what type of angle is ABC help​

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

Answer:

Probably D ( -√15-1/1-√15)

Step-by-step explanation:

it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else.  I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

read below

Step-by-step explanation:

the answer is 56

brainliest me:))))

Answer:

Step-by-step explanation:

As in Binomial theorem :-

\( = {(4t - 3)}^{5} \)

\(= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5} \)

\(= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243\)

\(= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243\)

Hence, the required answer is :-

\({1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243\)

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:

5. Obtuse

6. Right

7. Acute

Step-by-step explanation:

5. 5,12,15

The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.

6. 6,8,10

The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.

7. 12,10,13

The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.

Answer:

down+down, up+down, down+up, up+up

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correlation coefficient between age and hourly wage for the given data set is approximately 0.355, rounded to three decimal places.

To calculate the correlation coefficient, we can use statistical software or tools like Excel, Python, or R. Using technology, we input the values of age and hourly wage into the software or tool. By performing the correlation calculation, we obtain the correlation coefficient, which measures the strength and direction of the relationship between the two variables.

For the given data set, the age values are 35, 47, 62, 19, 26, 22, 45, 53, 49, and 33, while the corresponding hourly wage values are $16.30, $17.95, $26.80, $11.95, $10.10, $13.40, $21.30, $45.00, $35.00, and $14.50. After performing the correlation calculation using technology, we find that the correlation coefficient between age and hourly wage is approximately 0.355. This value indicates a positive but weak correlation between age and hourly wage.

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The length of GH is 21 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

HI * GI = JI * KI

Since KJ is 5 more than GH, we can say:

KJ = GH + 5

KI = KJ + JI

KI = GH + 5 + 46 = GH + 51

From the figure:

GI = GH + HI

Substituting into:

HI * GI = JI * KI

HI * (GH + HI) = JI * (GH + 51)

48 * (GH + 48) = 46 * (GH + 51)

48GH + 2304 = 46GH + 2346

48GH - 46GH =  2346 - 2304

2GH = 42

GH = 42/2

GH = 21 units

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Complete Question

Check attached image

To solve this expression, we need to follow the order of operations, which is commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).

Using PEMDAS, we first simplify the expression inside the parentheses:

-3 + 9 = 6

The expression now becomes:

8 + 22 * 6 ÷ 3

Next, we perform the multiplication and division, starting from left to right:

22 * 6 = 132

132 ÷ 3 = 44

Substituting these values, we get:

8 + 44

Finally, we perform the addition:

8 + 44 = 52

Therefore, the value of the expression 8 + 22(-3 + 9) ÷ 3 is 52.

So, the answer is not one of the options provided.

Answer: None of your options?

your answer is 52

Answer:

\(y+7=-\dfrac23(x-1)\)

Step-by-step explanation:

Use the point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)

where:

Given:

Substitute the given values into the formula:

\(\implies y-(-7)=-\dfrac23(x-1)\)

\(\implies y+7=-\dfrac23(x-1)\)

The expression equivalent to the phrase "Three times the quantity five less than x, divided by the product of six and x" is option C: (3(x-5))/(6x).

The given phrase can be broken down into two parts: "Three times the quantity five less than x" and "divided by the product of six and x."

The expression "Three times the quantity five less than x" can be written as 3(x-5), where x-5 represents "five less than x" and multiplying it by 3 gives three times that quantity.

The expression "divided by the product of six and x" can be written as (6x)^(-1) or 1/(6x), which means dividing by the product of six and x.

Combining both parts, we get (3(x-5))/(6x), which is equivalent to the original phrase. Therefore, option C: (3(x-5))/(6x) is the correct expression equivalent to the given phrase.

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To vertically translate the equation y = 2x - 1 by 3 units down, we subtract 3 from the constant term. The correct equation is y = 2x - 4 (option d).

The equation y = 2x - 1 represents the original function. To find the equation for a vertical translation of 3 units down, we need to subtract 3 from the original equation.
So, the equation for a vertical translation of 3 units down is y = 2x - 1 - 3, which simplifies to y = 2x - 4.
Therefore, the correct answer is d. y = 2x - 4.
To understand this better, let's break it down step by step:
1. Start with the original equation y = 2x - 1.
2. To move the graph 3 units down, we need to subtract 3 from the equation.
3. Subtracting 3 from -1 gives us -4, so the new equation becomes y = 2x - 4.
4. This new equation represents a vertical translation of 3 units down from the original graph.
5. Therefore, option d. y = 2x - 4 is the correct answer.
when dealing with vertical translations, we add or subtract values to the constant term (in this case, -1) to achieve the desired shift.

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Answer:

The slope(M) is -6

Step-by-step explanation:

:)

The probability that an arriving call will be routed by the voicemail system is given by\(P(Y = 0) = e^(-0.1067) * 0.1067^0 / 0! = 0.8982,\)rounded to four decimal places.

Since phone calls arrive at a rate of 16 per hour, the arrival rate of calls in minutes is 16/60 = 0.2667 calls per minute. We can model the arrival rate of calls as a Poisson distribution with parameter λ = 0.2667.

The time for the voicemail system to route a call follows an exponential distribution with a mean of 2.5 minutes. Let X be the time it takes to route a call. Then X follows an exponential distribution with parameter μ = 1/2.5 = 0.4.

We want to find the probability that an arriving call will be routed by the voicemail system. This is equivalent to finding the probability that there are no calls being routed by the voicemail system when a call arrives. Let Y be the number of calls being routed by the voicemail system. Then Y follows a Poisson distribution with parameter λμ = 0.2667 x 0.4 = 0.1067.

Therefore, the probability that an arriving call will be routed by the voicemail system is given by

\(P(Y = 0) = e^(-0.1067) * 0.1067^0 / 0! = 0.8982,\)  rounded to four decimal places.

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The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.

To give you a general idea of how to approach this problem, follow these steps:

1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.

If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.

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The predicted gain (or loss) from a single trial is 53 cents per game on average.

A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.

E(X) = 1(18/38) – 1 (20/38) = -$.053

On average, the casino wins  5 cents for each game.

If the stakes are raised, the casino makes even more money:

E(X) = 10(18/38) – 10 (20/38) = -$.53

If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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The angle of elevation of the sun is, 36.7 degree.

What is angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Given: A 82-ft tree casts a shadow that is 110 ft long.

So, by using the tangent ratio,

tanθ = 82/110

Apply tan^(-1) on both sides, we get

So, θ = \(tan^-^1(\frac{82}{110} )\)

θ = 36.7 degree.

Therefore, when a 82-ft tree casts a shadow that is 110 ft long, the angle of elevation of the sun is 36.7 degree.

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\(\frac{256}{3} Pi\)

Answer:

i do not understand what youre asking

Step-by-step explanation:

see^^^^^

Answer:

2,3,4

Step-by-step explanation:

The percent error for the organizers estimate of people who would attend as required is; 20%.

It follows from the task content that the percent error for the organizers estimate is to be determined as required.

As evident in the task content; the organizers estimate is; 1200 while only 960 people actually attended.

Therefore, the error associated which the estimation when expressed as a percentage is;

percent error = { ( 1200 - 960 ) / 1200 } × 100%

Percent error = ( 240 / 1200 ) × 100%

Percent error = 0.2 × 100%

= 20%.

On this note, the required percent error is; 20%.

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Answer:

ITS 25%

Step-by-step explanation:

Answer: B and D

Step-by-step explanation:

B.)   -4 x (-3) x 2

       -4 x (-3) = 12 x 2 = 24

D.   -1 x 1 x (-1)

     -1 x 1 = -1 x (-1) = 1

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1