Find the area of the triangle. a. 620 sq. m c. 100 sq. m b. 200 sq. m d. 180 sq.m

The value of the cosine ratio cos(L) is 5/13

The complete question is added as an attachment

Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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The probability of getting a poker hand (5 cards) containing 3 cards of one denomination and 2 cards of a second denomination or full house is 0.00144 or about 0.14%.

To calculate the probability of getting a full house, we need to first determine the total number of possible 5-card hands. This can be done using the formula for combinations:

C(52, 5) = 2,598,960

There are 2,598,960 possible 5-card hands from a standard deck of 52 cards.

Next, we need to count the number of ways to get a full house. To do this, we first choose the denomination for the 3-of-a-kind (there are 13 options), then choose which 3 of the 4 cards of that denomination to include (there are C(4,3) ways to do this), and finally choose the denomination for the pair (there are 12 remaining denominations to choose from), and which 2 of the 4 cards of that denomination to include (there are C(4,2) ways to do this). So the total number of full houses is:

13 * C(4,3) * 12 * C(4,2) = 3,744

Therefore, the probability of getting a full house is:

P(full house) = 3,744 / 2,598,960

≈ 0.00144

So the probability of getting a full house is approximately 0.00144 or about 0.14%.

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sin ( x − 5 π 3 ) sin(x-5π3) in terms of sin ( x ) sin(x) and cos ( x ) cos(x) can be rewritten as ( x − 5 π 3 )

We can use the identity for the sine of the difference between two angles:

sin ( a − b ) = sin a cos b − cos a sin b

where a = x and b = 5π/3:

sin ( x − 5 π 3 ) = sin x cos ( 5 π 3 ) − cos x sin ( 5 π 3 )

Since cos (5π/3) = -1/2 and sin (5π/3) = -√3/2, we have:

sin ( x − 5 π 3 ) = sin x ( − 1 2 ) − cos x ( − √ 3 2 )

Using the identity sin (π/3) = √3/2 and cos (π/3) = 1/2, we can write:

sin ( x − 5 π 3 ) = − 1 2 sin x + √ 3 2 cos x

Therefore, we have expressed sin ( x − 5 π 3 ) in terms of sin x and cos x.

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Using the angle subtraction formula for sine, we can rewrite sin (x - 5π/3) as sin x cos (5π/3) - cos x sin (5π/3). Simplifying further, we know that cos (5π/3) = -1/2 and sin (5π/3) = √3/2. Substituting these values, we get:

sin (x - 5π/3) = sin x (-1/2) - cos x (√3/2)

Therefore, we can rewrite sin (x - 5π/3) in terms of sin x and cos x as:

sin (x - 5π/3) = -1/2 sin x - √3/2 cos x
To rewrite sin(x - 5π/3) in terms of sin(x) and cos(x), you can use the angle subtraction formula for sine, which is:

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In this case, A = x and B = 5π/3. Apply the formula:

sin(x - 5π/3) = sin(x)cos(5π/3) - cos(x)sin(5π/3)

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To fill the rectangular prism we need 1 cube.

To find the number of cubes needed to fill the rectangular prism, we can calculate the volume of the prism and divide it by the volume of a single cube.

The volume of the rectangular prism is given by the formula:

Volume = Length × Width × Height

Substituting the given values:

Volume = 8 in. × 4 in. × 21 in.

Volume = 672 in³

The volume of a cube is given by the formula:

Volume = Edge Length³

Substituting the given edge length:

Volume of a cube = (14 in.)³

Volume of a cube = 2744 in³

Now, we can divide the volume of the prism by the volume of a single cube to find the number of cubes needed:

Number of cubes = Volume of prism / Volume of a single cube

Number of cubes = 672 in³ / 2744 in³

Calculating this division gives:

Number of cubes ≈ 0.245

Since we cannot have a fraction of a cube, we need to round up to the nearest whole number. Therefore, we would need 1 cube to fill the rectangular prism.

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Answer:

7

Step-by-step explanation:

7+2=9

7 puzzles

7 puzzles

Answer:

320

Step-by-step explanation:

sub

Answer:

-2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The actual amount will depend on your specific tax situation and the applicable tax brackets and rates for the given tax year.

To calculate the amount you save in taxes by investing the full $19,000 to your 401k retirement account,

we need to determine the tax savings resulting from the reduction in taxable income.

In this scenario, you make $100,000 per year in New York but invest the full $19,000 to your 401k. As a result, your taxable income is reduced to $81,000 ($100,000 - $19,000).

To calculate the tax savings, we need to determine the difference in taxes paid between the original taxable income ($100,000) and the reduced taxable income ($81,000).

The federal income tax brackets and rates change annually, so I will provide an example based on the 2021 tax year for demonstration purposes.

For simplicity, let's assume the following federal income tax brackets and rates for the 2021 tax year:

- 10% on the first $9,950 of taxable income

- 12% on taxable income between $9,951 and $40,525

- 22% on taxable income between $40,526 and $86,375

- 24% on taxable income between $86,376 and $164,925

To calculate the tax savings, we'll compare the taxes owed at the original taxable income ($100,000) and the reduced taxable income ($81,000).

Let's break it down:

Original taxable income: $100,000

Tax owed based on tax brackets and rates: [Calculation required]

Reduced taxable income: $81,000

Tax owed based on tax brackets and rates: [Calculation required]

By subtracting the tax owed at the reduced taxable income from the tax owed at the original taxable income, you can determine the tax savings resulting from investing in your 401k.

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The parabola's vertex has the equation y = x² - 8x + 12 is (4, -4).

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. A plane curve created by a point moving so that its distance from a fixed point equals its distance from a fixed line is known as a parabola. A normal parabola's standard equation is y 2 = 4 an x, where an is the distance from the vertex to the focus.

Given,

Function,

y = x² - 8x + 12

The supplied equation's vertex must be located.

The equation is a parabolic equation when we look at it.

We are aware that a parabolic equation's generic form is

y = x² - 8x + 12

where the parabola's vertex's x and y coordinates are denoted by h and k.

We can determine the following by comparing the aforementioned equation with the parabola's general form:

x = 4, y = 4 and h = -8

The parabola's vertex has the equation y = x² - 8x + 12 is (4, -4).

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Answer:

D.17

Step-by-step explanation:

To evaluate the expression 2³ + 3², we first calculate the exponentiation values and then perform the addition.

2³ means 2 raised to the power of 3, which is 2 × 2 × 2 = 8.

3² means 3 raised to the power of 2, which is 3 × 3 = 9.

Now, we can substitute these values back into the expression:

2³ + 3² = 8 + 9 = 17

Therefore, 2³ + 3² equals 17.

The expression simplifies to:

Work/Explanation:

First, we need to evaluate 2³ : 2 × 2 × 2 = 8

Then we evaluate 3³ : 3 × 3 = 9

And now we add: 8 + 9 = 17

Why did I do exponents first?

Because that's the right order of operations, according to PEMDAS.

Answer: Im pretty shure its the first one.

Step-by-step explanation:

Answer: x

=

2

y

=

3

Step-by-step explanation:

You can re-arrange equation

x

+

y

=

5

to get

x

=

5

−

y

and then substitute this into the equation

2

x

+

y

=

7

to get

2

(

5

−

y

)

+

y

=

7

.

This can then be simplified to

10

−

y

=

7

and so

3

−

y

=

0

which means

y

=

3

.

Substitute

y

=

3

into

x

+

y

=

5

and you get

x

+

3

=

5

, therefore:

Answer:

X=4 Y=3

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−y=5:

2x−y=5

2(−y+7)−y=5

−3y+14=5(Simplify both sides of the equation)

−3y+14+−14=5+−14(Add -14 to both sides)

−3y=−9

−3y

−3

=

−9

−3

(Divide both sides by -3)

y=3

Step: Substitute3foryinx=−y+7:

x=−y+7

x=−3+7

x=4(Simplify both sides of the equation)

Answer:

The LCD of 1/6 and 1/3 is 6.

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/6, 1/3

For the denominators (6, 3) the least common multiple (LCM) is 6.

LCM(6, 3)

Therefore, the least common denominator (LCD) is 6.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/6 = 1/6 × 1/1 = 1/6

1/3 = 1/3 × 2/2 = 2/6

Answer:

you have given no information.

Step-by-step explanation:

You just say one large pizza and some soft drinks..

A system of equation is 1680mi3hr = p−w×600×2hr -p + w  for a jet airliner travels 1680 miles in 3hours with a tail wind.

Let p be  the speed of the jet airliner

and w  be the speed of the tail wind

It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get

1680mi3hr = p−w×600×2hr = p + w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation, we use

200mph = p - w

Add w to both sides:

p = 200mph + w

Using the value of x, we can found the value of w using system of equations.

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

On dividing by 2:

50mph = w

So the speed of the tail wind is 50mph.

Therefore, 200mph = p - 50mph

Add 50mph on both sides:

250mph = p

Hence, speed of jet airliner is 250mph.

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Answer:

There are 0.186411 miles in 0.3 km.

It might be 202.5cm²

If you split the figure into two shapes you can get a rectangle with an area of 180 (9*20) and a triangle with an area of 22.5 (9*5/2), so if you add them you get 202.5cm².

Hopefully I'm not wrong.

Answer:

9 is the answer

Step-by-step explanation:

You will multiply 3x3 and 9x1 it will have the least common denominator

The answer to your question is that the volume of the solid s, which is a right circular cone with height 3h and base radius 3r, can be calculated using the formula V = (1/3)πr^2h.

a cone can be thought of as a pyramid with a circular base. The volume of a pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height. In the case of a right circular cone, the base is a circle with radius r, so the area of the base is πr^2.
Substituting B = πr^2 and h = 3h into the formula for the volume of a pyramid gives:
V = (1/3)πr^2(3h) = πr^2h
So the volume of the right circular cone with height 3h and base radius 3r is (1/3)π(3r)^2(3h) = 9πr^2h.

the volume of a cone can also be derived using calculus. By slicing the cone into thin disks, we can approximate its volume as the sum of the volumes of these disks. As the thickness of the disks approaches zero, this approximation becomes more accurate and we obtain the exact volume of the cone.
Integrating the area of a disk over the height of the cone gives:
V = ∫0^3πr^2(y/3)dy
where y is the height above the base of the cone and r = (3/y)r is the radius of the disk at that height. Evaluating this integral gives the same result as the formula derived earlier:
V = (1/3)π(3r)^2(3h) = 9πr^2h.

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The chart element that gives a realistic, three-dimensional look is D. plot area.

In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.

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Answer:

You already answered it.

Step-by-step explanation:

Answer:

you na aped u dided nevera for

Answer: I will say it’s C because if you decide 8 by both sides 8 and cancel out 204.8/8=25.6, so it gives the answer of m=25.6.

-by-step explanation:

The statement "When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events" is true.

When two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In such cases, the joint probability of both events can be found by multiplying their individual probabilities. Mathematically, this can be expressed as P(A ∩ B) = P(A) * P(B). This rule holds true for independent events and is a fundamental concept in probability theory.

Now, let's examine the other statements:

1. The probability of the union of two events can exceed one:

This statement is false. The probability of an event is always between 0 and 1, inclusive. When you consider the union of two events, the probability of their combined occurrence cannot exceed 1. It is possible for the sum of the individual probabilities of the two events to exceed 1, but the probability of their union will never be greater than 1.

2. When events A and B are mutually exclusive, then P(A ∩ B) = P(A) + P(B):

This statement is false. Mutually exclusive events are events that cannot occur at the same time. If events A and B are mutually exclusive, their intersection (A ∩ B) will be an empty set, and therefore, the probability of their intersection is 0 (P(A ∩ B) = 0). The correct statement for mutually exclusive events is P(A ∪ B) = P(A) + P(B), where P(A ∪ B) represents the probability of the union of events A and B.

3. The union of events A and B consists of all outcomes in the sample space that are contained in both event A and B:

This statement is false. The union of events A and B, denoted as A ∪ B, consists of all outcomes that belong to either event A or event B or both. In other words, it includes all outcomes that are in A, in B, or in both A and B. The intersection of events A and B (A ∩ B) represents the outcomes that are contained in both A and B.

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The power series representation for the function f(x) = ln(9 + x²) is:

ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ)

How can we express the function f(x) = ln(9 + x²) as a power series?

To derive the power series representation for the function f(x) = ln(9 + x²), we start with the Taylor series expansion for ln(1 + t), where t = x² - 9:

ln(1 + t) = ∑ from n=1 to ∞ (-1)ⁿ * (tⁿ / n).

We substitute t = x² - 9 into the above equation:

ln(9 + x²) = ∑ from n=1 to ∞ (-1)ⁿ * ((x² - 9)ⁿ / n).

This gives us the power series representation for f(x) = ln(9 + x²). However, it's worth noting that this power series converges only within a certain interval of x values.

The radius of convergence can be determined using techniques such as the ratio test or the interval of convergence of the original function.

Therefore, the answer is ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ), but the convergence of the power series needs to be considered based on the interval of convergence.

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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(x - 4)(3x + 2) is an expression that is equivalent to 3x² - 10x - 8.

A quadratic equation is one in which the variable is squared in just one term and not in any other term where the variable is raised to a power greater than 2.

Lets take the quadratic equation:  3x² - 10x - 8

First we will multiply 3\(x^{2}\) and -8, therefore we will get -24\(x^{2}\).

Then we will break -10 x in a way that its terms give a product of -24\(x^{2}\) when multiplied, i.e.,  -10x = 12x - 2x

Thus, 3x² - 10x - 8 = 3x² + 12x - 2x - 8

                              = 3x(x + 4) -2(x + 4)

                              = (3x - 2)(x + 4)

Hence, (3x - 2)(x + 4) is the correct answer.

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The number of positive two-digit integers that are multiples of 5 and 7 are 2

In mathematics, multiples are the results of multiplying an integer by a given number.

The multiples of 5 and 7 within 10 to 100 are

35 and 70

multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95

multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98

The common numbers are 2 which are 35 and 70

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Answer:

a) 3n – 15 + n = 101

Step-by-step explanation:

on edge 2020 || pls mark brainliest

The equation that can be used to find the value of n is 3n - 15 + n = 101

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, a verbal equation, we need to convert it to mathematical notation,

A number, n, is added to 15 less than 3 times itself. The result is 101.

So, 15 less than 3 times itself = 3n - 15

n, is added to = 3n - 15 + v

The result is 101 = 3n - 15 + v = 101

Therefore, the result is 3n - 15 + v = 101

Hence, the equation that can be used to find the value of n is 3n - 15 + n = 101

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