Using relations in a right triangle, it is found that it's area is of 302.2 units squared.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:
\(\tan{25^\circ} = \frac{x}{36}\)
\(x = 36\tan{25^\circ}\)
x = 16.79.
What is the area of a right triangle?It is given by half the multiplication of it's sides, hence:
A = 0.5 x 16.79 x 36 = 302.2 units squared.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
Find the slope of two points (1,-5)(10,6)
Answer:
11/9
Step-by-step explanation:
Answer: 11/9
Step-by-step explanation:
The slope is found by the change in y over the change in x
(6-(-5))/(10-1)
Simplify:
11/9
The line passes through (0,5) and (2,13) find the slope
Answer:
Slope = 4
Step-by-step explanation:
Choose an expression that is equivalent to (-2)^4/(-2)^2. out of these
The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
How to determine the expression that is equivalent to (-2)^4/(-2)^2?The expression is given as:
(-2)^4/(-2)^2
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^(4 -2)
4 - 2 has the same value as 6 - 4
So, we have:
(-2)^4/(-2)^2 = (-2)^(6-4)
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^6/(-2)^4
Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ1
A metal pipe is 1.75 meters long. Josh wants to make a scale drawing of the pipe. The scale factor for his drawing will be 1/25. What will be the length, in centimeters, of the metal pipe in his drawing
Answer:
sagutan mo yan module mo yan wag kang umasa sa brainly
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
the number7 less than z is_______
Answer:
z-7 is correct
Let A be a 8x6 matrix. What must a and b be if we define the linear transformation by T:Rᵃ->Rᵇ as
According to the question we have for the given 8x6 matrix A and the linear transformation T: Rᵃ -> Rᵇ, the values of a and b must be a = 6 and b = 8.
Given an 8x6 matrix A, we can define a linear transformation T: Rᵃ -> Rᵇ by multiplying this matrix with a column vector from Rᵃ. For the matrix multiplication to be valid, the number of columns in A (which is 6) must match the number of rows in the column vector, which is equal to 'a'. Therefore, a = 6.
Now, after the matrix multiplication, we will get a new column vector in Rᵇ. The number of rows in this resulting vector is determined by the number of rows in matrix A, which is 8. Thus, b = 8.
In conclusion, for the given 8x6 matrix A and the linear transformation T: Rᵃ -> Rᵇ, the values of a and b must be a = 6 and b = 8.
To know more about Matrix visit :
https://brainly.com/question/29132693
#SPJ11
Find the area of this composite figure.
Answer: 242 in²
All the work is shown in the picture.
Simpllfy: 4(3b) А 4+3b В 12+5 C 12b D 7b
For:
\(4(3b)\)Use distributive property:
\(4(3b)=4\times3b=12b\)----------------------------------------------------
Let:
x = Unknown number
When the number x is increasesd by 35 the result is 38, so:
\(x+35=38\)Laura borrowed a total of $18,000 from two different banks to start a business. One bank charged the equivalent of 6% simple
Interest, and the other charged 7.5% interest. If the total interest after 3 years was $3330, determine the amount borrowed from
each bank.
Part: 0/4
Part 1 of 4
Let x represent the principal on the business loan at 6%.
Then,
is the remaining amount borrowed at 7.5%.
Step-by-step explanation:
Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.
The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330
Solve for x:
0.06x(3)+0.075(18000−x)(3)=3330
Step 1: Simplify both sides of the equation.
0.06x(3)+0.075(18000−x)(3)=3330
0.06x(3)+−0.225x+4050=3330(Distribute)
0.18x+−0.225x+4050=3330
(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)
−0.045x+4050=3330
−0.045x+4050=3330
Step 2: Subtract 4050 from both sides.
−0.045x+4050−4050=3330−4050
−0.045x=−720
Step 3: Divide both sides by -0.045.
−0.045x/−0.045=−720/−0.045
x=16000
x=16000
So, the amounts borrowed are:
Bank at 6% = 16000
Bank at 7.5% = 2000
Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d.
The probabilities for the hypergeometric distribution with the given parameters are:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:
P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)
where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)
Let's calculate the probabilities:
a. P(X = 1):
P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)
= (20 * 80) / 3921225
≈ 0.000407
b. P(X = 6):
P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)
= (38760 * 0) / 3921225
= 0
c. P(X = 4):
P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)
= (4845 * 80) / 3921225
≈ 0.098117
d. P(X = 0):
P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)
= (1 * 77) / 3921225
≈ 1.97e-05
Therefore:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ4
The complete question is:
Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).
how many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits?
Answer:
infinite
Step-by-step explanation:
the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite
-hope this helps-
7
у
2
5
4
10
6
15
What are the input values?
thank u :)!! for the help
Answer:
$0.75
Step-by-step explanation:
Consider any one of the values given in the table.
Cost of 5 tickets = $3.75
So, cost of 1 ticket
= $3.75/5
= $0.75
Verification:
Verify the answer by other values.
Cost of 10 tickets = $7.50
So, cost of 1 ticket
= $7.50/10
= $0.75
Cost of 15 tickets = $11.25
So, cost of 1 ticket
= $11.25/15
= $0.75
Cost of 20 tickets = $15.00
So, cost of 1 ticket
= $15.00/20
= $0.75
The cost of 1 ticket is same in all cases.
Hence, verified.
For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =
The optimal values of these parameters are:
a. β₁ = 0
b. β₂ = 0
The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 + 681 + 382 + 18β1β2
Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.
Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0
Now, we need to find the partial derivative of SSE with respect to β1.
∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0
Therefore, we obtain the optimal value of β2 as 0.
Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0
Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.
Thus, the optimal values of β1 and β2 are 0 and 0, respectively.
Therefore, the answers are: a. β₁ = 0 b. β₂ = 0
Learn more about regression analysis at
https://brainly.com/question/31691955
#SPJ11
can someone give me formulas to calculate area
Answer:
Step-by-step explanation:
Triangle
Area = ½ × b × h
b = base
h = vertical height
Square
Area = a2
a = length of side
Rectangle
Area = w × h
w = width
h = height
Parallelogram
Area = b × h
b = base
h = vertical height
Trapezoid (US)
Trapezium (UK)
Area = ½(a+b) × h
h = vertical height
Circle
Area = π × r2
Circumference = 2 × π × r
r = radius
Ellipse
Area = πab
Sector
Area = ½ × r2 × θ
r = radius
θ = angle in radians
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
PLEASE HELP I WILL MARK BRAINIST!!!!
An education budget went from $800,000 to $900,000. What is the approximate percent increase?
A.The approximate percent increase is 13%.
B.The approximate percent
increase is 89%.
C. The approximate percent increase is 98%.
D. The approximate percent increase is 113%.
Answer:
The answer is A
Step-by-step explanation:
I got it right on edge.
Answer:
The approximate percent increase is 13%.
Step-by-step explanation:
ou want to obtain a sample to estimate a population mean. based on previous evidence, you believe the population standard deviation is approximately . you would like to be 98% confident that your estimate is within 5 of the true population mean. how large of a sample size is required?
A sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.
To determine the sample size required to estimate a population mean with a 98% confidence level and a margin of error of 5, we need to use the formula:
n = (z^2 * σ^2) / E^2
where:
- n is the sample size
- z is the z-score associated with the confidence level (in this case, 2.33 for a 98% confidence level)
- σ is the population standard deviation (0. given in the question)
- E is the margin of error (5 in this case)
Plugging in the values, we get:
n = (2.33^2 * 0.^2) / 5^2
n = 4.8556
Since we cannot have a fraction of a sample, we round up to the nearest whole number. Therefore, a sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.
It is important to note that this formula assumes that the population is normally distributed. If this assumption is not met, the sample size calculation may need to be adjusted. Additionally, this formula only estimates the minimum sample size required and does not take into account factors such as cost and feasibility of obtaining the sample.
Learn more about standard deviation brainly.com/question/29115611
#SPJ11
7x - 6 = 3 + x - 5 - 2x
Answer:
x=1/2
Step-by-step explanation:
7x−6=3+x−5−2x
Step 1: Simplify both sides of the equation.
7x−6=3+x−5−2x
7x+−6=3+x+−5+−2x
7x−6=(x+−2x)+(3+−5)(Combine Like Terms)
7x−6=−x+−2
7x−6=−x−2
Step 2: Add x to both sides.
7x−6+x=−x−2+x
8x−6=−2
Step 3: Add 6 to both sides.
8x−6+6=−2+6
8x=4
Step 4: Divide both sides by 8.
8x /8 = 4 /8
x= 1 /2
Answer:
0
Step-by-step explanation:
We need to factor the GCF (Greatest Common Factor).
The resulting term is a product of the GCF and the original expression divided by the GCF.
In our example, the GCF is equal to X + 2.
I'm not sure if its 0
But mine is "0"
If I can do a job in 1 and a half hours, and my friend can do the same job in 2 hours, how long will it take us working together?
Answer:
1 1/2 hours i think
Step-by-step explanation:
Laura is building a fence around her garden. For every feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
PLEASE HELP THIS IS DUE IN A COUPLE MIN!! THANKS
Answer:
8 18 16 27
Step-by-step explanation:
help me plz i need help
Answer:
91677.9415 milliliters
Step-by-step explanation:
which equation justifies why 27 1 3 is equivalent to the cube root of 27?
The equation that justifies why\(27^{(1/3)}\) is equivalent to the cube root of 27 is:\(27^{(1/3)} = (27^{1)^{(1/3)}} = 27^{(1/3)}\)
The definition of cube rootThe cube root symbol is represented by the number "3". In the square root case, only the root symbol—also known as a radical—was employed. Therefore, the cube root of different numbers can be symbolically represented as follows: 5 divided by its cube = 3. 11 has a cube root of 311 and so on.
What does a cube of 3 inches mean?The cube root of three is the same as the number 1.442224957031. The cube root of three has the radical representations 33 and 31/3. " denotes the square root.
The cube root formula aids in computing the cube root of any given number that is represented by the symbol in radical form. It can be determined by first determining the number's prime factorization and then using the cube root formula. Assume that x is any number such that it equals y, y, and y.
To know more about Cube Root visit:
brainly.com/question/30038389
#SPJ1
a function f is given, and the indicated transformations are applied to its graph (in the given order). write the equation for the final transformed graph. f(x)
The equation for the final transformed graph is h(x) = - (x + 6)²
To find the equation for the final transformed graph after applying the given transformations to the function f(x) = x², we will apply each transformation step by step.
1. Shift 6 units to the left:
To shift the graph 6 units to the left, we subtract 6 from the original function:
g(x) = f(x + 6) = (x + 6)²
2. Reflect in the x-axis:
To reflect the graph in the x-axis, we take the negative of the function:
h(x) = -g(x) = - (x + 6)²
Therefore, the equation for the final transformed graph is h(x) = - (x + 6)².
Learn more about transformed graph here
https://brainly.com/question/31553669
#SPJ4
The given question is given, the complete question is below
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x²; shift 6 units to the left and reflect in the x-axis
The four key features used in describing a graphical display of a quantitative variable are the
Shape: Is the distribution symmetric or skewed? Are there multiple 'peaks?'
Center: What seems to be a 'typical' range of values?
Spread: How variable is the data set?
Outliers/unusual features: Are there any other odd things to note?
We can gain a comprehensive understanding of the distribution and characteristics of a quantitative variable.
What is variable?In mathematics, a variable is referred to as the alphanumeric symbol used to represent a number or numerical value. An unknown quantity is represented as a variable in algebraic equations. From a to z, these variables can be any alphabet.
The four key features used in describing a graphical display of a quantitative variable are:
1. Shape: The shape of the distribution refers to whether it is symmetric or skewed. A symmetric distribution has a similar shape on both sides of the center, while a skewed distribution is asymmetrical, with one tail longer or stretched out compared to the other. Additionally, the shape can also indicate whether there are multiple peaks or modes in the distribution.
2. Center: The center of the distribution represents the typical or average range of values. It is often described using measures such as the mean, median, or mode. These measures provide information about the central tendency of the data.
3. Spread: The spread, also known as variability or dispersion, describes how much the data points deviate from the center. It provides information about the range or extent of values in the dataset. Common measures of spread include the range, interquartile range (IQR), variance, and standard deviation.
4. Outliers/Unusual features: Outliers are data points that significantly deviate from the rest of the dataset. They can indicate extreme values or errors in measurement. Unusual features refer to any other noteworthy characteristics or patterns observed in the data, such as clusters, gaps, or unusual shapes that do not conform to a typical distribution.
By considering these four key features, we can gain a comprehensive understanding of the distribution and characteristics of a quantitative variable.
Learn more about quantitative variable on:
https://brainly.com/question/14037311
#SPJ4
The four key features used in describing a graphical display of a quantitative variable are the:
Shape: Is the distribution symmetric or skewed? Are there multiple 'peaks?'
Center: What seems to be a 'typical' range of values?
Spread: How variable is the data set?
Outliers/unusual features: Are there any other odd things to note?
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
work is shown and pictured
MATH EXPERTS PLEASE
evaluate the log expression
Answer:
0, 728
Step-by-step explanation:
㏒\(_{12}\) 1, 728 =
The base 12 logarithm of 1 is 0.
\(sort ( 0,728)\)
The list values are already in order.
0, 728
If 4 + 2(3x − 4) = 8 + 3x, then 4x − 4 + 3x equals:
Answer:
x = 10.931 or round to x = 11
Step-by-step explanation:
Find the surface area of the cylinder pictured. Use 3.14 for pi.
\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=12 \end{cases}\implies SA=2\pi(4) (12+4) \\\\\\ SA=8\pi (16)\implies SA=128\pi \implies \stackrel{using~\pi =3.14}{SA\approx 401.92}~in^2\)