Find the area of the given triangle. Round your answer to the nearest tenth.

A right triangle with a base of 36. The angle of elevation is 25 degrees.

Group of answer choices

302.2 units squared

1 comma 389.6 units squared

766.6 units squared

Find The Area Of The Given Triangle. Round Your Answer To The Nearest Tenth. A Right Triangle With A

Answers

Answer 1

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.

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Related Questions

Find the slope of two points (1,-5)(10,6)

Answers

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

Answers

Answer:

Slope = 4

Step-by-step explanation:

Choose an expression that is equivalent to (-2)^4/(-2)^2. out of these ​

Choose an expression that is equivalent to (-2)^4/(-2)^2. out of these

Answers

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

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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

Answers

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*

Answers

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

the number7 less than z is_______

Answers

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

Answers

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.

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Find the area of this composite figure.

Find the area of this composite figure.

Answers

Answer: 242 in²

All the work is shown in the picture.

Find the area of this composite figure.

Simpllfy: 4(3b) А 4+3b В 12+5 C 12b D 7b

Answers

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%.

Answers

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.

Answers

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

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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?

Answers

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?

Answers

100 million 47 thousand

thank u :)!! for the help

thank u :)!! for the help

Answers

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 =

Answers

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

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can someone give me formulas to calculate area ​

Answers

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

Answers

I think the third one

I’m not sure
Y = -1/2 x -9




That’s the answer

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%.

Answers

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?

Answers

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.

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7x - 6 = 3 + x - 5 - 2x

Answers

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?

Answers

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

Laura is building a fence around her garden. For every feet of fencing, the cost is $18.Complete the

Answers

Answer:

8 18 16 27

Step-by-step explanation:

8 18 16 and 27 that's the answer

help me plz i need help

help me plz i need help

Answers

Answer:

91677.9415 milliliters

Step-by-step explanation:

which equation justifies why 27 1 3 is equivalent to the cube root of 27?

Answers

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 root

The 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.

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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)

Answers

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.

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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?

Answers

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.

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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 .

Can someone answer this question please please help me I really need it if its correct I will mark you

Answers

Answer:

work is shown and pictured

Can someone answer this question please please help me I really need it if its correct I will mark you

MATH EXPERTS PLEASE

evaluate the log expression

MATH EXPERTS PLEASE evaluate the log expression

Answers

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

Given log(base_12)1728,

where base = 12
1728 = x

Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n

This gives you:

log(base_12)(12^3) = 3

The base 12 and the value of x = 12 cancels out, leaving you with 3.

Attached is the solution.

Please mark my answers as the Brainliest, if you find this helpful :).
MATH EXPERTS PLEASE evaluate the log expression

If 4 + 2(3x − 4) = 8 + 3x, then 4x − 4 + 3x equals:

Answers

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.

Find the surface area of the cylinder pictured. Use 3.14 for pi.

Answers

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=12 \end{cases}\implies SA=2\pi(4) (12+4) \\\\\\ SA=8\pi (16)\implies SA=128\pi \implies \stackrel{using~\pi =3.14}{SA\approx 401.92}~in^2\)

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