In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.

Answer:

For you to get the complement of 42 degrees, subtract 42 degrees from 90 degrees. 48 degrees is the complement of 42 degrees.The complement of 42° is the angle that when added to 42°forms a right (angla 90°).90°−42.

Step-by-step explanation:

hope this helps if not let me now

Answer:

A

Step-by-step explanation:

sub each value into x,the value is the minutes,that is, 1,2,3,....and so on to get the answer (gallons of water)

Answer:

∠3=∠159°

∠2=∠4=180-159=21°

∠1=180-21=159°

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The remaining eigenvalue is λ = -0.007. Thus, the eigenvalues of A are:
X1 = 0
X2 = 0
X3 = -0.007
Arranging them in ascending order, we get:
X1 = -0.007
X2 = 0
X3 = 0

To find the characteristic polynomial of A, we first need to compute the determinant of (A - λI), where I is the identity matrix and λ is a scalar variable:

|0-λ  0.00 0.007|
|0.00 0-λ  0.00 |
|0.00 0.00 0-λ  |

Expanding along the first row, we get:

(0-λ) |0-λ  0.00| - 0.00 |0.00 0-λ | + 0.007 |0.0 0.00|
       |0.00 0-λ |            |0.0 0.00|                 |0.00 0-λ |

Simplifying, we obtain:

-λ³ + (-0.007)λ² = 0

Factoring out λ², we get:

λ²(-λ - 0.007) = 0

Therefore, the characteristic polynomial of A is:

p(A) = λ³ + 0.007λ²

To find the eigenvalues of A, we need to solve the equation p(A) = 0. We can see that one of the roots is λ = 0, which has multiplicity 2 (since it appears as a factor of λ² in the characteristic polynomial). To find the third eigenvalue, we need to solve:

λ³ + 0.007λ² = 0

Factoring out λ² again, we obtain:

λ²(λ + 0.007) = 0

Therefore, the remaining eigenvalue is λ = -0.007. Thus, the eigenvalues of A are:

X1 = 0
X2 = 0
X3 = -0.007

Arranging them in ascending order, we get:

X1 = -0.007
X2 = 0
X3 = 0

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Answer:

x=1

Step-by-step explanation:

Answer:

x=37

Angle P: 65 degrees

Angle Q: 78 degrees

Angle R: 37 degrees

Step-by-step explanation:

sum of all three angles of a triangle always equal 180 degrees

So we can add these and set it equal to 180

2x-9+2x+4+x=180

5x-5=180

   +5. +5

5x=185

/5.   /5

x=37

So now to find each  angle we just fill in X

Angle p: 2x-9

2(37)-9

74-9

Angle P is 65 degrees

Angle Q: 2x+4

2(37)+4

74+4

Angle Q is 78 degrees

And since angle r is just x and we already know X=37 then

Angle r is 37 degrees

Hopes this helps please mark brainliest

To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.

The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.

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Answer:

not sure

Step-by-step explanation:

but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)

Answer:

c

Step-by-step explanation:

Theorem 1 states that for all integers a, b, c, x, and y, if ab and ac, then a (bx + cy). We need to prove it.

Step 1: Assume that ab and ac.

Step 2: Since ab, we know that a is a factor of b.

Step 3: Therefore, we can write b = ad for some integer d.

Step 4: Similarly, since ac, we know that a is a factor of c.

We can write c = ae for some integer e.

Step 5: Substituting b and c in the given equation, we get bx + cy = adx + aey = a(dx + ey).

Step 6: Since d and e are integers, dx + ey is also an integer.

Step 7: Therefore, we can write bx + cy = am, where m is an integer.

Step 8: Thus, a is a factor of bx + cy, which is what we wanted to prove.

Now let's move onto the second part of the question.

To prove: For all x ER*, if x is irrational, then √x is irrational.

Contrapositive: For all x ER*, if √x is rational, then x is rational.

Step 1: Assume that √x is rational.

Step 2: Then we can write √x = a/b, where a and b are integers and b ≠ 0.

Step 3: Squaring both sides, we get x = a²/b².

Step 4: Since a and b are integers, a² and b² are also integers.

Step 5: Thus, x can be written as a quotient of two integers and is therefore rational by definition.

Step 6: Therefore, if √x is rational, then x is rational, which is what we wanted to prove.

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The median of the distribution is x = 10.

To find the median of the distribution with pdf f(x) =5/x^2, x>=5, we need to find the value of x that splits the area under the curve in half. In other words, we need to find the value of x such that:

∫[5, x] f(t) dt = 1/2

Integrating the pdf f(x) gives:

F(x) = -5/x + C

We can find C by using the fact that F(∞) = 1:

F(∞) = -5/∞ + C = 1

which implies that C = 1. Therefore, we have:

F(x) = 1 - 5/x

Now, we can solve for the median x by setting F(x) = 1/2 and solving for x:

1 - 5/x = 1/2

5/x = 1/2

x = 10

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Answer:

Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.

Answer: A) The ordered pairs must lie near the graphed equation

Two real-world situations that can be modeled using parametric functions are projectile motion and planetary motion.

These scenarios share the characteristic of objects moving in a specific path or trajectory over time. When choosing real-world scenarios to be modeled, we look for situations where the motion or behavior can be described by multiple variables that depend on a common parameter, such as time.

To verify that these scenarios can be modeled by parametric functions, we analyze the motion or behavior of the objects involved, identify the variables that govern their movement, and express those variables as functions of a parameter, typically time.

Projectile Motion: In this scenario, an object is launched into the air and moves along a parabolic trajectory under the influence of gravity. The horizontal and vertical positions of the object can be modeled using parametric functions, where the parameter is time. The x-coordinate and y-coordinate of the object can be expressed as functions of time, allowing us to track its position at any given moment. By considering the initial conditions, such as the initial velocity and launch angle, we can determine the parametric equations that accurately describe the object's motion.

Planetary Motion: Planetary motion refers to the movement of planets around the sun or satellites around a planet. The path followed by a planet or satellite can be modeled using parametric functions, where the parameter is time. The position of the planet or satellite can be expressed in terms of its distance from a reference point (such as the sun) and its angular position. By determining the parametric equations that describe the radial distance and angular position as functions of time, we can simulate and predict the motion of celestial bodies.

In both scenarios, the common characteristic is the dependence of the object's position or motion on a parameter, typically time. Parametric functions allow us to express the variables governing the motion as functions of this parameter. To verify that these scenarios can be modeled using parametric functions, we analyze the underlying principles governing the motion, such as the laws of physics, and identify the variables that change over time. By formulating equations that describe these variables as functions of time, we can mathematically represent the real-world scenarios using parametric functions.

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Answer:26 retart

Step-by-step explanation:

Answer:

the range is 10

Step-by-step explanation:

70 is the highest and 60 is the lowest

70-60=10

Answer:

Step-by-step explanation: If Nina fills 10 bags, each with 3 treats, she would have a total of 30 treats (10 bags x 3 treats per bag). If she fills 20 bags, she would have 60 treats (20 bags x 3 treats per bag). If she fills 30 bags, she would have 90 treats (30 bags x 3 treats per bag). Since she only has 78 treats, she can fill between 10 and 20 bags, but not more than 20 bags.

If she fills 10 bags, she would use 30 treats, leaving her with 48 treats. If she fills 11 bags, she would use 33 treats, leaving her with 45 treats, which is not enough to fill another bag. Therefore, she can fill fewer than 11 bags, but not more than 20 bags.

Answer:

Step-by-step explanation:

Let the speed of plane is p and speed of the wind is w.

Then we have:

Sum the two equations and solve for p:

Find w:

the critical load of the round wooden dowel is determined by using the Euler buckling formula, which is given by:

P_cr = (π^2 * E * I) / L^2

Where P_cr is the critical load, E is the modulus of elasticity (given as 12 GPa), I is the area moment of inertia (for a round wooden dowel it is π*d^4/64), and L is the length of the dowel (given as 0.75 m). Substituting these values, we get:

P_cr = (π^2 * 12e9 * π*(10/1000)^4/64) / (0.75^2)

P_cr = 91.34 N

Therefore, the critical load of the round wooden dowel is 91.34 N.

In explanation, the Euler buckling formula is used to determine the critical load of slender columns or rods that are subjected to compressive forces. The formula takes into account the modulus of elasticity of the material, the length of the column, and the area moment of inertia of the cross-section. The critical load is the maximum load that the column can withstand without buckling or collapsing under compressive forces.

the critical load of the round wooden dowel with a diameter of 10 mm and a length of 0.75 m is 91.34 N, which is the maximum load that the dowel can withstand without buckling or collapsing under compressive forces.

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Answer:

14C

15b

16c

17b

Step-by-step explanation:

tama yan good luck

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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The binomial distribution characteristic that each evening has the same probability of being fully booked is most likely not accurate when defining a discrete random variable as the number of evenings that a restaurant is fully booked with reservations out of a 30-day month.

What is binomial distribution?

A binomial distribution is a discrete probability distribution used to calculate the probability of an event occurring a certain number of times over a specified number of trials when the event only has two possible outcomes. A binomial distribution's key components include the number of trials, the probability of success, and the number of successful results.

A binomial distribution has the following characteristics:

Each trial is independent.

Two outcomes are possible per trial (success or failure).

The likelihood of success on any given trial is constant.

The number of trials is constant.

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Answer:

x=13/4 or -1

Step-by-step explanation:

factorize the fraction

(4x^2+4x)(-13x-13)

4x(x+1) -13(x+1)

(4x-13)(x+1)

x=13/4 or x=1

I guess

Answer:

The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

Answer:

x=-6/b

x=-2

Step-by-step explanation:

-2(bx - 5) = 16

-2bx+10=16

bx=-6

x=-6/b

------

x==-6/3

x=-2

Answer:

The value of x in terms of b is -6/b

The value of x when b is 3 is​ -1

Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

\(\frac{4.8}{1} =\frac{x}{25} \\\)

Then cross multiply (multiply 4.8 by 25 and x by 1)

\(4.8(25) = x(1)\\120 = x\)

The company currently has 4,400 customers paying $90 each month, and a reduction of $1 in price attracts 50 new customers. We need to determine the price that maximizes the company's revenue.

To find the price that maximizes revenue, we need to consider the relationship between price, number of customers, and revenue.Let's denote the price as "p" (in dollars) and the number of customers as "n." The revenue "R" can be calculated as the product of price and the number of customers:

R = p * n

Given that each $1 reduction in price attracts 50 new customers, we can express the relationship between price and number of customers as:

n = 4,400 + 50 * (90 - p)

Substituting this expression for "n" into the revenue equation, we get:

R = p * (4,400 + 50 * (90 - p))

To find the price that yields maximum revenue, we need to find the value of "p" that maximizes the revenue function. This can be done by finding the derivative of the revenue function with respect to "p" and setting it equal to zero. Solving this equation will give us the price that maximizes revenue.

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Answer:

x = 29

Step-by-step explanation:

x +(-21)=8

x = 8 + 21

x = 29

In a convex hexagon, if the area of the hexagonal region is 2116 (√2 + 1), then the value of AB is 46.

A convex hexagon is a hexagon in which all of the inner angles and all of the vertices have to be smaller than 180 degrees. There are both regular and irregular convex hexagons. Inside a convex hexagon, there are no angles. More specifically, no internal angle will exceed 180 degrees. Any internal angle which exceeds 180 degrees is concave.

Let the side length be x.

So, the diagonal BF = √(AB^2 + A F^2) = √(x^2 + x^2) = x√2.

Then, the areas of the triangles AFB and CDE in total equals (x^2 / 2) * 2, and the area of the rectangle BCEF equals x * x√2 = x^2 √2.

Now, let the equation be:

2116 (√2 + 1) = x^2√2 + x^2

And by simplifying the above equation, we will get:

2116 (√2 + 1) = x^2 (√2 + 1)

2116 = x^2

By taking root both sides, then it will be:

x = 46

Hence, the value of AB is 46.

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Although part of your question is missing, you might be referring to this full question: In a convex hexagon ABCDEF, all six sides are congruent, ∠A and ∠D are right angles. And ∠B, ∠C, ∠E and ∠F are congruent. The area of the hexagonal region is 2116 (√2 + 1). Find AB.

Answer:

4 + - 0.50 = 3.50

Step-by-step explanation:

-6 +10 = 4

-0.75 + 0.25 = - 0.50

Answer:

(6,3)

Step-by-step explanation:

x+3y=15

6+3×3=15

6+9=15

15=15

again

4x+2y=30

4×6+2×3=30

24+6=30

30=30

Hence the answer is (6,3)

Answer:

C.) 4,3

Step-by-step explanation:

The given system of equations is:

x + 3y = 15

4x + 2y = 30

The first equation can be rewritten as:

y = (15 - x)/3

Substituting this expression for y into the second equation gives:

4x + 2((15 - x)/3) = 30

Solving for x, we get:

x = 4

Substituting this value of x back into the first equation gives:

y = (15 - 4)/3 = 3

Therefore, the solution to the system of equations is (4,3).

Answer:

y-2=2(x-12)

the alternative is

y+3=2(x-2)

Step-by-step explanation: