What is the domain of y = sec(x)? All real numbers
All real numbers except npi+pi/2, where n is any integer
All real numbers except not, where n is any integer
All real number except npi and npi+pi/2, where n is any integer

The sum of opposite interior angles of a triangle is equal to the exterior angle.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. The sum of interior angles of a triangle is 180°

The exterior angle theorem states that the sum of opposite interior angle is equal to the exterior angle.

If angle A,B, C are the interior angle of a triangle,and angle D is exterior angle adjascent to C.

Then A+ B + C = 180

C = 180-(A+B)

Also;

C+D = 180

C = 180-D

therefore we can say D = A+B

learn more about exterior angle of theorem from

https://brainly.com/question/17307144

#SPJ1

Answer:

the answer to the first one is \(20\sqrt7\) and the answer to the second one is i think the first one??

hope this helped...

The y component of vector C⃗ can be expressed as y = C * sin(ϕ), where C is the length of vector C⃗ and ϕ is the angle it makes with the x-axis.

To express the y component of vector C⃗ in terms of its length C and the angle ϕ it makes with the x-axis, we can use trigonometry.

The y component can be found using the formula:

y = C * sin(ϕ)

In this equation, C represents the length of vector C⃗ and ϕ represents the angle it makes with the x-axis. By multiplying the length C by the sine of the angle ϕ, we can determine the y component of vector C⃗.

Learn more about vector here:

https://brainly.com/question/17016695

#SPJ11

The complete question is:

We begin by finding the y component of C⃗ C→C_vec from its length and the angle it makes with the x axis, that is, from geometry.

Express the y component of C⃗ C→C_vec in terms of CCC and ϕϕphi.

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

Read more about angles at

https://brainly.com/question/28293784

#SPJ1

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

The probability of having 2 trucks with no violations, 2 with 1 violation, and 3 with 2 or more violations when 7 trucks are inspected are approximately 0.041 (rounded to three decimal places).

To find the probability of this specific situation, we can use the multinomial probability formula:
P(X) = (n! / (x1! × x2! × ... × xn!)) × (p1^x1) × (p2^x2) × ... × (pn^xn)
In this case:
- n = 7 (total number of trailer trucks)
- x1 = 2 (trucks with no violations)
- x2 = 2 (trucks with 1 violation)
- x3 = 3 (trucks with 2 or more violations)
- p1 = 0.1 (probability of no violations)
- p2 = 0.3 (probability of 1 violation)
- p3 = 0.6 (probability of 2 or more violations)
Now we plug in the values:
P(X) = (7! / (2! × 2! × 3!)) × (0.1^2) × (0.3²) × (0.6³)
P(X) = (5040 / (2 × 2 × 6)) × (0.01) × (0.09) × (0.216)
P(X) = (210) × (0.01) × (0.09) × (0.216)
P(X) ≈ 0.040788

Learn more about probability here:

https://brainly.com/question/25790854

#SPJ11

The total mass flow rate m in pipe 1 and pipes 3 is calculated as follows:
m = ρAv

The average velocity v in pipes 1 and 3 is calculated as follows:
v = Q/A

The mass velocity G in pipe 1 is calculated as follows:
G = ρv

where:
- m is the mass flow rate
- ρ is the density of the petroleum crude oil
- A is the cross-sectional area of the pipe
- v is the average velocity of the fluid
- Q is the volumetric flow rate
- G is the mass velocity

To calculate the total mass flow rate m in pipes 1 and 3, we need to determine the cross-sectional areas of these pipes. Given that pipe 1 has a nominal size of 2 inches, we can use the standard pipe dimensions to find its actual inner diameter. Using this diameter, we can calculate the cross-sectional area of pipe 1. Similarly, we can do the same for pipe 3, which has a nominal size of 1 inch. Once we have the cross-sectional areas, we can use the formula m = ρAv to find the mass flow rates in these pipes.

To calculate the average velocity v in pipes 1 and 3, we need to know the volumetric flow rate Q. Given that the flow divides equally among the three pipes, we can divide the total volumetric flow rate by 3 to get the flow rate in each pipe. Then, using the cross-sectional areas of the pipes, we can use the formula v = Q/A to find the average velocities.

Finally, to calculate the mass velocity G in pipe 1, we can use the formula G = ρv, where ρ is the density of the petroleum crude oil and v is the average velocity in pipe 1.

By plugging in the given values and performing the calculations, we can find the total mass flow rate m, average velocities v, and mass velocity G in pipes 1 and 3.

Know more about mass flow rate here:

https://brainly.com/question/30763861

#SPJ11

Answer:

\(y=2x-6\)

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

\(d_1=\sqrt{(x-2)^2+(y-3)^2}\)

The distance d2 from (x,y) to (6,1) is:

\(d_2=\sqrt{(x-6)^2+(y-1)^2}\)

Since d1=d2:

\(\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}\)

Squaring both sides:

\((x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2\)

Operating:

\(x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1\)

Simplifying all the squares:

\(-4x+4x+4-6y+9=-12x+36-2y+1\)

Moving the variables to the left side and the numbers to the right side:

\(-4x+12x-6y+2y=36+1-4-9\)

Simplifying:

\(8x-4y=24\)

Dividing by 4:

\(2x-y=6\)

Or, equivalently:

\(\boxed{y=2x-6}\)

There are 3 oz of pure acid in 20 oz of a 15% acid solution. To find the amount of pure acid in the 20 oz solution, we need to calculate 15% of the solution.

A 15% acid solution means that 15% of the total volume is pure acid. To calculate the amount of pure acid in the solution, we multiply the total volume by the decimal representation of the percentage.

In this case, the percentage is 15% or 0.15 as a decimal. Multiplying 0.15 by 20 oz gives us the amount of pure acid in the solution: 0.15 * 20 oz = 3 oz.

Therefore, there are 3 oz of pure acid in the 20 oz solution.

To learn more about pure acid, refer:-

https://brainly.com/question/29032274

#SPJ11

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

\(x = 10\)

Step-by-step explanation:

\(8(x−1)=6(x+2)\)

\(8x−8=6(x+2)\)

\(8x−8=6x + 12\)

\(2x−8=12\)

\(2x=12+8\)

\(2x=20\)

\(x = 10\)

Answer: yesterdays price was $700

Step-by-step explanation:

$497 = 71% of the RP (100 - 29)

RP*0.71 = 497

RP = 497/0.71

RP = $700

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

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

To know more about average visit:

https://brainly.com/question/897199

#SPJ11

To find the slope intercept form, solve the equation for y.

Solve the equation for x:

Step-by-step explanation:

Unknown side length is   the L sidelength (14 cm) minus the small R sidelength(5)  = 9 cm

then the perimeter is this unknown + all of the other given numbers added together

Answer:

$1864

Step-by-step explanation:

11% of 1200=132

132×2(years)=264

1200+264=1864

The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

To know more about the Rectangle, here

https://brainly.com/question/25292087

#SPJ4

Answer:

191 ft above the ground

yw and brainliest would return the favor ;)

Step-by-step explanation:

To calculate the height of a kite, you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

In your case, you have let out 250 feet of string and the kite makes a 40 degree angle with the ground. To calculate how high above the ground is the kite, we can use trigonometry. The height of the kite is equal to 250 feet multiplied by the tangent of 40 degrees which is approximately 191 feet.

The solutions to the equation are x = ±1/2 and x = √-2 and the factored form is (4x² - 1)(x² + 2) = 0

From the question, we have the following parameters that can be used in our computation:

4x4 + 7x2 – 2 = 0

Rewrite the equation properly

So, we have the following representation

4x⁴ + 7x² – 2 = 0

Expand the equation

This gives

4x⁴ + 8x² - x² – 2 = 0

Factorize the expanded equation

So, we have

4x²(x² + 2) - 1(x² + 2) = 0

Factor out x² + 2

So, we have the following representation

(4x² - 1)(x² + 2) = 0

When the equation is solved, we have

x = ±1/2 and x = √-2

Read more about polynomial equations at

https://brainly.com/question/17517586

#SPJ1

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The difference between an actual score and a predicted score is called a residual.

In various fields such as statistics, econometrics, and data analysis, the term "residual" refers to the difference between the observed or actual value of a variable and the value predicted by a model or estimation method. It represents the unexplained or leftover variation in the data after considering the model's predictions.

In the context of regression analysis, the predicted score is obtained by fitting a regression model to the data and using it to estimate the expected value of the dependent variable. The difference between the actual value and the predicted value for a specific observation is the residual for that observation.

Residuals play a crucial role in assessing the goodness of fit of a regression model. By examining the pattern and properties of residuals, such as their mean, variance, and distribution, analysts can evaluate how well the model captures the underlying relationships in the data and identify any systematic deviations or outliers.

Overall, residuals provide valuable information for understanding the accuracy and precision of predictions made by a model and can be used to refine and improve the model's performance.

Learn more about variable at: brainly.com/question/15078630

#SPJ11

Answer:

\(a^{m+n}\)

Step-by-step explanation:

For future use:

\(a^{m} *a^{n}=a^{m+n}\)

\((a^{m} )^{n}=a^{mn}\)

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Answer:

\(Area = 0.785cm^2\)

Step-by-step explanation:

Given

\(r = 1cm\) -- radius

\(\theta = 90^{\circ}\)

Required

Determine the area of the sector

This is calculated as:

\(Area = \frac{\theta}{360} * \pi r^2\)

Substitute values for r and \(\theta\)

\(Area = \frac{90}{360} * \pi * (1)^2\)

Simplify 90/360

\(Area = \frac{1}{4} * \pi * (1)^2\)

\(Area = \frac{1}{4} \pi\)

Take \(\pi\) as 3.14

\(Area = \frac{1}{4} * 3.14\)

\(Area = 0.785cm^2\)

Answer:

-11 YARDS

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

Answer: (8,8)

Step-by-step explanation: because, you just need to do the math

The equation of line is y = ( 3/4 )x + 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 8 , 8 )

Let the second point be Q = Q ( 4 , 5 )

Now , the slope of the line between the two points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - 8 ) / ( 4 - 8 )

Slope m = -3/-4

Slope m = 3/4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 8 = 3/4 ( x - 8 )

On simplifying the equation , we get

y - 8 = ( 3/4 )x - 6

Adding 8 on both sides of the equation , we get

y = ( 3/4 )x + 2

Therefore , the value of A is y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

Learn more about scientific method here

https://brainly.com/question/17216882

#SPJ4

Around 10% of the cars stopped at the roadblock had registration, insurance, or safety inspection issues.

At 7 am, the police set up a roadblock on a major highway with the objective of estimating the percentage of cars that possess up-to-date registration, insurance, and safety inspection stickers. During the morning, as they stop cars at the roadblock, they find that around 10% of the vehicles encountered have problems related to registration, insurance, or safety inspections.

This roadblock serves as a sample to assess compliance rates and identify potential violations among motorists. By randomly selecting vehicles to stop, the police aim to obtain a representative sample of the overall population of vehicles on the highway.

The finding that approximately 10% of the cars stopped have issues suggests that a significant proportion of motorists may not have up-to-date registration, insurance coverage, or valid safety inspection stickers.

This information is crucial for law enforcement and regulatory authorities in monitoring and ensuring compliance with vehicle-related regulations. It may lead to targeted enforcement actions, such as issuing fines or citations, conducting further inspections, or promoting awareness campaigns to improve compliance rates and enhance road safety.

Learn more about Roadblock Compliance at:

https://brainly.com/question/2530462

#SPJ4