if cosA + secA = 2 prove cos⁴A + sec⁴A = 2.​

Answer:

4/6 or 2/3

Step-by-step explanation:

probability is successful out of total. The total is 1,2,3,4,5,6, or 6 ways, and the successful is 2,4,5,6, or 4 ways

Answer:

272/49

Step-by-step explanation:

hope this helps :)

Answer:

4 x 2 x 3.14 = 25.12

Step-by-step explanation:

Formula of circumference:

2(just use this number whenever finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius(half of your diameter or your given radius).

2πr

The formula for work is Work=Force × Distance, i.e., W=(F)x(d). Where F represents Force and d represents Distance.

Work is created by applying force and moving in the force's direction. Force and displacement are two vectors, and work is their dot product. Work is a scalar quantity as a consequence. The joule (J) is the SI unit of work. Also we can derive the formula as W = (F cos θ)d, where d represents the magnitude of distance.

Work may be estimated if the force acting along the path is constant by multiplying the length of the path by the component of the force acting along the path. To quantitatively express this concept, the work W is equal to the force f times the distance d, or W=(F)x(d). If the force is applied at an angle to the displacement, the work is W = (F cosθ)d.

Therefore, it is all about the work formula.

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\(( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ \)

\( \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ \)

\( \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ \)

\(3x + 2\)

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Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

The total number of students who failed the exam when the total students who gave the exams are 500 is 200

Total number of students who gave the exam = 500

The ratio of those who passed and failed is 6:4

To solve ratio

Let the number of students who passed the exam be 6x

And the number of students who failed the exam is 4x

Total student = 10x

A student who passed the exam = (500 × 6x)/10x

A student who passed the exam = 300

Number of student who failed the exam = 500 - 300
Number of student who failed the exam = 200

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The question in Spanish and the question in English is :

500 students in the marketing and logistics career solved a mathematics exam in which the ratio of those who passed and failed was 6:4 How many students failed the exam

A right angle is an angle measuring exactly 90 degrees. A congruent angle is an angle that has the same measure as another angle. Therefore, for two angles to be congruent, they must have the same measure, and if they are right angles, they must each measure exactly 90 degrees.

Since both angles measure exactly 90 degrees, and any two right angles are always equal, the hypothesis that "If two angles are right angles, then they are congruent" is true. A right angle is one of the most common types of angles and is found in a variety of geometric shapes, including squares, rectangles, and triangles.

Because they always measure exactly 90 degrees, they are easy to identify and work with when solving geometry problems. In conclusion, two angles are congruent if they have the same measure, and if they are both right angles, they are also congruent because they both measure exactly 90 degrees.

The hypothesis that "If two angles are right angles, then they are congruent" is true.

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The equation to model the population y after x years is y = \(100,000(1.042)^x.\)This equation gives us the population of the city after x years, assuming a constant annual growth rate of 4.2%.

\(y = a(1 + r)^x\)

where:

a = initial population = 100,000

r = annual growth rate = 4.2% = 0.042 (converted to decimal)

x = number of years

Substituting the values into the formula, we get:

\(y = 100,000(1 + 0.042)^x\)

Simplifying this equation, we get:

\(y = 100,000(1.042)^x\)

An equation is a statement that asserts the equality of two mathematical expressions. These expressions can be comprised of variables, constants, mathematical operations, and functions. An equation typically takes the form of an expression on one side of an equals sign, with another expression on the other side.

Equations can also be classified according to their degree or order, which is the highest power of the variable in the equation. For example, a linear equation has a degree of 1, while a quadratic equation has a degree of 2. Equations are a fundamental concept in mathematics, and their understanding is essential for many applications in science, technology, and everyday life.

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Answer:

9 visits

Step-by-step explanation:

Given that:

Amount spent by Miranda per visit = $7

Amount spent by Savanah per visit = $9

To obtain the least number of visits by Miranda ;

We obtain the L. C. M of 7 and 9, the. Divide by the amount she spends per visit ;

Multiples of :

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77

9 = 9, 18, 27, 36, 45, 54, 63, 72, 81

Hence, lowest common multiple of 7 and 9 is 63 ;

Hence, least possible. Number of visits by Miranda is ; 63 / 7 = 9 visits

The probability that he misses his first shot and make the second will be 0.16.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

Since the basketball player makes free throw shots 80% of the time, the probability that he misses his first shot and make the second will be:

= (1 - 80%) × 80%

= 0.2 × 0.8

= 0.16

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Answer:

AX = 14

Step-by-step explanation:

The medians of a triangle intersect at its centroid.

The position of the centroid X from the vertex A is

AX = \(\frac{2}{3}\) AL = \(\frac{2}{3}\) × 21 = 14

Answer: A) -8

B) - 41

C) - 39

Step-by-step explanation:

the opposite of -1.2 is 1.2

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Chaneece did not find the correct solution

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

x and y are the integers

So, we have

x + y ≤ 40

x - y ≥ 20

Add the equations

So, we have

2x = 60

Divide

x = 30

Next, we have

30 + y ≤ 40

So, we have

y ≤ 10

This means that

x = 30 or between 20 and 30

y = 10 or between 0 and 10

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The given system of equations is inconsistent and has no solution. There is no specific value for y that satisfies all three equations.

The given system of equations is:

4x = 2

2y = 0

x + y = 11

We can examine each equation individually to determine the best approximation for a solution. The first equation, 4x = 2, can be simplified to x = 1/2. The second equation, 2y = 0, simplifies to y = 0. The third equation, x + y = 11, does not provide any new information as it conflicts with the values obtained from the first two equations.

By comparing the values obtained for x and y, we can see that there is a contradiction. x = 1/2 and y = 0 do not satisfy the third equation, x + y = 11, which implies that there is no single pair of values for x and y that simultaneously satisfy all three equations.

Therefore, the system of equations is inconsistent and has no solution. It is not possible to determine a specific value for y that would best approximate a solution in this case.

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The complete question is:

Find the best approximation to a solution of the following systems of equations. What the value for y?

4x=2

2y=0

x + y=11

Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

Answer:

100

Step-by-step explanation:

hope this helps!!!!!!

The mean hourly snowfall is of 10/3 cm per hour.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The mean concept is also used to obtain the average rate of change in a data-set, which is given by the change in the output divided by the change in the input.

In this problem, we have that the total snowfall increased by 10 cm in 3 hours, hence the mean hourly snowfall is given as follows:

10/3 cm per hour.

Which is the simplest form of the fraction, as 10 is not divisible by 3.

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The location of Q so that PQ is 1/3 of PR is given as follows:

Q = 4.

The location of Q is obtained applying the proportions in the context of this problem.

The length of PR is given as follows:

PR = 26 - (-7)

PR = 33.

The length of PQ is given as follows:

PQ = Q - (-7)

PQ = Q + 7.

Hence the location of Q such that PQ is one third of PQ is obtained as follows:

Q + 7 = 33/3

Q + 7 = 11

Q = 4.

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Answer:

132 students

Step-by-step explanation:

100% means all of something, so 100% can also be written as 1.00

Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.

Answer:

X= 48

Step-by-step explanation:

math

Way

- It’s a calculator for algebra and stuff

Answer:

\(71\frac{3}{4}\)

Step-by-step explanation:

Area = base * height = \(10\frac{1}{4}\times 7=(10+\frac{1}{4})\times 7= 10\times 7 + \frac{1}{4}\times 7= 70 + \frac{7}{4} = 70+1+\frac{3}{4} = 71\frac{3}{4}\)

Answer:

Area: 10.7521 cm

Circumference: 11.62389 cm

________________________________________________________

Area, A, will equal the formula of \(\pi r^2\), so we must find the value and split that up. Diameter, d is equal to 2r. Let's solve.

\(A = \pi r^2\)

\(d = 2r\)

Now, make an equation combining like terms.

\(A = \frac{1}{4} \pi d^2\)

This equation means to multiply those terms together. Since the diameter is 3.7, d is 3.7

\(\frac{1}{4} * \pi * 3.7 = 10.8(estimate)~cm\)

Let's move on to circumference. On we go!

________________________________________________________

With circumference, it is very similar to what you just did to find area(A). You must again, set up these terms and make an equation out of them. C(circumference) is going to be equal to \(\pi r\), notice how it does not say squared(\(^2\)) at the end now.

\(C = \pi r\)

And diameter, you guessed it, will be 2r.

\(d = 2r\)

Now, combine the like terms into an equation.

\(C = \pi d\) pi times diameter(3.7)

\(\pi * d(3.7) = 11.6~cm\)

Now that the problem is done, we move on to review.

________________________________________________________

We learned how to solve for circumference and area using diameter.

________________________________________________________

Feel free to ask in the comments.

The volume of the composite figure  is One-third(8)(6)(6) + (8)(6)(4).

A rectangular prism and pyramid are three-dimensional shapes.

Volume of a rectangular prism = length x width x height

4 x 6 x 8

Volume of a rectangular pyramid = 1/3 x (length x width x height)

Height = 10 - 4 = 6 units

Volume = 1/3(6x6x8)

Volume of the composite figure = One-third(8)(6)(6) + (8)(6)(4)

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Answer:

Its not must that 3x have to be the one to be subtracted. You could take 8x as well.

But always subtract from the smaller one (in this case 3x) because its easier.

If you are subtracting 3x-3x and 8x-3x, the equation would be like

4 = 5x - 16

5x = 4+16

5x = 20

x = 4

Answer:

A pot of Gold supposedly with a leprechaun next to it

Step-by-step explanation:

Answer:

You can't reach the end of the rainbow because a rainbow is kind of like an optical illusion. A rainbow is formed because raindrops act like little prisms. So no matter how you move, the rainbow will always be the same distance away from you. That's why you can never reach the end of the rainbow.

Answer:A function f(x) is even if f(-x) = f(x). The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin.

Step-by-step explanation:

The function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).This has been obtained using even-odd functions.

What are even-odd functions?

When the output value of a real-valued function, f(x), is equal to f(x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

We have an even function if we have an expression that is equivalent to f(x) and we have an odd function if we obtain an expression that is equivalent to -f(x).

If we take a function and substitute x for -x, simplify the result, and then compare it to what you started with, you can "determine algebraically" if the function is even, odd, or neither.

The function is even if you come out with exactly what you started with (i.e., if f (-x) = f (x), in which case all of the signs are the same. If you come out with exactly the opposite of what you started with (i.e., if f(-x) = -f (x), in which case all of the signs are switched), it is an odd function.

Hence, the function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).

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