N < N Select the correct answer from each drop-down menu. Consider the equation below. The equation was solved using the following steps. Step 1: Step 2: Step 3: Step 4: m. All rights reserved. Step 1: Step 2: Step 3: Step 4: Step 5: Complete the statements below with the process used to achieve steps 1-4. Distribute -2 to 5x and 8. 6x. 16. -16. −2(5 + 8) Sty T 16 -10T 16x 16 -16x Reset 01 14+ 6T = = - * T = 14 + 6 14 30 Next 30 -16 15​

ΔVWX ≅ ΔZYX, to justify the statement SAS property is used.

Correct option is: 3

Congruent triangles exist if its two sides and also included angles are identical to that of other triangle's two sides and also included angle.

The triangles are considered to be congruent when all three pairs of matching sides are. Side-side-side is the name of this congruence shortcut (SSS). Side-angle-side (SAS) is an alternative simplification if two sets of side as well as the angles between them is known to just be congruent.

When determining if a collection of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, two sides and the included angle of one triangle must equal two sides and the included angle of another triangle in order for the two triangles to be considered congruent. An angle produced by two specified sides is called an included angle.

Correct option: 3

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The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Answer:

3 and 1/12

Step-by-step explanation:

hope this helps! :)

Answer:

The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Step-by-step explanation:

To find the rate, or percent, for each of the following items, the following calculations must be performed:

1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6

2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5

3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200

4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225

5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5

Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.

Answer:

Step-by-step explanation:

Answer:

the original price 3186.75

In a Cartesian join, also known as a cross join, each row from the first table is combined with each row from the second table.

If the first table has 5 rows and the second table has 3 rows, the result of the Cartesian join will consist of 5 * 3 = 15 rows.

He works for 55 hours in order to receive grossly $1,144

From the question, the given parameters are

Hourly rate = $20.80 per hour

Total earnings = $1,144

The number of hours he works for is the quotient of the total earning and the hourly rate

This is represented as

Number of hours =  Total amount /Hourly rate

Substitute the known values in the above equation

So, we have the following equation

Number of hours =  1144/20.8

Evaluate

Number of hours = 55

Hence, the number of hours is 55 hours

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Answer:

Step-by-step explanation: I don’t really know this but I think I did it correctly it would be W+73+152=180 and my answer is W=-45 but I might be wrong so if anyone else would like to add on or say the right answer pls do so

Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)

The Fundamental Rule can be used over a set of categories when one or more out of several choices in each of the categories is to have opted.

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation. It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m ways to perform both of these actions.

For example : consider an example of a person who runs a business of sewing neckties. he can make ties to be unique based on the following factors: color, shape and design. suppose he has a choice of 5 colors, 3 shapes and 4 different design patterns. To find the number of unique ties he can make, it becomes a complex calculation if we are counting by the traditional method. So , in this case, the number of ties the person can stick with the available combination is calculated using the Fundamental Principle of counting definition as:

total number of unique ties = 5× 3× 4

                                              = 60
We assume that we are using the English alphabet with 26 distinct letters.

we consider our question to be a 4 steps process. We can accomplish the first step in 02 ways( since it must be can S or T). The second step can also be accomplished in 02 ways ( since it must also be on s or T). The third step can be accomplished in 10 ways ( since there are no restrictions on choice of letter for this step) and the last step can also be accomplished in 10 ways ( since there are no restrictions on choice of letter for this step).

Hence, the total number of ways to accomplish the entire process is 2.2.10.10 = 400 ways. That is, there are 400 different four letter secret codes that can be formed if the first letter must be an S or T.

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Answer:

Step-by-step explanation:

Multiplication and division are closely related, given that division is the inverse operation of multiplication. When we divide, we look to separate into equal groups, while multiplication involves joining equal groups. ... If we divide this product by one of the factors, we get the other factor as a result.

The correct expression representing the value stored in the variable x after executing the given program is: a. 2*3*3*3 This is because the program starts with x having a value of 2 and then multiplies x by 3 four times in a row.

The expression that represents the value stored in the variable x as a result of executing the program is option D: 24*4*4*4. This is because the program starts with the x being assigned the value 2, and then the instruction "XX * 3" is executed 4 times.

This means that the value of x is multiplied by 3, four times in a row. So, the final value of x will be 2 * 3 * 3 * 3 * 3, which simplifies to 24 * 4 * 4 * 4.

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Answer: it should be 3/4

Step-by-step explanation:

Answer:

The first person is about 4327.76 feet away from the island.

Step-by-step explanation:

We can draw a diagram to represent the situation. This is attached below.

Essentially, we want to find the value of x.

We are given that ∠A is 37° and ∠B is 55°.

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

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

Substitute:

\((37)+(55)+m\angle C=180\)

Thus:

\(\displaystyle m\angle C=88^\circ\)

We are also given that the length of the bridge is 5,280 feet. Since we want to find x, we can use the Law of Sines:

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

The variables do not really matter. It is more important that we align the angles with their respective (i.e. opposite) sides.

The respective side to ∠C is AB which measures 5280.

The respective angle to x is ∠B, which is 55°.

Hence:

\(\displaystyle \frac{\sin(55)}{x}=\frac{\sin(88)}{5280}\)

Solve for x. Cross-multiply:

\(x\sin(88)=5280\sin(55)\)

Thus:

\(\displaystyle x=\frac{5280\sin(55)}{\sin(88)}\)

Use a calculator:

\(\displaystyle x\approx 4327.76\text{ feet}\)

The first person is about 4327.76 feet away from the island.

Answer:

its d

Step-by-step

multiply

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

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Answer:

Solution

e^{3}\approx 20.085536923e

3

≈20.085536923

This can be proved by using identities of trigonometry.

Given that,  

sin x + sin²x = 1 ⇒ sin x = 1 - sin²x

⇒ sin x = cos²x   (∵sin²x + cos²x = 1)

We have to prove that,

cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x = 1

LHS = cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x

= sin⁶x + 3sin⁵x + 3sin⁴ + sin³x

= (sin²x)³ + 3(sin²x)²sin x + 3(sin²x) (sin x)² + (sin x)³

= (sin²x + sin x)³           (∵(a+b)³ = a³ + 3a²b + 3 ab² + b³)

= 1³ = 1 = RHS

LHS = RHS

Hence the equation is proved since both sides of the equation are equal.

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The length of the new cylinder is 8. 78m

The formula for determining the volume of a cylinder is expressed as;

V = πr²h

Where;

Now, substitute the values into the formula, we have;

Volume = 3. 14 × ( 0.28)² × 7

Multiply the values, we get;

Volume = 1. 72m³

For the new length, we have to substitute the value of the volume and the new radius

1. 72 = 3. 14 × (0. 25)² × l

Find the square

1. 72 = 0. 196l

Divide both sides by the coefficient of l

l = 8. 78 m

Hence, the value is 8. 78m

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The wonderful waffle cone holds more ice cream than super sundae cone.

In this question,

The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.

Volume of ice cream cone = volume of hemisphere + volume of cone

Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)

Volume of super sundae cone:

Radius of hemisphere = height of hemisphere = 0.5 in

Depth of the ice cream cone = 4 in

Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)

⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)

⇒ 0.2616+1.0466

⇒ 1.3082 ≈ 1.31 cubic in.

Volume of wonderful waffle cone:

Radius of hemisphere = height of hemisphere = 0.9 in

Depth of the ice cream cone = 3 in

Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)

⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)

⇒ 1.526+2.5434

⇒ 4.0694 ≈ 4.07 cubic in.

Thus volume of wonderful waffle cone > volume of super sundae cone.

Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.

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The probability is 1/3.

Probability is sincerely how likely something is to show up. whenever we're unsure about the final results of an event, we will communicate about the probabilities of positive consequences—how probably they're. The evaluation of events governed by way of possibility is called information.

Probability is the branch of mathematics concerning numerical descriptions of ways likely an occasion is to arise, or how in all likelihood it's far that a proposition is actual. The opportunity of an event is more than a few among 0 and 1, wherein, kind of talking, zero suggests impossibility of the occasion and 1 shows the truth.

Chance = the wide variety of approaches to achieving achievement. the whole range of viable consequences. as an example, the opportunity of flipping a coin and its being heads are ½ because there may be 1 manner of getting a head and the overall wide variety of feasible results is two (a head or tail). We write P(heads) = ½.

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The equation of sphere that passes through the point (6, -2, 3) and has centre (-1, 2, 1) is given by \($(x + 1)^2 + (y - 2)^2 + (z - 1)^2 = 69$\).

A sphere is defined by a centre point and a radius.

Let the radius be r and centre be c (c1, c2, c3).

Then, the equation of sphere is given by :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = r^2$\)

Given :

Centre (c1, c2, c3) = (-1, 2, 1) and point (x, y, z) = (6, -2, 3)

Equation of sphere is :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = r^2$\)

Substituting the given values, we get :

\((6 - (-1))^2 + ((-2) - 2)^2 + (3 - 1)^2 = r^2$ \\$(7)^2 + (-4)^2 + (2)^2 = r^2$ \\$49 + 16 + 4 = r^2$ \\$69 = r^2$\)

Thus, the equation of sphere is :

\($(x - c_1)^2 + (y - c_2)^2 + (z - c_3)^2 = 69$\)

Therefore, the equation of sphere that passes through the point (6, -2, 3) and has centre (-1, 2, 1) is given by \($(x + 1)^2 + (y - 2)^2 + (z - 1)^2 = 69$\).

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Answer:

\(17 = 6x - 7 \\ 17 + 7 = 6x \\ 24 = 6x \\ x = \frac{24}{6} = 4 \\ x = 4 \\ thank \: yo\)

Therefore , the solution of the given problem of quadrilateral comes out to be  EFHG is dilation of figure ABCD.

A quadrilateral is a four-sided shape with four corners that is used in mathematics. The term is either derived from the Latin words "quad" or "portfolio of inventive (meaning "side"). The three factors of a rectangle are four corners, four regions, and four corners. The two main types of concave and convex shapes are convex and concave. The subcategories of trapezoids, rectangular shapes, angles, rhombuses, but also squares are also considered to be convex quadrilaterals.

Here,

A transition that changes a figure's size is a dilation. Each point's coordinates are multiplied by a scale factor, which is a fixed value higher than zero, to achieve this.

A magnification occurs when the scale factor is higher than 1; a reduction occurs when the scale factor is between 0 and 1. (a reduction). The spot around which the figure is resized is the centre of dilation.

Figure ABCD is enlarged from position Q in this instance.

This indicates that the corresponding point in the dilated figure is created by multiplying each point in EFHG  by a scale factor.

The amount of scaling is determined by the scale factor. The dilated figure will be bigger than ABCD if the scale factor is greater than 1, and smaller than ABCD if the scale factor is between 0 and 1.

So,  EFHG is dilation of figure ABCD.

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Answer:

(2, 2)

Step-by-step explanation:

The point of intersection is at (2, 2)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line with equations:

y = 3 x − 4  and y = 1/ 2x + 1

Plotting the graphs using geogebra online tool, the point of intersection is at (2, 2)

Answer:

Step-by-step explanation: