What is the area of the rectangle?

Answer:

Around 25.8 square units

Step-by-step explanation:

\(A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8\)

Hope this helps!

Answer:

c

Step-by-step explanation:

I think its c..... I'm not really sure though

Answer:The correct awnser is C

Step-by-step explanation:

So you basically have to find the area as if it were a rectangle, which would be 19*13, which is 247. Then, you find the area of the corner taken out and subrtact it, so 3*4 is 12, and 247-12 is 235.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The enclosed by the given function is 2/5(1 -In2) square units.

As given,

Consider the region enclosed by the curve y = tan(5x) and y = 2sin(5x) interval (-π/15, π/15) as shown below.

From the shown graph interval [-π/15, 0] the curve y = tan(5x) is above the y = 2sin(5x) and in interval [0, π/15] the curve y = tan(5x) is below the y = 2sin(5x).

So, the area will be.

Area = ∫ from [o to -π/15] (tan5x - 2sin5x) dx + ∫ from [π/15 to 0] (2sin5x - tan5x) dx

Now evaluate the integral as,

A = [-1/5 InIsec5xI + 2/5 cos5x] from [o to -π/15] + [-2/5 cos5x - 1/5   InIsec5xI] from [π/15 to 0]

A = -1/5 InIsec0I + 2/5cos0 + 1/5 InIsec(-π/3)I - 2/5cos(-π/3) - 2/5cos(π/3)      -1/5 InIsec(π/3)I + 2/5 cos0 +1/5 InIsec0I

A = 0 + 2/5 -1/5 In2 -1/5 -1/5 -1/5 In2 +2/5 +0

A = 2/5 (1 - In2)

Therefore, the area is 2/5(1 - In2) square units.

Hence, the enclosed by the given function is 2/5(1 -In2) square units.

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To prove that in any group, an element and its inverse have the same order, we need to show that if we have an element `a` in a group and `n` is the order of `a`, then the order of `a`'s inverse, denoted as `a⁻¹`, is also `n`.

Let's assume that `a` has order `n`. This means that the smallest positive integer `n` such that `aⁿ = e` (the identity element) is `n`. We want to show that the order of `a⁻¹` is also `n`.

First, let's consider the order of `a⁻¹`. By definition, the order of `a⁻¹` is the smallest positive integer `m` such that `(a⁻¹)ᵐ = e`.

Now, we can use the fact that `aⁿ = e` to rewrite `a⁻¹` raised to the power of `n`:

(a⁻¹)ᵐ = ((aⁿ)⁻¹)ᵐ = (e⁻¹)ᵐ = eᵐ = e.

This shows that `(a⁻¹)ᵐ = e`, which implies that the order of `a⁻¹` is at most `m`.

To prove that the order of `a⁻¹` is exactly `n`, we need to show that `m` cannot be smaller than `n`.

Suppose, for contradiction, that `m < n`. Then we have:

(aⁿ)⁻¹ = (aⁿ)⁻¹ᵐ = aⁿᵐ = e.

This would imply that `aⁿ` has an inverse and `(aⁿ)⁻¹` has order `m`, which contradicts the definition of `n` as the smallest positive integer satisfying `aⁿ = e`.

Therefore, we conclude that the order of `a⁻¹` cannot be smaller than `n`. Since we have shown that it is at most `m` and not smaller than `n`, it follows that the order of `a⁻¹` is exactly `n`.

Hence, in any group, an element and its inverse have the same order.

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Answer: (x+2) (4X+3)

               (combine like terms)

              (5x+5)

Step-by-step explanation:

Cofunction pairs are shifted by π/2 radians (90 degrees) from each other.

Cofunction pairs are shifted by π/2 radians (90 degrees) from one another. It means that the value of one function at an angle is equal to the other function at that angle plus π/2 radians.

For example, the sine function and cosine function are cofunctions, and they are shifted by π/2 radians from each other. The same is true for other cofunction pairs such as tangent and cotangent, and secant and cosecant.

This means that the value of the sine function at a certain angle is equal to the cosine function at that angle plus π/2 radians (90 degrees), and vice versa. Similarly, the same for value of the tangent function, secant function at a certain angle.

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In this scenario, each man shakes hands with all the other men (excluding himself) and with all the women (excluding his spouse). Therefore, each man shakes hands with \($25$\) people in total.

Since there are \($13$\) married couples, there are \($13$\) men and \($13$\) women. Hence, the total number of handshakes involving men is \($13 \times 25 = 325$\).

As for the women, they do not shake hands with each other, so we only need to consider the handshakes involving men. Therefore, the total number of handshakes among these \($26$\) people is \($325$\).

If you would like to represent this solution using LaTeX code, you can use the following snippet:

\(\text{Number of handshakes involving men} \\\\= \text{Number of men} \times \text{Number of handshakes per man} \\\\= 13 \times 25 = 325\)

Therefore, the total number of handshakes among the \($26$\) people is \($325$\).

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ANSWER

EXPLANATION

We want to identify the option that is completely factored.

For an expression to be completely factored, it means that there are no more common terms between the terms in the expression.

That means it can not be factored any further.

Therefore, the only correct option is:

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

the x axis changes

Step-by-step explanation:

Answer:

The slope is 2/3 and the y intercept is 7

Step-by-step explanation:

y=2/3 x + 7

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2/3 and the y intercept is 7

Answer:

\({ \bf{slope : \frac{2}{3} }} \\ \\ { \bf{y - intercept : 7}}\)

Step-by-step explanation:

General equation of line:

\({ \bf{y = mx + c}}\)

Slope is m and y-intercept is c:

\({ \tt{y = \frac{2}{3}x + 7 }}\)

by relation:

slope: ⅔

y-intercept: 7

Answer:

-7.42 × 10²⁵

Step-by-step explanation:

Given expression:

\(4.8\times 10^{24}-7.9 \times 10^{25}\)

Rewrite the second exponent as (1+24):

\(\implies 4.8\times 10^{24}-7.9 \times 10^{(1+24)}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\implies 4.8\times 10^{24}-7.9 \times 10^1 \times 10^{24}\)

Simplify:

\(\implies 4.8\times 10^{24}-7.9 \times 10 \times 10^{24}\)

\(\implies 4.8\times 10^{24}-79 \times 10^{24}\)

Factor out the common term 10²⁴:

\(\implies (4.8-79)10^{24}\)

Carry out the subtraction inside the parentheses:

\(\implies -74.2 \times 10^{24}\)

To write the answer in scientific notation \(a \times 10^n\) then 1 ≤ a < 10.

Therefore, divide -74.2 by 10, which means we need to multiply 10²⁴ by 10:

\(\implies -74.2 \div 10 \times 10^{24} \times 10\)

\(\implies -7.42 \times 10^{24} \times 10^1\)

\(\implies -7.42 \times 10^{(24+1)}\)

\(\implies -7.42 \times 10^{25}\)

Answer:

80_27=53

Step-by-step explanation:

I hope to help you

Answer: y=53

Step-by-step explanation:

The overall angle is 80° (it must add up to this) so take away 27° from 80° to find y.

Answer:

9

Step-by-step explanation:

x + 3

6 + 3 = 9

Step-by-step explanation:

x + 3=9

6+3=9

replace the X with the six

The missing value of the variable z is 32 degrees. Option A

It is important to note the following;

From the information shown on the diagram, we have that;

4z and 52 degrees are both on a straight line and thus supplementary to each other.

This is then represented as;

4z + 52 = 180

collect the like terms

4z = 180 - 52

subtract the values, we get

4z = 128

Make 'x' the subject of formula, we have;

z = 128/4

divide the values

z = 32 degrees

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\(\frac{3}{1}\)Answer:

Step-by-step explanation:

3x-y = 2

2x+y =4

put them into slope intercept form

y=3x-2

y=-2x+4

Now, you can either graph it or use substitution

3x-2 = -2x+4

+2x +2x

5x -2 = 4

+2 +2

5x = 6

5x/5 = 6/5

x = 6/5

3x -2 = y

3(6/5) -2 = y

3 x 6 / 1 x 5 = 18/5

3 3/5 -2 = 1 3/5

Let me know if it's wrong.

Hope this helps

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating.

When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

Hence, Translate K to N and rotate about K until HK lies on the line containing LN is correct.

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Answer:

Below

Step-by-step explanation:

● Orders of 8 gallons or more can be modeled as: x》 8

● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x

● For orders that are less than 8, the comapny charges 14.78 per gallon

● => 14.78x for x < 8

So the function that represent the situation is the second one

Answer:

the answer is A

Step-by-step explanation:

5 * 8 = 40

300/40 = 7.5

The vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

Pressure altitude is temperature-adjusted density altitude.

Pressure and temperature have a direct and indirect relationship with density.

Thus, the vertical profiles for pressure, density, as well as temperature with in troposphere are displayed in an x-y graph.

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There are 3900 ways to elect people to the positions of president, vice-president, and secretary.

In this problem, we can use the multiplication rule of counting which states that "if an operation can be performed in m ways and a second operation can be performed in n ways, then the two operations can be performed in m x n ways." Here, since no person can hold more than one office, we can consider the elections for each position independently.

President: There are 10 people running for this position. Thus, we can choose the president in 10 ways. Vice-President: Since the person who has been chosen as the president cannot hold any other position, we can choose the vice-president in 19 ways. Secretary: Since the two people who have been elected as president and vice-president cannot hold any other position, we can choose the secretary in 18 ways. Therefore, by the multiplication rule of counting, the total number of ways in which these people can be elected to these positions is 10 x 19 x 18 = 3,900 ways.

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Answer:

2001 is the square number of

Exact Form: √2001

Decimal Form: 44.73253849…

1007 is the square number of​

Exact Form: √1007

Decimal Form: 31.73326330…

Step-by-step explanation:

Answer:

Square of 2001 is 44.73. Rounded to the nearest hundredth

Square of 1007 is 31.73. Rounded to the nearest hundredth

The formula for the velocity, v is √2E/m

Kinetic energy is half the mass multiplied by the square of the speed of the object

It is written thus;

Kinetic energy = 1/ 2 × m × v²

To solve for 'v' mean that we should make 'v' the subject of formula

E = 1/ 2 mv²

E = \(\frac{mv^2}{2}\)

cross multiply

\(2E = mv^2\)

To make 'v' the subject, we have

\(v = \sqrt{\frac{2E}{m} }\)

Thus, the formula for the velocity, v is √2E/m

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The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2