Mai is visiting a city to see a tall land mark. They are 80 feet away when they spot it. To see the top they have to look up at an angle of 85. 66 degrees. How tall is the land mark?

The value of the x is 228.57 units.

What is the angle bisector theorem?

The angle bisector theorem states that a triangle's angle divides the opposing side into two portions that are proportionate to one another.

We have given,

Triangle, Let's consider it ΔABC,

then,

Measures of Angles ∠B= 37, ∠C=32, and side AD = 82

To find x =?

In the triangle side AD is the bisector, it forms a new triangle  ΔADC.

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

As per the Angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC.

To find AB & AC:

sin θ = side opposite to angle θ / hypotenuse

cos θ = side adjacent to angle θ / hypotenuse

sin θ = AD / AB

sin 37 = 82 / AB

AB = 82/ sin 37

AB = 136.25

cos θ = BD / AB

cos θ = BD/136.25

BD = cos37 * 136.25

BD = 104.9

sin θ = AD / AC

sin32 = 82 / AC

AC = 149

cos32 = DC / AC

cos32 = DC / 149

DC = 123.67

So, x = BD + DC

x = 104.9 + 123.67

x = 228.57

Hence, the value of the x is 228.57 units.

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At 8.5 per meter, the cost of tying lace around the tablecloth is $18.36.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Identity equations and conditional equations are the two types of equations. An identity holds true for all possible values of the variables. A conditional equation is valid only for certain values of the variables. An equation consists of two expressions joined by an equals sign ("=").

Here,

The perimeter of the table cloth is 4 times the length of one side, so it is 4 * 54 cm = 216 cm.

To convert from centimeters to meters, we divide by 100, so the perimeter is 216 cm / 100 = 2.16 meters.

At a rate of ₹8.5 per meter, the cost of putting lace around the table cloth is 2.16 meters * ₹8.5 per meter = ₹18.36.

The cost of putting lace around the table cloth at the rate of ₹8.5 per meter is $18.36.

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The correct statement regarding the best measure of the variability is given as follows:

The IQR is the best measure of variability, and it equals 6.

The Interquartile Range (IQR) of a data-set represents the difference between the third quartile and the first quartile of the data-set.

As it is not affected by outliers, it is the best measure of variability of a data-set.

The quartiles for this problem are given as follows:

Hence the IQR is obtained as follows:

IQR = 21 - 15

IQR = 6.

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6.63324958071 is the mean of 2 and

Answer:

2 sqrt(11)

Step-by-step explanation:

To find the geometric mean of two numbers, take the square root

sqrt( 2*22)

sqrt(44)

sqrt(4*11)

2 sqrt(11)

Answer:

7, 2, 3, 4, 8, 3

-------------------------

This is about the distributive property of multiplication and the product of exponents with same base.

When you multiply exponents with same base the powers add up:

The blanks are going to be:

Answer:

[tex]15m^{7}n^{2}-20m^3n^{4}+10m^{8}n^{3}[/tex]

Step-by-step explanation:

Given expression:

[tex]5m^3n\left(3m^4n-4n^3+2m^5n^2\right)[/tex]

Distribute:

[tex]5m^3n \cdot 3m^4n-5m^3n \cdot 4n^3+5m^3n \cdot 2m^5n^2[/tex]

Multiply the numbers:

[tex]15m^3nm^4n-20m^3nn^3+10m^3nm^5n^2[/tex]

Rearrange to collect like terms:

[tex]15m^4m^3nn-20m^3n^3n+10m^5m^3n^2n[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]15m^{4+3}n^{1+1}-20m^3n^{3+1}+10m^{5+3}n^{2+1}[/tex]

Therefore:

[tex]15m^{7}n^{2}-20m^3n^{4}+10m^{8}n^{3}[/tex]

Answer:

13a-8/5 simplified

Answer:

x+1=115.6

Step-by-step explanation:

an unknown x

plus a number imagine 1

so x+1=115.6

They both represent the same information - for every 96 action/ adventure movies, there are 38 sci-fi movies to stream.  96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other.

Inverse is the opposite of something. It can be used to describe the opposite of a mathematical operation, such as taking the reciprocal of a number, or the opposite of a logical statement, such as negating the statement. It can also be used to describe the opposite of an action, such as reversing a direction or undoing an action. Inverse can also be used to describe the opposite of an effect, such as the opposite of a physical reaction or the opposite of an emotional response. Inverse relationships can often be seen in nature, such as how a decrease in temperature results in an increase in pressure, or how an increase in the amount of light results in a decrease in the number of insects in a certain area.

a:

1. 96:38

2. 38:96

3. (96/38):1

b: 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other. They both represent the same information - for every 96 action/adventure movies, there are 38 sci-fi movies to stream. The only difference is the order of the numbers, but the ratio remains the same.

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The relationship between the rectangles ABCD and WXYZ is AB = WX.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the rectangles ABCD and WXYZ, in a coordinate grid,

length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,

let us consider the scale of the grid to be 1 unit,

from graph,

AD = BC = 5 units

AB = DC = 3 units,

and for rectangle WXYZ,

XY = WZ = 5 units

WX = YZ = 3 units

so AB = WX

Hence option D is correct.

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Answer:

Step-by-step explanation:

I gotchu.

Area is piR^2

= pi(70squared)

= 15393.804

Circumference is 2piR

= 2pi(70)

= 493.82

As per the mentioned distribution of cards, Clara has 2 baseball cards.

Let the number of baseball cards with Clara be x. So, number of baseball cards with Jeff will be 3x. Now, the baseball cards that Yolonda has is (3x + 7). We know their sum is 21, therefore, forming the equation now -

x + 3x + 3x + 7 = 21

Performing addition on Left Hand Side of the equation

7x + 7 = 21

Dividing the whole equation by 7

x + 1 = 3

Rewriting and solving the equation for x

x = 3 - 1

Performing division on Right Hand Side of the equation

x = 2

The number of baseball cards with Clara are 2.

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The required orders are Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

An equation that holds true for one or more values of the variable but holds false for other values of the variable is known as a conditional equation. In Hannah's example, the equation holds true for the value of x equal to 10, but not for other values, such as 1. The equation is a conditional equation as a result.

Let we consider the number of orders Kara served as x.

Then, Harry served x + 10 orders and Erin served 4x orders.

The total number of orders they served is x + x + 10 + 4x = 86 orders.

So, 6x + 10 = 86

6x = 76

x = 12.5

Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

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Answer:

Step-by-step explanation:

Let the orders served by Kira be k.

Orders served by Henry= 10 less than Kira

                                       = k-10

Orders served by Erin= 4 times of Kira

                                   = 4k

Total orders served= 86

     Kira+Henry+Erin= 86

               k+k-10+4k= 86

                       6k-10= 86

                            6k= 86+10

                            6k= 96

                              k= 96/6

                              k= 16

Kira= k= 16

Henry= k-10= 16-10= 6

Erin= 4k= 4x16= 64

∴ Kira served 16 orders, Henry served 6 orders & Erin served 64 orders

Answer:

[tex]\sqrt[3]{-x}[/tex] and [tex]-\sqrt[3]{x}[/tex]

Step-by-step explanation:

I inserted these functions into a graphing calculator and checked if they were identical or not

Answer:

First part is D and F

The Second part is A,C,D

Step-by-step explanation:

EDG 2023

Answer:

12

Step-by-step explanation:

[tex]\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12[/tex]

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (x/4) + 17 = 20

Then the value of x will be,

→ (x/4) + 17 = 20

→ x/4 = 20 - 17

→ x/4 = 3

→ x = 3 × 4

→ [ x = 12 ]

Hence, the value of x is 12.

Answer:

To determine how many cakes Jahnay is making, we need to calculate the total weight of the ingredients for one cake and then divide the total amount of flour Jahnay is using by that amount.

First, let's calculate the total weight of ingredients for one cake:

150 g sugar + 120 g butter + 210 g flour + 2 eggs = 480 g

Next, let's divide the total amount of flour Jahnay is using by the total weight of ingredients for one cake:

840 g / 480 g = 1.75 cakes

So Jahnay is making 1.75 cakes.

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

Writing a number as the product of itself a number of times are known as an Exponent.

For example,

If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.

If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.

Here we have

The expression (m². m⁵. m⁻³ )

As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ  

(m². m⁵. m⁻³ ) = m²⁺⁵⁻³  = m⁴  

Therefore,

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

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The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.

Let a, b, c, and d are the zeroes of the polynomial and k be the leading corefficient. Then the polynomial is given as,

⇒ k(x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

From the graph, the zeroes are -2, 1, and 1. Then the polynomial is given as,

y = a(x + 2)(x − 1)²

The curve passes through (0, 1), then we have

1 = a(0 + 2)(0 − 1)²

1 = 2a

a = 1/2

a = 0.5

Then the polynomial is given as,

y = 0.50 (x + 2)(x − 1)²

y = 0.50 (x + 2)(x² + 1 - 2x)

y = 0.50 (x³ + 2x² + x + 2 - 2x² - 4x)

y = 0.50 (x³ - 3x + 2)

y = 0.50x³ - 1.5x + 1

Compare with standard equation, then we have

a = 0.50

b = 0

c = - 1.5

d = 1

The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.

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The missing graph is attached below.

Refer to the attached image.

The number of seats in the front row can be represented as: s = x - (n - 1) * (2y / n - x) / (n - 1) = x - (2y - nx) / n

Let's call the number of seats in the first row "s". Then, the number of seats in the second row is s + d, the number of seats in the third row is s + 2d, and so on. The total number of seats in the theater can be represented as:

s + (s + d) + (s + 2d) + ... + (s + (n - 1)d) = y

Expanding this equation and combining like terms, we get:

ns + (d * (n - 1) * n) / 2 = y

Now that we have an equation for the total number of seats in terms of n, d, and y, we can use the number of seats in the last row to solve for s, the number of seats in the first row:

s + (n - 1)d = x

ns + (d * (n - 1) * n) / 2 = y

Solving for s in terms of n, x, and y:

s = x - (n - 1)d

ns + (d * (n - 1) * n) / 2 = y

Substituting this expression for s into the equation for the total number of seats:

(x - (n - 1)d) + (d * (n - 1) * n) / 2 = y

Expanding and solving for d:

x + (n - 1)d = 2y / n

d = (2y / n - x) / (n - 1)

Finally, substituting this expression for d back into the equation for s:

s = x - (n - 1) * (2y / n - x) / (n - 1)

So the number of seats in the front row can be represented as:

s = x - (n - 1) * (2y / n - x) / (n - 1)

= x - (2y - nx) / n

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The complete question is:

A theater has n rows of seats, and each row has d more seats than the row in front of it. There are x seats in the last (nth) row and a total of y seats in the entire theater. How many seats are in the front row of the theater? Write your answer in terms of n, x, and y.

a. The server worked for about 2.5 hours to earn $35

b. the server earn $77 for 5 hours of work

c. the earnings will increase as the number of hours worked increases

This solved by tracing the information from the graph

Tracing the graph the information that coincides with earning $35 is about 2.5 hours

Tracing the graph the information that coincides with earning $77 is about 5 hours

The graph shows that increase in earning will lead to increase n hours of work

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The graph of the inequality is added as an attachment and a solution is (1, 5)

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

y ≥ -x + 3

y > 2x - 6

The above expression is an inequality that implies that:

The inequality is a linear inequality

Next, we plot the graph

One of the points in the shaded region is (1, 5)

See attachment for the graph of the inequality

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The new diagram with a scale factor of 1 unit = 8 feet will look the same

as each new grid now represents 8 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A drawing represented by a scale factor of 1 unit = 4ft,

Where every grid unit represents 4 ft.

The new drawing model will look exactly the same as now each grid unit represents 8 feet.

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The ordered pairs of points on a graph is added as an attachment

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

The ordered pairs

The ordered pairs are represented as

A(0, 3), B(5, 8), C(9, 8), D(4, 3), E(9, 6), F(4, 1), G(0, 1)

Next, we create a plot of the ordered pairs

When this is done, we then connect the points

See attachment for the graph of the ordered pairs

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y coordinate of point p is 2.

Arrangement of reference lines or curves used to identify the location of points in space.

Using the section formula, if a point (x,y) divides the line joining the points

(x₁, y₁) and (x₂, y₂) in the ratio m:n then

(x, y)=(mx₂+nx₁/m+n, my₂+ny₁/m+n)

(x,y)=(3(1)+4(5)/7, 3(-2)+4(5)/7)

=(3+20/7, -6+20/7)

=(23/7, 14/7)

=(23/7, 2)

The y coordinate of point p is 2

Hence, y coordinate of point p is 2.

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Answer im not sure frl but its ok

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

The number of ways the 7 members of the student council can pose in a line for a yearbook photograph if the chair and vice-chair must be side by side is 6!.

To see why, consider the first 6 members as a group. They can be arranged in 6! ways, since they are interchangeable. Then, the chair and vice-chair must be positioned together in the first two spots, which is only one way. So, the total number of arrangements is 6! * 1 = 720 ways.

can give brainliest if this helps ;)

Answer:

1440

Step-by-step explanation:

We should first count the chair and vice-chair as one unit i.e. one person since they have to be seated together

This means there are 6 items effectively and these 6 items can be arranged in 6! ways

6! = 720 ways

But there is more....

The chair and vice-chair have to sit together but they can sit together in two different ways:
Chair can be on the left, vice-chair can be on the right

or

Chair can be on the right,  vice-chair can be on the left

So for each of the 6! combinations there are 2 ways of seating the chair and vice-chair together

Total number of ways = 6! x 2

= 720 x 2 = 1440

Answer:

The party pack has 20 strawberry candies and 25 banana candies. To calculate this, divide the number of strawberry candies in the mega pack (40) by the total number of candies in the mega pack (90). This gives you a ratio of 4:5. For the party pack, divide the number of strawberry candies (20) by that same ratio (4:5) to find the number of banana candy pieces, which is 25.

The sphere ball will not sink because it has a density of 0.34 g/cm³ which is lesser than density of water

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.

Density = mass/volume

volume of the sphere = 4/3 πr³

= 4/3 × 3.14 ×4³

= 803.84/3

= 267.95 cm³

Density of the sphere = 90/267.95

= 0.34 g/cm³( nearest hundredth)

Therefore the sphere will not sink because it's density is lesser than that of water.

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The properties of the functions and the graphs are listed beloe

Function 3

Here, we have

f(x) = 4/3(6)^x

See attachment for the graph, where we have the following features

Function 4

Here, we have

f(x) = -(1/3)^x

See attachment for the graph, where we have the following features

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Answer: the answer is 9

Step-by-step explanation:

simply divide 2 from both sides in order to cancel out the left side and isolate the variable. 18 divided by 2 is 9