Sonic runs down a ladder of 19 ft against a wall and the base of the ladder is 30 degrees to the ground. What is the distance from the base of the ladder to the wall?

In this case, we'll have to carry out several steps to find the solution.

Step 01:

We must analyze the problem to write the expression.

Step 02:

The expression is:

x = number

1 + 1 * x

The solution is:

1 + 1 * x

Mai can conclude that "XWYZ will be the rhombus when we connect WYZ and WYX as all the sides are equal. In a rhombus, the opposing sides are parallel. In a rhombus, the opposing angles are equal. Diagonals in a rhombus cut each other at right angles. A rhombus' angles are divided by diagonals."

A quadrilateral with equal-length sides is a rhombus. The angles at the opposite vertex are equal, and the opposite sides are parallel. In a rhombus, the opposing sides are parallel. In a rhombus, the opposing angles are equal. Diagonals in a rhombus cut each other at right angles. A rhombus' angles are divided by diagonals.

A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a shape. The term "diagonal" refers to lateral shapes with sides, edges, and corners. A diagonal is a line segment that joins two opposing polygonal vertices (or corners). In other words, a diagonal is a line segment that joins two polygonal vertices that are not adjacent to one another. It connects a polygon's vertices, excluding the figure's edges.

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Ty hiked up a mountain to 2523 meters above sea level.

Height of the TY above the sea level = 2523meter

. Pete is a scuba diver and dove 319 meters below sea level

Depth of the Pete = 319 meter

To find the how much higher was Ty than Pete,

Find the differecne between thier disatnce from sea level

Answer: Ty was 2204 meter higher than Pete

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

( OPTION C )

Answer:

There are 54 4th graders.

There are 48 5th graders.

Step-by-step explanation:

1/6 of the 4th graders is 9 students.

1/6 x = 9

x = 9 × 6

x = 54

There are 54 4th graders.

1/3 of the 5th graders is 16 students.

1/3 x = 16

x = 3 × 16

x = 48

There are 48 5th graders.

There are 54 Fourth grader and 48 Fifth graders were enrolled in the school.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of fourth graders be x.

and, let the number of fifth graders be y.

As, One-sixth of the fourth graders is 9.

and, one-third of the fifth graders is 16.

Then, 1/6 x = 9

x= 54

and, 1/3 y= 16

y= 48

Hence, there are 54 Fourth grader and 48 Fifth graders were enrolled in the school.

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From the information on the pie chart, the proportion of students that participated in dances is 20 out of 100.

Then, if we represent this in a bar chart where 100% is 10 squares, the proportion of students that participated in dances should be represented by:

Answer: 2 shaded squares out of 10 squares

Given:

Find: Slope - intercept form.

Sol:

Slope - intercept form:

Slope intercept form of equation is:

We have the following division:

for this, we have to divide each remainder by x, and use the law of signs in reverse order. The division will look like this:

Therefore, the result of the division is:

Given data:

The given number is a=15/4.

The given number can be written as,

The numberr can be expression on the number line between 3 and 4 but it is more close to 4.

To determine how many employees have more than 10 years of service we need to look for dots that are to the right of the "10" position on the horizontal axis. There are a total of 11 employees that fit that criterion. We now need to look for which of these 11 employees earn less than 40,000 per year, for that we have to find the number of dots below the line of 40,000 and to the right of 10 years of service. There are a total of 5 dots.

There are 5 employees with more than 10 years of service which earn less than $40,000.

First we can simplify the result

in order to know the missing fraction, we will call x

we can check it

Given the length (l), the width (w), and the height (h) of the rectangular prism:

You need to use this formula for calculating the surface area of a rectangular prism, in order to find the surface area of the box:

Where "l" is the length, "w" is the width, and "h" is the height of the rectangular prism.

Therefore, when you substitute the values into the formula and evaluate, you get:

Hence, the answer is:

Answer:c 565

Step-by-step explanation:

Answer:

4

Explanation:

Given the below function;

To find g(7), all we need to do is substitute the x for 7 in the below and solve;

Answer: the picture

Step-by-step explanation:

ANSWER:

slant upward

STEP-BY-STEP EXPLANATION:

The line would slant upward to the right because if the y-intercept is negative, the line starts below the x-axis and if the x-intercept is positive, it means the line continues from below the x-axis and crosses to the right. right. from the origin (to the right of 0), which means that it is tilted up to the right.

We can rectify it in the following graph

Answer:

is there a pitcher that comes with it ?

Step-by-step explanation:

We are going to select the points when x = 0 and x = 2.

Observing the graph we see that when x = 0, then y = 1 - (0,1)

when x = 2, then y = 2 - (2, 2)

Now we have two points:

(x₁, y₁) = (0, 1)

(x₂, y₂) = (2, 2)

We are going to find how much the variables change from point 1 to point 2

Change of x:

Δx = x₂ - x₁ = 2 - 0 = 2

Δx = 2

Change of y:

Δy = y₂ - y₁ = 2 - 1 = 1

Δy = 1

The slope, m, is the division of the two found changes:

m = Δy/Δx = 1/2

Using the law of sines:

Using the triangle sum theorem:

Upload the picture please,

First you need to find the slope using the formula

Slope = (y2 - y1) / (x2 - x1)

Choose two points from the table

P1 = (6, 38)

P2 = (5, 32)

Identify x1, y1, x2, y2

x1 = 6 y1 = 38 x2 = 5 y2 = 32

Substitute the values to find the slope

slope = m = (32 - 38) / (5 - 6)

= -6/-1

= 6

Find the equation of the line using the formula

y - y1 = m(x - x1)

x1 = 6 y1 = 38

Substitution

y - 38 = 6(x - 6)

Simplify

y - 38 = 6x - 36

Solve for y

y = 6x - 36 + 38

y = 6x + 2

It is given that,

The amount she invested in Fund A was $7000 less than the amount she invested in Fund B.

So, A=B-7000

And it is given that, Fund A returned a 7% profit and Fund B returned a 3% profit.

The total profit from the two funds together was $1610.

It can be written as,

7% of A +3% of B=1610

Substitute A=B-7000, we get

7% of (B-7000) +3% of B=1610

On solving we get,

Hence, the investment in fund B is $21,000.

The height of the third bounce to the nearest tenth of a foot is 7.6 ft

The given function:

f(x) = height in feet of each bounce

x represent the bounce number

For the third bounce, x = 3

replacing x with 3:

The height of the third bounce to the nearest tenth of a foot is 7.6 ft

Therefore, when daily output is 106300 units, the cost will be at its lowest.

The average cost, or how much it generally costs to produce a unit, can be discovered using the cost function. The average cost function is defined as A(x)=C(x)x, where x > 0. The average cost per unit is calculated by dividing the total cost by the number of units produced. Costing is necessary to make sure that all costs are met and that the group decides on a price that will result in a profit. Finding ALL of a company's costs, including manufacturing, sales, administration, overhead, etc., is the first and most crucial stage. Costs are then divided into fixed and variable costs.

Given,

C=0.04x2 - 8.504x + 25302....... (1), where x is the number of units produced in thousands, gives the cost of generating x thousands of units of lemon-scented widgets in a day.

We must determine the daily production rate that will reduce costs.

dC/dx = 0

The current prerequisite for minimum cost is

0.08x - 8.504 = 0

0.08x = 8.504

x = 106.3

In light of equation (1),

x =106.3

Therefore, when daily output is 106300 units, the cost will be at its lowest.

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The equation is:

P = 5M

The graph is shown in the explanation

Given that a printer prints 5 photos per minute.

Since P represents the number of photos printed in M minutes, we have:

The graph of this is shown below:

Hello there. To solve this question, we need to analyze the probabilities for each case and see if the game is fair or not and also favorable to the player.

Sophia rolls a dice. If 5 turns up, she gets $2; If 6 turns up, she gets $3; If 2 turns up, she loses $10; She neither wins nor loses if any other face turns up.

First, let's remember something that will be important: a dice only haves 6 faces.

As we can see, she is winning (getting money) if 2 out of 6 faces turns up (5 and 6), and is losing if 1 out of 6 faces turns up (2). She is neither winning or losing if 3 out of 6 faces turns up (1, 3, 4).

About the fairness of the game, there are only 1 case she loses and 2 cases she wins something. We could only say the game is fair if the amount of winning cases were equal to the amount of losing cases. The game is not fair.

About being favorable, we'll consider it being unfavorable just the case that she loses money. The first and third cases, in which she gets money or doesn't get or lose money are favorable to her.

Since only 1 out of 6 faces makes her lose, then the game is favorable to the player.

Final answer: The game is not fair, but favorable to the player.

3

1) The number to be found, is a multiple of 5 and also greater than 526 but also lesser than 541.

2) So we have, the next number whose last digit is 5 immediately greater than 526 and lesser than 541 is 535

3) So 3 is the missing digit

This problem is about a simple algebraic expression which we need to reduce in its simplest form. To do that, we need to reduce like terms, that is, terms that are similar, for example, terms 5x and 9x are similar because they have the same variable; also terms 12, 4, and 16 are also similar because they are single numbers.

Now, we reduce them using the algebraic sum properties, that is, numbers with the same sign will sum, and numbers with different signs will subtract:-

Then, we have

Given that:

- There are 15 strawberry chews in the bag.

- There are 5 cherry chews in the bag.

You know that there is no orange chew in Kaylee's bag. Therefore, knowing this, you can determine that the probability that Kaylee reaches in without looking and pulls out an orange chew is:

By definition, the probability is zero when it is impossible for the events to happen.

Since there is no orange chew in her bag, it is impossible that she reaches in

without looking and pulls out an orange chew.

Hence, the answer is: Impossible.

Answer:

3

Step-by-step explanation:

0+1=1-1+0+2=3-3+1+2+0-1=4

When two points lie on the same line are called collinear. When they lie on the same plane they are called coplanar.

Points that lie on the same plane are not necessarily collinear.

When points are collinear, they lie on the same plane. Then when points are collinear they are necessarily coplanar. But when they are coplanar they are not necessarily colinear.

This means that points that lie on the same line are collinear and coplanar too.

Answer:

$663.95

Explanation:

Given the following:

Original price of a camera: $799.95

Discount: 17%

Discounted price = 17% of original price of the camera

Discounted price = 0.17*$799.95

Discounted price = $135.99

Selling price = Original Price - Discounted price

Selling Price = $799.95 - $135.99

Selling price = $663.96

Hence the selling price is $663.95