In ΔABC, m angle CAB = 60°, AD is the angle bisector of angle BAC with D∈BC and AD = 8ft. Find the distances from point D to the sides of the triangle. PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer

the answer is 13

Step-by-step explanation:

not 21, bro that one guy .. djxhfgbes

Answer:

20

Step-by-step explanation:

Answer: $4,914

Step-by-step explanation:

To calculate the final balance in Brandon's account, we need to use the formula for compound interest: A = P(1 + r/n)^(nt)

where A is the final balance, P is the initial investment, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, we have:

P = $11,000

r = 1% = 0.01

n = 4 (because the interest is compounded quarterly)

t = 20

so, A = $11,000(1 + 0.01/4)^(4*20) = $11,000(1.0025)^80 = $22,817.20

To calculate the final balance in Robert's account, we need to use the same formula, but with different values for r, n, and t.

In this case, we have:

P = $11,000

r = 13/100 = 0.13

n = 12 (because the interest is compounded monthly)

t = 20

so, A = $11,000(1 + 0.13/12)^(12*20) = $11,000(1.01083333)^240 = $27,731.34

To find the difference in the final balances, we subtract the final balance in Brandon's account from the final balance in Robert's account:

$27,731.34 - $22,817.20 = $4,914.14

To the nearest dollar, the difference is $4,914.

Answer:391

Step-by-step explanation:

Answer:

\(y=4x-6\)

Step-by-step explanation:

The slope is \(\frac{-2-2}{1-2}=4\).

\(y-2=4(x-2) \\ \\ y-2=4x-8 \\ \\ y=4x-6\)

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

\(First = 8\ marbles\)

\(Second = 8\ marbles\)

\(Third= 8\ marbles\)

\(Fourth = 8\ marbles\)

\(Fifth = 8\ marbles\)

Total number of ways is then calculated as:

\(Total = 8 * 8 * 8 * 8 * 8\)

\(Total = 32768\)

Answer:

3861444226895040

Step-by-step explanation:

You do not want to know.

Answer:

Given Equation

\( \bf \: 25 {x}^{2} - 64\)

we have to factorise the given equation .

We will use the following identity here

Let's factorise it

\(\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)\)

Therefore,

So, your answer is (5x+8) ( 5x-8)

It is not clear what we are supposed to solve for in the given expression. However, if we assume that we are supposed to solve for A in the equation:

73°(x + 42)(x + 79) = A

Then we can use the distributive property of multiplication to simplify the expression:

73°(x + 42)(x + 79) = A

73°(x^2 + 121x + 3321) = A

5323x^2 + 88333x + 242733 = A

Therefore, the solution for A is:

A = 5323x^2 + 88333x + 242733

Note that the value of A depends on the value of x, which is not given in the question.

To learn more about distributive property of multiplication refer below:

https://brainly.com/question/5766327

#SPJ11

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

Learn more about null hypothesis here:

https://brainly.com/question/29387900

#SPJ11

Step-by-step explanation:

by question we realize that f(x)=(x+4.5)(x+2.8)a

now we can realize that f(0)=37.8 which results a=3

hence the equation of parabola is f(x)=3(x+4.5)(x+2.8)

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

To solve more questions on spiral motion, visit the link below -

https://brainly.com/question/11020427

#SPJ2

Answer:

Step-by-step explanation:

Do you have any options or a graph?

Answer:

12 possible combinations

Step-by-step explanation:

the number of ways that we could choose at least two coins is equal to the number of combinations of coins that could be given from the set of coins that we have. there are twelve possible combinations of coins that we could give from these four coins:

penny + nickel

penny + dime

penny + quarter

nickel + dime

nickel + quarter

dime + quarter

penny, nickel, dime

penny, nickel, quarter

penny, dime, quarter

nickel, dime, quarter

penny, nickel, dime, quarter

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ12

The equation of line s is y + 7 = -7/6(x - 7).

What is slope of a line?

A line's steepness and direction are measured by the line's slope. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates,  Δy, Δx respectively. Consequently, it is possible to write the change in y coordinate with respect to the change in x coordinate as m = Δy/Δx

Given equation of line r is y = 6/7x+1.

The slope of line r is m = 6/7

The slope of the line that is perpendicular to line r is -1/m = - 7/6.

The equation of line that passes through the point (x₁, y₁) with slope m is y - y₁ = m(x - x₁).

Putting m = - 7/6, x₁ = 7 and y₁ = -7 in y - y₁ = m(x - x₁):

y - (-7) = - 7/6(x - 7)

y + 7 = - 7/6(x - 7)

To learn more about slope point form of a line, click on below link:

https://brainly.com/question/25312057

#SPJ1

Answer: THE ANSWER IS C

Step-by-step explanation:

the role of auditor is in management skill.

What is accounting?

Accounting, conjointly referred to as business, is that the activity, processing, and communication monetary|of monetary|of economic} and non financial data concerning economic entities like businesses and companies.

Main body:

The role of the auditor or reviewer is to relinquish knowledgeable and freelance on these monetary statements. The review or audit of associate association’s monetary report will guarantee larger responsible to the members and supply associate assurance that every one funds received by the organisation are properly accounted for.

therefore the role of auditor is in management skill.

to know more about accounting , click on the link below

https://brainly.com/question/1033546

#SPJ4

The limit or state that it does not exist 1/14. An output value that a function approaches for the specified input values is referred to as a limit.

A product's limit is equal to the product of its limits. A quotient's limit is the same as the quotient of its limits. A constant function's limit is the same as the constant. Limit, a closeness-based mathematical notion, is largely used to give values to some functions at locations where none are defined, in a manner that is consistent with neighboring values. A limit is a boundary, the greatest amount of something, or the extent to which something can go. These are some examples of Limitations applications: Measuring the strength of the magnetic field, electric field, etc., is helpful.

Using L' hopital rule.

Taking the derivative of numerator and denominator.

limit at x → 0 \(\frac{\frac{1}{2}(49+x)^{\frac{1}{2}}}{1}\)

\(=\frac{1}{2}(49+0)^{\frac{1}{2}}\)

\(=\frac{1}{2}(49)^{\frac{1}{2}}\)

\(=\frac{1}{2}(7)\)

\(=\frac{1}{14}\)

Learn more about limit here

https://brainly.com/question/23935467

#SPJ4

The limit of √(49 + h) - 7 / h as h approaches 0 is 1/14. The expression can be simplified by multiplying the numerator and denominator by the conjugate of the numerator.

The given expression is:

√(49 + h) - 7 / h

We can simplify this expression by multiplying the numerator and denominator by the conjugate of the numerator:

(√(49 + h) - 7) * (√(49 + h) + 7) / (h * (√(49 + h) + 7))

= (49 + h - 49) / (h * (√(49 + h) + 7))

= h / (h * (√(49 + h) + 7))

= 1 / (√(49 + h) + 7)

As h approaches 0, the denominator of this expression approaches √49 + 7 = 14, and the numerator approaches √49 - 7 = 0. Therefore, the limit of the expression as h approaches 0 exists and is equal to:

1 / 14

Thus, lim h→0 √(49 + h) - 7 / h = 1/14.

Learn more about algebraic manipulation here: brainly.com/question/28931249

#SPJ4

Hence C(A+3B) is a 2x2 matrix, which is the answer for the given question. Therefore, the correct option is ○a 2×2 matrix.

Let A,B be 2×5 matrices, and C a 5×2 matrix. Then C(A+3B) is a 2×2 matrix. Given that A,B be 2×5 matrices, and C a 5×2 matrix. Then C(A+3B) is calculated as follows: C(A+3B) = CA + 3CBFor matrix multiplication to be defined, the number of columns of the first matrix should be equal to the number of rows of the second matrix.
So the product of CA will be a 2x2 matrix, and the product of 3CB will also be a 2x2 matrix. Hence C(A+3B) is a 2x2 matrix is the  answer for the given question. Therefore, the correct option is ○a 2×2 matrix.

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

The order of C(A+3B) is  2x2 . Thus the resultant matrix will have 2 rows and 2 columns .

Given,

A,B be 2×5 matrices, and C a 5×2 matrix.

Here,

C(A+3B) is calculated as follows:

C(A+3B) = CA + 3CB

For matrix multiplication to be defined, the number of columns of the first matrix should be equal to the number of rows of the second matrix.

So the product of CA will be a 2x2 matrix, and the product of 3CB will also be a 2x2 matrix. Hence C(A+3B) is a 2x2 matrix is the  answer for the given question.

Therefore, the correct option is A :  2×2 matrix.

To know more about matrix visit:

brainly.com/question/29132693

#SPJ4

Answer:

(0,-18)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

82 degrees

Step-by-step explanation:

sum of the angles of the triangle = 180 °

first angle is 41°

second one is : 180-123 = 57°

then the measure of the missing angle(x)  is : 57+41 +x = 180

x= 180-98 = 82°

Answer:

Option (6)

Step-by-step explanation:

By applying sine rule the given triangle XYZ,

sin(X) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Measure of opposite side (XY) = 12

Measure of Hypotenuse (XZ) = 37

By substituting these values in the given expression,

sin(X) = \(\frac{12}{37}\)

Therefore, Option (6) will be the correct option

Answer:

what do you mean by this I don't get it

Answer:

d

Step-by-step explanation:

the length is how many units greater than twice the width ?

you skipped that information from us.

so, all we can say

length = 2×width + x

the perimeter is

2×length + 2×width

with width = w we get by using the first equating in the second :

2×(2×w + x) + 2×w = 4w +2x + 2w = 6w + 2x

so the right answer must be d.

it is the only option with "6w".

it means that 2x = 5 and x = 2.5.

so it was that the length is 2.5 units greater than twice the width

Given the curve, x = t² + 1 and y = 8 + t; t = -1/4 + t' and y = √√4+t, we have to find an equation of the tangent to the curve at the point corresponding to the given value of the parameter, x = 3.As x = t² + 1, we have t² = x - 1. Using this, we get y = 8 + t = 8 + √(x - 1).

Differentiating both sides with respect to x, we get `dy/dx = 1/(2√(x-1))`Substituting x = 3, we get `dy/dx = 1/(2√2)`Hence, the slope of the tangent is `m = dy/dx = 1/(2√2)`.

Now, to find the equation of the tangent, we have to find the value of y at x = 3. We know that y = 8 + t = 8 + √(x - 1).

So, y = 8 + √2.So, the point on the curve is (3, 8 + √2).

Using the slope-point form of the equation of the tangent, we get the required equation of the tangent as: `y - (8 + √2) = m(x - 3)`.

On simplification, this becomes: `y = 2x - 6√2 + 8 + √2`.To find the values of t for which the curve is concave upward, we have to find the second derivative `d²y/dx²`.

Now, `d²y/dx² = d/dx(dy/dx)`.Differentiating `dy/dx = 1/(2√(x-1))` with respect to x, we get: `d²y/dx² = -1/(4(x-1)^(3/2))`.So, `d²y/dx² < 0` for all values of x > 1. Hence, the given curve is concave upward for all values of t.

Therefore, the interval notation is `(-∞, ∞)`.

Equation of the tangent at x = 3 is `y = 2x - 6√2 + 8 + √2`.The curve is concave upward for all values of t, so the interval notation is `(-∞, ∞)`.

To know more about parameter visit:

brainly.com/question/32717771

#SPJ11

Answer:

\(y = \frac{1}{5} x + 1\)

Step-by-step explanation:

the general equation of a line is y=mx+c

because the slop is 1/5, the equation of this line would be

\(y = \frac{1}{5} x + c\)

with the coordinates (20,5) , take 20=x and 5=y

and substitute these values into the equation above.

you should get:

5= 4 + c

so c = 1

therefore, the equation of the line is:

\(y = \frac{1}{5} x + 1\)

Based on the information provided, it would be appropriate to run a proportion test to see if less than 10% of people don't enjoy eating ice cream. The appropriate answer choice would be: since our sample size is 80, which is greater than 30, the central limit theorem applies, and the test is appropriate. The correct answer is C).

The central limit theorem states that as the sample size increases, the distribution of the sample means becomes more normal, regardless of the distribution of the original population.

In this case, with a sample size of 80, the central limit theorem applies, and we can approximate the sampling distribution of the proportion of people who do not enjoy eating ice cream with a normal distribution. So, the correct option is C).

To know more about central limit theorem:

https://brainly.com/question/18403552

#SPJ4

Answer: The correct answer is C. It represents a function only.

A function is a special type of relation where each input value is associated with only one output value. In other words, for every x in the domain of the function, there is only one corresponding y in the range.

In this equation, y = 2^x + 4, for every value of x, there is a unique corresponding value of y. So, it satisfies the requirement of a function and represents a function only.

Step-by-step explanation:

Answer:

D. It represents both a relation and a function

Hope this helps!

Step-by-step explanation:

All functions are relations, but not all relations are functions. The equation given is an Exponential function.