax angle p is measured in arcseconds. This simple relationship is why many astronomers prefer to measure distances in parsecs.The angular resolution of the human eye typically ranges between 40 arcseconds and 1 arcminute. To perceive two separate points, at least three photoreceptors arranged in a row are require.To learn more about arcsecond refers to:
https://brainly.com/question/15003681
#SPJ4
WILL GIVE BRAINLIEST *NO LINKS*
Answer:
Giagram B.
Step-by-step explanation:
It shows an equal answer for G and F, U is shaded
what is evaluated by the chi-square test for goodness of fit?
The Chi-square goodness of fit test is a statistical hypothesis test used to determine if a variable is likely to come from a specific distribution.
What is the chi-square test?When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables.
To put it another way, the main purpose of this test is to determine whether two category factors have independent effects on the test statistic.
It is frequently used to assess how well sampling data represents the entire population.
A statistical hypothesis test used to examine if a variable is likely to come from a given distribution is the Chi-square goodness of fit test.
It is frequently used to assess how well sampling data represents the entire population.
Therefore, the Chi-square goodness of fit test is a statistical hypothesis test used to determine if a variable is likely to come from a specific distribution.
Know more about the chi-square test here:
https://brainly.com/question/4543358
#SPJ1
use the distributive property:
(x-5)(-2)
Answer:
10-2x
Step-by-step explanation:
(x-5) (-2)= x(-2) -5(2) = -2x - 10 = 10-2x.
Answer:
-2x+10
Step-by-step explanation:
(x-5)(-2)
(x×-2) (-5×-2)
= -2+10
What is the probability that a randomly selected datum falls within 2 standard deviations of the mean? Answer with a decimal.
The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.
What is the probability that a datum falls within 2 standard deviations of the mean?By observation, it follows that the distribution as represented in the task content above is a normal distribution.
On this note, the empirical rule applies as follows;
For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.
On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.
Read more on normal distribution;
https://brainly.com/question/26822684
#SPJ1
what is equivialent to 8\11
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
What is the sum of 4 x 10-5 and 3 x 10-5 written in standard form
Answer:
7 * 10 to the power —5
Step-by-step explanation:
check out the attached photo.
Answer:
70x - 10
Step-by-step explanation:
urgent help matlab.Thanks in advanc Write a M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates.
A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"
To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:
1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.
2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.
3. Inside the function, write the conversion code using MATLAB's built-in functions:
- Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.
- Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.
4. End the function with the `end` keyword.
5. Save the file in a directory accessible by MATLAB.
The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.
The function can be called from the MATLAB command window or from another script or function file.
To know more about MATLAB refer here:
https://brainly.com/question/22855458
#SPJ11
Complete question:
Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $5 and each adult ticket sells for $8. The auditorium can
hold no more than 75 people. The drama club must make at least $480 from ticket
sales to cover the show's costs. If a represents the number of student tickets sold and
y represents the number of adult tickets sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:(20, 100).
Step-by-step explanation:
Formation of inequalities and their solution,
To form an inequality choose the variables.
Point lying in the common region of the inequalities will be the solution of the inequalities.
Given in the question,
Cost of student ticket = $5 each
Cost of adult ticket = $9.5 each
Let the number of student tickets sold = x
And the number of adult tickets sold = y
First statement states," Auditorium can hold a maximum of 130 people".
Inequality for the statement will be,
x + y ≤ 130 --------(1)
Second statement states, "The drama club must make at least $950 from the tickets sale to cover the show's cost".
Inequality for the statement will be,
5x + 9.5y ≥ 950 ------ (2)
Now use the utility to graph the inequality,
Since, a point (20, 100) lies in the common region (solution area) of the inequalities,
A parachutist falls at a rate of 18 feet per second. Find the
rate of fall in miles per hour. 100 POINTS FOR WHOEVER ANSWERS THIS ITS DUE IN 10MINS
Answer:
1080 feet per hour