Which of the following are equivalent to 80 1/2

The exact value of tan(2arcsin(x)) is 2x / √(1 - x²), where |x| ≤ 1.

To find the exact value of tan(2arcsin(x)), we start by considering the definition of arcsin. Let θ = arcsin(x), where |x| ≤ 1. From the definition, we have sin(θ) = x.

Using the double angle identity for tangent, we have tan(2θ) = 2tan(θ) / (1 - tan²(θ)). Substituting θ = arcsin(x), we obtain tan(2arcsin(x)) = 2tan(arcsin(x)) / (1 - tan²(arcsin(x))).

Since sin(θ) = x, we can use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find cos(θ). Taking the square root of both sides, we have cos(θ) = √(1 - sin²(θ)) = √(1 - x²).

Now, we can determine the value of tan(arcsin(x)) using the definition of tangent. We know that tan(θ) = sin(θ) / cos(θ). Substituting sin(θ) = x and cos(θ) = √(1 - x²), we get tan(arcsin(x)) = x / √(1 - x²).

Finally, substituting this value into the expression for tan(2arcsin(x)), we obtain tan(2arcsin(x)) = 2x / (1 - x²).

Therefore, the exact value of tan(2arcsin(x)) is 2x / √(1 - x²), where |x| ≤ 1.

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Hey there!

\((2x-18)\)

To solve, we will need to factor 2x - 18.

\(2x-18\\2(x-9)\text{(ANSWER)}\)

Hope this helps!

\(\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}\)

Answer:

Whole Number

Integer x

Rational Number

Irrational Number x

Step-by-step explanation:

There are 273,028 people who live in the region.

To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density.

The area of a circle with radius r is given by the formula \(A = \pi r^2.\)Therefore, the area of the region with a 10-mile radius is:

\(A = \pi r^2 =\pi (10^2)\) = 100π square miles

The number of people who live in this region can be found by multiplying the area by the population density:

Number of people = Population density x Area

= 869 people/square mile x 100π square miles

= 86900π people

Using a calculator, we can approximate this to:

Number of people ≈ 273,028.4

Therefore, there are approximately 273,028 people who live in the region with a 10-mile radius and a population density of 869 people per square mile.

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Answer:

no

Step-by-step explanation:

you can cross-multiply and see if you get the same products

(2/1 ÷ 8/3) / (2/3 ÷ 6/1)

2/1 · 6/1 ≠ 8/3 · 2/3

12 ≠ 16/9

The intercepts of the line are (-3, 0) and (0, -6/5).

What is intercepts ?

In mathematics, intercepts refer to the points at which a line or curve intersects the x-axis or the y-axis of a coordinate plane.

To find the x-intercept, we need to set y = 0 and solve for x:

2x + 5(0) = -6

2x = -6

x = -3

Therefore, the x-intercept is (-3, 0).

To find the y-intercept, we need to set x = 0 and solve for y:

2(0) + 5y = -6

5y = -6

y = -6/5

Therefore, the y-intercept is (0, -6/5).

Thus, the intercepts of the line are (-3, 0) and (0, -6/5).

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Answer:

A comparison of 2 numbers is 8

Step-by-step explanation:

because 2*2*2=8

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!

Answer:

the answer is 77 please enjoy

Step-by-step explanation:

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

\( {h}^{2} = {p }^{2} + {b}^{2} \)

\( {13}^{2} \: = {12}^{2} + {b}^{2} \)

\( {b}^{2} = {13}^{2} - {12}^{2} \)

\( {b }^{2} = 169 - 144\)

\( {b}^{2} = 25/tex]

\(b = \sqrt{25} \)

\(b = 5\)

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Step-by-step explanation:

sometimes i just wanna kill my self for pOiNtS

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:40

Step-by-step explanation:

dividing 1200 by 600 is 2

so you would do the same for 80

The value of the given expression 6/(y-z) - 2/(y-z) is 4/(y-z). Option 3 is the correct answer.

In algebra, like terms are those in which the same variable(s) are raised to the same power (s). Because they both have the same variable (y) raised to the same power, the expressions 2xy and -5y are similar (1). When combining terms that have similar coefficients, it's important to preserve the exponent and variable constants.

The given expression is 6/(y-z) - 2/(y-z).

Simplifying the expression by combining the like terms we have:

(6 - 2)/(y-z) = 4/(y-z)

Hence, the value of the given expression is option 3 4/(y-z).

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Answer:

80 cents

Step-by-step explanation:

There are 12 in a dozen

5*12=60

48/60=.8

So, the answer is 80cents

Answer:

$.80 or 80 cents

Step-by-step explanation:

This is very simple, a dozen is 12 bagels, 12 multiplied by 5 is 60. Next, you'd simply divide, 48 divided by 60. You're answer would be $.80. Hope this helped :)

For x = 1.648, the functions f(x) and g(x) are equal.

A logarithmic function is the contrary of an exponential function.

Regarding the posed query;

f(x) = ㏒₃ 2x

g(x) = -4x² + 3x + 7

Desmos is used to create the graph for both of the functions.

The graph makes it obvious that both functions are equal at the point where the curves converge.

At x = 1.648, f(x) Equals g(x).

Therefore, again for value of x = 1.648, the functions f(x) and g(x) are equivalent.

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The equation of line b is y = -3x.

An equation is a mathematical statement that expresses the equality of two expressions. It is a representation of a relationship between two or more variables, and it can be written using symbols, numbers, and/or words. Equations are used to describe physical and chemical processes, to calculate unknown values, and to solve problems. Equations are fundamental to all areas of mathematics, science, engineering, and technology.

The equation of line b can be determined by finding the negative reciprocal of the slope of line a. The equation of line a is y = 1/3x + 3, which has a slope of 1/3.

Therefore, the slope of line b is the negative reciprocal of 1/3, which is -3. The equation of line b can be determined by using the slope-intercept form, y = mx + b. Substituting m = -3 and b = 0, the equation of line b is y = -3x + 0. Therefore, the equation of line b is y = -3x.

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Answer:

\(m\angle B\approx 80.27^\circ\text{ and } m\angle C\approx 59.73^\circ\)

Side AB measures approximately 20.15 units.

Step-by-step explanation:

We can use the Law of Sines, given by:

\(\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}\)

Since we already know ∠A and a, we can use it to determine our other measures.

We know that b is 23. Substitute:

\(\displaystyle \frac{\sin 40^\circ}{15}=\frac{\sin B}{23}\)

Solve for ∠B:

\(\displaystyle \sin B=\frac{23\sin 40^\circ}{15}\)

We can take the inverse sine of both sides:

\(\displaystyle m\angle B=\sin^{-1}\frac{23\sin 40^\circ}{15}\)

Use a calculator (make sure you're in Degrees mode!):

\(m\angle B\approx 80.27^\circ\)

The interior angles of a triangle must total 180°. Hence:

\(m\angle A+m\angle B+m\angle C=180^\circ\)

Substitute in known values:

\((40^\circ)+(80.27^\circ)+m\angle C=180^\circ\)

Therefore:

\(m\angle C\approx 59.73^\circ\)

Lastly, to find AB or c, we can use the Law of Cosines:

\(c^2=a^2+b^2-2ab\cos(C)\)

a = 15, b = 23, and to prevent rounding errors, we will use the exact value for C. Recall that we know that:

\(m\angle A+m\angle B+m\angle C=180^\circ\)

Using the exact value for ∠B, we acquire:

\(40^\circ+\displaystyle \sin^{-1}\frac{23\sin40^\circ}{15}+m\angle C=180^\circ\)

Therefore:

\(\displaystyle m\angle C=\left(140-\sin^{-1}\frac{23\sin40}{15}\right)^\circ\)

Substitute:

\(\displaystyle c^2=(15)^2+(23)^2-2(15)(23)\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)\)

Simplify and take the square root of both sides.

\(\displaystyle c=\sqrt{754-690\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)}\)

And use a calculator:

\(c\approx 20.15\)

Answer:

Hi! The person above is actually correct, just that it needed to be rounded to the nearest tenth. Check the picture for confirmation. Hope this helped <3

Step-by-step explanation:

The measure of angle B is approximately

80.3

The measure of angle C is approximately

59.7

The length of side AB is approximately

20.2

I got it correct on Edmentum/Plato

The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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The earnings on an $18,500 savings account vary based on the compounding frequency. Annual compounding yields the highest earnings of $232, followed by quarterly, monthly, and daily compounding with earnings of $17.22, $3.32, and $0.60 respectively.

To compute the earnings for the year on a savings account, we can use the formula for compound interest:

A = \(P(1 + r/n)^{(n\times t)}\)

Where:

A = the total amount (including the principal and earnings)

P = the principal amount (initial savings)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

Given:

P = $18,500

r = 1.2% = 0.012

(a) Annually:

n = 1 (compounded once a year)

t = 1 year

A = \(18,500(1 + 0.012/1)^{(1 \times 1)} - 18,500\)

= 18,500(1.012) - 18,500

= 18,732 - 18,500

= $232

The earnings for the year on an annual compounding basis are $232.

(b) Quarterly:

n = 4 (compounded four times a year)

t = 1 year

A = \(18,500(1 + 0.012/4)^{(4 \times 1)} - 18,500\)

= 18,500(1.003)⁽⁴⁾ - 18,500

= 18,517.22 - 18,500

= $17.22

The earnings for the year on a quarterly compounding basis are $17.22.

(c) Monthly:

n = 12 (compounded twelve times a year)

t = 1 year

A = \(18,500(1 + 0.012/12)^{(12 \times 1)} - 18,500\)

= 18,500(1.001)⁽¹²⁾ - 18,500

= 18,503.32 - 18,500

= $3.32

The earnings for the year on a monthly compounding basis are $3.32.

(d) Daily:

n = 365 (compounded daily)

t = 1 year

A = \(18,500(1 + 0.012/365)^{(365 \times 1)} - 18,500\)

= 18,500(1.00003287)⁽³⁶⁵⁾ - 18,500

= 18,500.60 - 18,500

= $0.60

The earnings for the year on a daily compounding basis are $0.60.

In conclusion, The earnings for the year on an $18,500 savings account depend on the compounding frequency. The earnings are highest when compounded annually ($232), followed by quarterly ($17.22), monthly ($3.32), and daily ($0.60).

The compounding frequency affects the frequency at which interest is added to the principal, resulting in different earnings over time. It is important to consider the compounding frequency when assessing the growth of savings and investments, as higher compounding frequencies can lead to greater overall earnings.

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The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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Answer:

I think

all the rectangle in the shape u have to find the area of the rectangle

55×55 for each rectangel \ l ×W

now do the squares

25×25 for each rectangle

now when u got all the sides add them up

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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Answer:

Step-by-step explanation:

The ratio of males to females at a gym is 4:5. There are 20 females at the gym. How many males are in the gym?​

4 : 5 = x : 20

x = 4 * 20 : 5

x = 16

---------------------

check

4 : 5 = 16 : 20

4 : 5 = 4 : 5

the answer is good

Answer:

Step-by-step explanation:

The answer is a,b, and e

This equation is in the form of y=Mx+b where b is the y intercept and m is the slope.

a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.; b. The turbine's power output is 353.86 kW.; c. The annual revenue generated is $185,925.60.

a. To calculate the power contained in the air swept by the 40-meter blades, we can use the formula for wind power: P = 0.5 × ρ × A × V^3, where P is power, ρ is air density, A is the swept area of the blades, and V is wind speed.

First, we need to find the swept area (A). Since the blades are 40 meters long, the area can be calculated as A = π × r^2, where r is the length of the blades (radius). A = π × (40)^2 = 5,026.55 m^2.

Now we can find the power contained in the air: P = 0.5 × 1.225 kg/m³ × 5,026.55 m^2 × (9 m/s)^3 = 1,769,292.45 watts.

b. If the turbine has an efficiency of 20%, its power output would be 20% of the energy contained in the wind: 0.2 × 1,769,292.45 watts = 353,858.49 watts or 353.86 kW.

c. To find the annual revenue, we first need to calculate the annual energy production in MWh: 353.86 kW × 24 hours × 365 days / 1,000 (to convert to MWh) = 3,098.76 MWh.

Now, multiply the energy production by the selling price: 3,098.76 MWh × $60/MWh = $185,925.60 in revenue per year.

In summary:
a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.
b. The turbine's power output is 353.86 kW.
c. The annual revenue generated is $185,925.60.

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Answer:

its b

Step-by-step explanation:

(9,-2)

Answer:

(9, -2)

Hope that helps!

Step-by-step explanation: