Answer:
x = 24.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adj side
tan 20 = 9/x
x tan 20 = 9
x = 9/ tan 20
x = 24.72729678
Round to the nearest tenth
x = 24.7
Find the Area of the Trapezoid.
Answer:
18 ft^2
Step-by-step explanation:
Calculate the area and circumference of a circle with diameter 8cm explain by step by step
Answer:
Area = 50.24 cm^2
Circumference = 25.12 cm
Step-by-step explanation:
To calculate the area and circumference of a circle with a diameter of 8cm, you can follow these steps:
Recall that the diameter of a circle is the distance across the circle passing through its center. In this case, the diameter is given as 8cm.
Recall that the radius of a circle is half of its diameter. To find the radius, you can divide the diameter by 2:
radius = diameter/2
radius = 8cm/2
radius = 4cmTo calculate the area of a circle, use the formula:
area = πr^2
where π is the mathematical constant pi (approximately 3.14) and r is the radius.
Substituting the values we have:
area = 3.14 x (4cm)^2
area = 3.14 x 16cm^2
area = 50.24cm^2
Therefore, the area of the circle with diameter 8cm is 50.24 square centimeters.
To calculate the circumference of a circle, use the formula:
circumference = 2πr
where π is again the mathematical constant pi and r is the radius.
Substituting the values we have:
circumference = 2 x 3.14 x 4cm
circumference = 25.12cm
Therefore, the circumference of the circle with diameter 8cm is 25.12 centimeters.
Answer:
the area is about 50.26548
the circumference is about 25.13274
Step-by-step explanation:
Divide the diameter by 2 to get the radius (4)
Then use this equation to find the area A=\pi r^{2}
A=\pi 4^{2}
A=16\pi
A= about 50.26548
Then use this equation to find the circumference C=\pi d
C=8\pi
C= about 25.13274
\( \frac{9x - 9}{ \\ 3x - 3} = \)
please help me here
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
\(\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3\)
Find the volume of a cylinder with a height of 9 cm and a radius of 3 cm
The volume of a cylinder with a height of 9 cm and a radius of 3 cm in terms of π is 81π cm³
Volume of a cylinderVolume of cylinder = πr²h
where,
Radius, r = 3cmHeight, h = 9 cmSo,
Volume of cylinder = πr²h
= π × 3² × 9
= π × 9 × 9
= 81π cm³
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Calculate the mean value of the radius (r) at which you would find the electron if the H atom wave function is 100(r).
The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.
The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.
To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.
Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.
In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.
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Consider an example of an apartment: the number of bedrooms, bathrooms, and the floor of an apartment determines its price. Which is/are the predictor variable(s) in this example?.
By using function, it can be concluded that-
The predictor variables are bed, bath, floor
What is function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
In a function y = f(x), x is the independent variable and y is the dependent variable.
The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment
So the required function is p = f(bed, bath, floor) where p is the price of the apartment
The predictor variables are bed, bath, floor
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Select three ratios for the given ratio 6/14
Answer:
3 to 7
9 to 21
12 to 28
Step-by-step explanation:
6/14 is also equal to 6 to 14 or 6:14
Can anyone help me with this?
I thing it lies on the negativity side of the number line between -2,24
The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3. what are the coordinates of a'?
The coordinates of a' after scaling factor of 1/3 is a'(1,1).
Given:
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
Scale factor :
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
scale factor = 1/3
= (3*1/3 , 3*1/3)
= (3/3 , 3/3)
= (1,3/3)
= (1,3)
Therefore the coordinates of a'(1,1).
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A cylinder has a height of 10 inches and a radius of 17 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Steps:
Radius= 17in
Height= 10in
Formula: V=πr2h
Shape: Right cylinder
Solved for volume
H= Height
R= Radius
Description:
We know that R is 17 inches, and H is 10 inches. Since we are finding the volume we use the formula V=πr2h to calculate. After calculating your answer will come as V≈9079.2in³. You also said to round your answer to the nearest hundredth. After rounding your answer to th enearest hundredth your answer will come as 9,079.20.
Answer: V≈9079.2in³
Round to the nearest hundredth = 9,079.20
Please mark brainliest
Hope this helps.
Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.
Answer:
undefined
Step-by-step explanation:
Given points: (-8, -3) and (-8, -2)
As the x-value of both points is the same, there is no slope.
Therefore, the line that passes through the two given points is a vertical line at \(x=-8\)
Proof\(\textsf{let}\:(x_1,y_1)=(-8,-3)\)
\(\textsf{let}\:(x_2,y_2)=(-8,-2)\)
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}\)
Any number divided by zero is undefined.
If the regular price of the pair of glasses was $72 how much did Gabriela pay wit the discount
The amount Gabriela paid with the discount is $50.4.
How to find the amount paid with the discount?Discount is a reduction in price. Discount means reducing the price or value of an object or item.
Gabriela bought a new pair of glasses at the store when they were 30% off the sale.
The regular price of the glasses is 72 dollars. The amount Gabriela paid with the discount can be calculated as follows:
discount = 30% off of the sale
discount = 30 / 100 × 72
discount = 2160/ 100
discount = 21.6 dollars
Therefore,
price paid with the discount = 72 - 21.6
price paid with the discount = 50.4 dollar
Therefore, the amount she paid with the discount is 50.4 dollars
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Find the radius of convergence and interval of convergence. Write your cedius and interval of conversence here, and include your work in your File Uplood to receive full credit.) ∑ n=0
[infinity]
2 n
(−1) n
(x−3) n
The series ∑ (n=0 to infinity) \(2^n * (-1)^n * (x-3)^n\) does not converge for any value of x.
To find the radius of convergence and interval of convergence for the series ∑ (n=0 to infinity) \(2^n * (-1)^n * (x-3)^n\), we can use the ratio test.
The ratio test states that if we have a series ∑ a_n, then the radius of convergence R can be found using the formula:
R = 1 / L
where L is the limit as n approaches infinity of |a_(n+1) / a_n|.
Let's apply the ratio test to our series:
\(a_n = 2^n * (-1)^n * (x-3)^n\)
\(a_{(n+1)} = 2^(n+1) * (-1)^(n+1) * (x-3)^(n+1)\)
\(= 2 * (-1) * 2^n * (-1)^n * (x-3)^n * (x-3)\)
Taking the absolute value:
|a_(n+1)| = 2 * |x-3| * |a_n|
Now, we can calculate the limit:
L = lim (n→∞) |a_(n+1) / a_n|
= lim (n→∞) (2 * |x-3| * |a_n|) / |a_n|
= 2 * |x-3|
To determine the radius of convergence, we need to find the values of x for which the limit L is less than 1. Therefore:
2 * |x-3| < 1
Dividing both sides by 2:
|x-3| < 1/2
This inequality states that the distance between x and 3 must be less than 1/2. In other words:
-1/2 < x - 3 < 1/2
Adding 3 to all parts of the inequality:
2.5 < x < 3.5
So, the interval of convergence is (2.5, 3.5) and the radius of convergence is:
R = 1 / L
= 1 / (2 * |x-3|)
= 1 / (2 * (3-3.5))
= 1 / (-1)
= -1
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The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
solve for b
b/2 - 5 =4
with steps
Answer:
18
Step-by-step explanation:
b/2-5=4 ADD 5 TO BOTH SIDES
+5 +5
b/2=9
b/2=9/1 CROSS MULTIPLY
b=18
Answer:
b = 18
Step-by-step explanation:
b/2 - 5 = 4
b/2 = 4 + 5
b/2 = 9
b = 9 x 2
b = 18
Cora is playing a game that involves flipping three coins at once.
Let the random variable H be the number of coins that land showing "heads. " Here is the proba bility distribution for H.
H=#of heads 0
1
2
3
P(H)
0. 125
0. 375 0. 375 0. 125
The expected value of H is
A game that involves flipping three coins at once the expected value of H in this game is 1.5.
The expected value of H, by its corresponding probability and sum them up the expected value (E[H]) is:
H = # of heads: 0 1 2 3
P(H): 0.125 0.375 0.375 0.125
E[H] = (0 × P(H=0)) + (1 ×P(H=1)) + (2 × P(H=2)) + (3 × P(H=3))
Substituting the given probabilities:
E[H] = (0 × 0.125) + (1 × 0.375) + (2 × 0.375) + (3 ×0.125)
E[H] = 0 + 0.375 + 0.75 + 0.375
E[H] = 1.5
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EX) 15.01 Fossil Bones The lengths of two bones in the fossils of the extinct beast Archaeopteryx closely follow a straight-line pattern. The equation of the least-squares line is given as:
humerus length (in cm) = -3.66 + (1.197 × femur length in cm)
Fill in the blank:
When you use this equation of the least-squares line, the humerus length for a fossil with a femur 70 cm long is ________ cm. Give your answer to two decimal places.
When you use the equation of the least-squares line, the humerus length for a fossil with a femur 70 cm long is 80.13 cm.
To find the humerus length for a fossil with a 70 cm long femur, we will use the given least-squares line equation:
humerus length (in cm) = -3.66 + (1.197 × femur length in cm)
Replace "femur length in cm" with 70 in the equation:
humerus length (in cm) = -3.66 + (1.197 × 70)
Multiply 1.197 by 70:
1.197 × 70 = 83.79
Add -3.66 to the result from Step 2:
-3.66 + 83.79 = 80.13
So, when using the equation of the least-squares line, the humerus length for a fossil with a femur 70 cm long is 80.13 cm (rounded to two decimal places).
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Which is true about the product of 3/8 and 7/2. 1.The product is less than 3/8. 2.The product is greater than 1/8 and less that 1/2. 3.The product is greater than 7/2. 4.The product is greater that 3/8 and less than 7/2.
Answer:
4.The product is greater that 3/8 and less than 7/2.
Step-by-step explanation:
The product of 3/8 and 7/2 is:
\(\frac{3}{8} * \frac{7}{2} \\\\= \frac{21}{16} = 1\frac{5}{16}\)
This number is greater than 3/8.
It is greater than 1/8 but not less than 1/2.
This number is less than 7/2.
This number is greater than 3/8 and it is less than 7/2.
Hence, the correct options is 4.
Ahmad has been given a list of bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible
Ahmad has been given a list of bands and asked to place a vote.
His vote must have the names of his favorite, second favorite, and third favorite bands from the list. Therefore, he needs to choose three bands out of the list of bands. Let's say there are n bands in the list.Therefore, the number of different votes that are possible is equal to the number of ways Ahmad can choose three bands out of n.
We can calculate this using the combination formula:
n C₃ = (n!)/(3!(n - 3)!)
where n! means n factorial,
or n × (n - 1) × (n - 2) × 3 × 2 × 1.
For example, if there are 5 bands in the list, then the number of different votes possible would be:
5C₃ = (5!)/(3! × 2!) = (5 × 4 × 3)/(3 × 2 × 1) = 10
there are 10 different votes that are possible when there are 5 bands in the list.In general, if there are n bands in the list, then the number of different votes that are possible is:
n C₃ = (n!)/(3!(n - 3)!)I hope that helps!
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jeff paid $4773 for 6 identical printers and 3 identical cameras. ron bought 4 such printers and 6 such cameras and paid $5002 in all. what is the cost of each printer?
The cost of each printer is $568.
Find cost per unitTo find the cost of each printer, we need to use a system of equations.
Let's call the cost of each printer "p" and the cost of each camera "c".
The first equation we can create is: 6p + 3c = 4773
The second equation we can create is: 4p + 6c = 5002
Now we can use the elimination method to solve for one of the variables.
Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546
And then add the two equations together: -8p = -4544
Now we can solve for "p" by dividing both sides by -8: p = 568
So the cost of each printer is $568.
To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":
6(568) + 3c = 4773
3408 + 3c = 4773
3c = 1365
c = 455
So the cost of each camera is $455.
Therefore, the cost of each printer is $568 and the cost of each camera is $455.
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You and your best friend have $10,000 each, which you would like to keep in a savings account. 5/3rd bank offers 4.23% continuous interest and bank of america will give 4.4% interest compounded quarterly. what would be the difference between the two investments after 35yrs? (round to the nearest dollar (whole number))
The difference between the two investments after 35yrs is $4700 and Bank of America is offering higher interest than 5/3rd banks.
Explain compound interest and continuous interest.Most interest is compounded semiannually, quarterly, or monthly. Continuous compounding assumes that interest is compounded indefinitely and reentered on the balance sheet. The continuous compounding formula takes into account four variables.
For the given question,
5/3rd bank offers continuous interest:
For continuous interest, A = P\(e^{rt}\)
where,
P = the initial amount
A = the final amount
r = the rate of interest
t = time
e is a mathematical constant where e ≈ 2.7183.
A = 10000 × \(2.71^{0.042*35}\)
A = 10000 × 4.04
A = $40400 approximately
Interest = Amount - Principle
Interest = 40400 - 10,000
Interest = $30400
Bank of America offers compound interest:
For compound interest:
\(A = P(1 + \frac{r}{n})^{nt}\)
A = 10000 × 4.51
A = $45100
Interest = Amount - Principle
Interest = 45100 - 10,000
Interest = $35100
The above calculation explains Bank of America is offering higher interest than 5/3rd bank by $35100 - $30400 = $4700
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An old woman is overweigh.her doctor told her to decrease 35 kilo.if she loss 11 kilos in the 1st week,9 kilos in the 2nd week and 7 kilos in the 3rd week.iif she continues losing at this rate,how long will it take her to lose 35 kilos?
The number of weeks required to lose 35 kilos of weight is equals to 5 weeks.
As given in the question,
Weight women needs to lose 35kilos
Weight loss in number of weeks
1st week = 11kilos
2nd week= 9kilos
3rd week = 7kilos
Lose weight at the rate of 2kg per week
4th week = 5kilos
5th week = 3kilos
11+9 + 7+5+3=35 kilos
Therefore, the number of weeks required to lose 35 kilos of weight is equals to 5 weeks.
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Help please! It’s due today and I’m stuck on it!
Answer:
B.
Step-by-step explanation:
Answer is b
lmk if im wrong
(answer got deleted, lost my brainliest :(. )
Which term best describes the graph of y = 6 x − 1 ? ILL MARK BRAINLEST SO PLS HELP D:
Group of answer choices
Increasing
Decreasing
Zero slope
Undefined
Answer:
I would say increasing
Step-by-step explanation:
prove me wrong
You roll a die with the sample space S=(1,2,3,4,5,6]. You define A as (1,2,4),B as [1,2,4,5,6],C as [5,6) and D as [2,3,6) Determine which of the following events are exhaustive and/or mutually exclusive
- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.
To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.
To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.
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What is 92199+20923+29290+83292+2819+99279+38471+378144
Answer:
744417
Step-by-step explanation:
Answer:
744,417
Step-by-step explanation:
Add the terms together
What is the measure of angle A? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠A=° Right triangle A B C, with right angle C B A. Side A B is three centimeters, side B C is four centimeters, and side C A is five centimeters.
The measure of angle A is given as follows:
m < A = 53.13º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.Angle A is opposite to a side of length 4 cm, while the hypotenuse is of 5 cm, hence it's measure is obtained as follows:
sin(A) = 4/5
m < A = arcsin(4/5)
m < A = 53.13º.
Missing InformationWe have a right triangle, in which the side length opposite to angle A is BC = 4, while the hypotenuse is CA = 5.
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i need the answer for this problem
Answer:
1.8x10^-4
Step-by-step explanation:
I did it by the calculator
Determine whether the lines CD and EF in the image are parallel for the given angle measures
The lines CD and EF in the image are not parallel for the given angle measures
How to determine if the lines are parallel for the given angle measures?Question #9
The measures of the angles are given as:
BPG = 139
GPC = 95
BQF = 110
As a general rule, the co-interior angles between a parallel, when added have a sum of 180 because they are supplementary angles.
This means that, at least 2 of the given angles must add up to 180.
So, we have:
139 + 95 = 234
139 + 110 = 249
95 + 110 = 205
None of the angles add up to 180.
Hence, the lines CD and EF in the image are not parallel for the given angle measures
Question #10
The measures of the angles are given as:
BPD = 35
APG = 115
EQA = 35
As a general rule, the co-interior angles between a parallel, when added have a sum of 180 because they are supplementary angles.
This means that, at least 2 of the given angles must add up to 180.
So, we have:
35 + 115 = 150
35 + 115 = 150
35 + 35 = 70
None of the angles add up to 180.
Hence, the lines CD and EF in the image are not parallel for the given angle measures
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