A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?

Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Step-by-step explanation:

We know rhat

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{1 - \cos(x) }{2} } \)

whenever x lies from 90 to 180.

If

\( \csc(x) = 9\)

Using Reciprocal Identities

\( \sin(x) = \frac{1}{9} \)

Using Pythagorean Identity,

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

\(( \frac{1}{9} ) {}^{2} + \cos {}^{2} (x) = 1\)

\( \cos {}^{2} (x) = \frac{80}{81} \)

\( \cos(x) = \frac{4 \sqrt{5} }{9} \)

Cosine is negative in when x lies between 90 and 180 so

\( \cos(x) = - \frac{4 \sqrt{5} }{9} \)

So

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{1 + \frac{4 \sqrt{5} }{9} }{2} } \)

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{9 + 4 \sqrt{5} }{18} } \)

For cosine remember

\( \cos( \frac{x}{2} ) = \sqrt{ \frac{1 + \cos(x) }{2} } \)

Cosine is negative in second quadrant so

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{1 + \cos(x) }{2} } \)

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{1 - \frac{4 \sqrt{5} }{9} }{2} } \)

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{9 - 4 \sqrt{5} }{18} } \)

For tangent,

\( \tan( \frac{x}{2} ) = \frac{ \sin( \frac{x}{2} ) }{ \cos( \frac{x}{2} ) } \)

\( \frac{ \sqrt{ \frac{1 - \cos(x) }{2} } }{ \sqrt{ \frac{1 + \cos(x) }{2} } } \)

\( = \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \)

Tangent is negative over 90<x<180 so

\( - \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \)

\( - \sqrt{ \frac{1 + \frac{4 \sqrt{5} }{9} }{1 - \frac{4 \sqrt{5} }{9} } } \)

\( - \sqrt{ \frac{ \frac{9 + 4 \sqrt{5} }{9} }{ \frac{9 - 4 \sqrt{5} }{9} } } \)

\( - \sqrt{ \frac{9 + 4 \sqrt{5} }{9 - 4 \sqrt{5} } } \)

\( - \sqrt{ \frac{1}{(9 - 4 \sqrt{5) {}^{2} } } } \)

\( - \frac{1}{9 - 4 \sqrt{5} } \)

so

\( \tan( \frac{x}{2} ) = - \frac{1}{ 9 + 4 \sqrt{5} } \)

or

\( \tan( \frac{x}{2} ) = - 9 + 4 \sqrt{5} \)

Let's draw the triangle.

tan x = opposite divided by adjacent while sin x = opposite divided by hypotenuse

Because tan x° = 6 divided by g and sin x° = 6 divided by h, we can conclude that 6 is the length of the opposite side, g is the length of the adjacent side, and h is the length of the hypotenuse.

cos x ° = adjacent divided by the hypotenuse

So we know that cos x ° = g divided by h.

Answer:

Step-by-step explanation:

what is the amount for family c

Answer:

Step-by-step explanation:

where is the picture

0.99 /3 = 0.33 per peach

0.33 per peach x 5 peaches = 1.65 total

Answer: $1.65

Answer:

1.65

Step-by-step explanation:

Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4

A) First day = x blocks

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2

C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks

A) We are told that the first day, she walks x blocks

Thus;

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14

Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;

5x + 14 ≥ 70

Subtract 14 from both sides of this equation to get:

5x ≥ 56

Divide both sides of this equation by 5 to get:

x ≥ 11.2

C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.

assume she walks exactly 11.2 blocks the first day.

then her total walking based on the formula would be:

first day 11.2

second day 13.2

third day 15.2

fourth day 15.2

fifth day 15.2

total walked is 11.2 + 13.2 + (3 * 15.2)

this equals 24.4 + 45.6 which equals 70.0

Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.

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Answer:

d the need for man to have priests and a new social class

Step-by-step explanation:

im doing this question on my test right now and i think its that

The correct answer is A. The advancement of religion during the Neolithic Revolution was due to the need for man to thank someone for his prosperity.

Indeed, from the Neolithic period, humans began to acquire a greater understanding of the phenomena that surrounded them and their consequences in the short and long term.

In addition, they began to understand that these consequences were unmanageable for them, that is, they were not able to determine them.

Therefore, as a way to control in a certain way this random process, there was a great advance of religions, as a method of channeling the expectations and anxieties of ancient societies regarding said consequences.

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Answer:

1. open circle on the 5 facing left

2.closed circle on the 5 facing right

3.open circle on the 11 facing left

4.open circle on the 3 facing right

5.closed circle on the 7 facing left

6. open circle on the 6 facing right

Answer:

It is Positive,Negative,Positive after solving each of them

Answer:

c

Step-by-step explanation: since i helped can i have brainlist please :D

A rectangular fence is to a total perimeter of 200 feet. If the length is twice the width, find the measurements of the length and width of the rectangular fence.

In this question we are provided with the perimeter of a rectangle fence that is 200 feet. It is also given that the length of the fence is twice its breadth. We are asked to calculate it's dimensions.

First we will form an equation.

Let us assume the breadth as x

Then, length = 2x

It is given that the perimeter is 200 feet.

We know,

\( \bull \: \small\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + breadth)}}\)

Substituting the values we get

\( \small\sf{ 200 = 2(2x + x)}\)

Now we will solve this equation and find out the value of x.

\( \small\sf{ 200 = 2(2x + x)}\)

\( \longmapsto \small\rm{ 200 = 2(3x )}\)

\( \longmapsto \small\rm{200 = 6x} \)

\( \longmapsto \small\rm{ \dfrac{ \cancel{200} \: \: 33.33}{ \cancel{6}} = x } \)

\( \small\sf{x = 33.33} \)

We will substitute the value of x = 33.33.

Length = 2x = 2 × 33.33 = 66.66 feet

Breadth = x = 33.33 feet

Answer:

You use probability in daily life to make decisions when you don't know for sure what the outcome will be.

Answer:

The percentage increase equation is:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

The percentage increase = 11.97%

Step-by-step explanation:

Given

Starting Value  = 376

Final Value = 421

To determine

Percentage Increase =?

The percentage increase equation:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

                                  = [(421 - 376) / (376)] × 100

                                  = [45 / 376] × 100

                                  = 11.97%

Therefore, the percentage increase = 11.97%

Answer:

3700 kings

Step-by-step explanation:

subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

Given the expressions as

(c ^ 2 - 4c + 7)

(7c ^ 2 - 5c + 3)

We are to substract expression 2 from expression 1

In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution

(7c ^ 2 - 5c + 3) -  (c ^ 2 - 4c + 7)

Expand the bracket

7c² - 5c + 3 - c² - 4c + 7

collect like terms

7c²- c² - 5c - 4c + 3 - 7

Add or substract the like terms

6c² - 9c -4

Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

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Answer:6c^2-c-4

Step-by-step explanation:

(7c^2-5+3)-(c^2-4c+7)

7c^2-5c+3-c^2+4c-7

Rearrange the terms

7c^2-c^2-5c+4c+3-7

Combine like terms

6c^2-c-4

Answer:

True

Step-by-step explanation:

Because -5 x -5 = -25

Answer:

Yes

Step-by-step explanation:

Yes, it's a function.

If It have one more y to the same x, it's not a function.

I hope I've helped you.

Step-by-step explanation:

\(10.5 \div 5 = 2.1 \\\)

\(52.3 \times 2 = 104.6\)

\(82.5 \div 5 = 16.5\)

\(45 \times 6.5 = 292.5\)

Answer:

It is, 6

Step-by-step explanation:

Good luck! Have a good day!! <33

Act like you have 2 fingers up and then add 4 more.

Answer:

Ok 1 is 54 yards 2 is 225 KM 3 64 Ft

please give braineist I never got 1 thank you maybe we can be friends !!! :) :D

Answer:

Shown in explanation.

Step-by-step explanation:

These type of problems requires the knowledge of Pythagorean Theorem

Pythagorean Theorem: A^2(shorter side 1)+B^2(shorter side 2)=C^2(Longest side also known as hypotenuse)

So, you would just need to know the square roots of the square.

Triangle 1. First square: \(\sqrt{36}\)=6 So side length of first one is 6 yd.

Second square: \(\sqrt{18}\)=4.24 So side length of second square is 4.24 yd.

Third square: 36-18=18 So the side length is the same as the second square which is 4.24 yd.

Triangle 2. Repeat the process for all of these problems.

First square: \(\sqrt{125}\)=about 11.18.

Second square: \(\sqrt{100}\)=10.

Third square: 125-100=25. So, \(\sqrt{25}\)=5.

Triangle 3. This is an isosceles triangle meaning 2 sides are the same length.

First and Second square are the same. \(\sqrt{32}\)=5.66.

Third square=32+32=64. So, \(\sqrt{64}\)=8.

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

L = 9

Step-by-step explanation:

6x8=48

432÷48=9