irrational
This equivalent to 27 is
also in the 359th digit
position of Pi
F

Answer:

Given for big triangle:

Given for small triangle:

setting up proportionality:

[tex]\hookrightarrow \sf \dfrac{36}{3x+24} = \dfrac{27}{3x+9}[/tex]

[tex]\hookrightarrow \sf 36(3x+9) = 27(3x+24)[/tex]

[tex]\hookrightarrow \sf 108x+324 = 81x+648[/tex]

[tex]\hookrightarrow \sf 108x-81x = 648-324[/tex]

[tex]\hookrightarrow \sf 27x = 324[/tex]

[tex]\hookrightarrow \sf x = 12[/tex]

Perimeter of the triangle:

36 + 17 + 15 + 3x + 9

36 + 17 + 15 + 3(12) + 9

113 units

Answer:

x = 12

perimeter = 113 units

Step-by-step explanation:

Triangle Proportionality Theorem states that if a line parallel to one side of the triangle intersects the other two sides, then it divides the sides into proportional corresponding segments.

[tex]\implies 3x+9 : 15 = (36-9) : 9[/tex]

[tex]\implies 3x+9 : 15 = 27 : 9[/tex]

[tex]\implies \dfrac{3x+9}{15}= \dfrac{27}{9}[/tex]

[tex]\implies 3x+9 = 45[/tex]

[tex]\implies 3x = 36[/tex]

[tex]\implies x = 12[/tex]

Perimeter = [tex]3x+9 + 15 + 17 + 36[/tex]

Substituting [tex]x = 12[/tex]:

⇒ perimeter = 3(12) + 9 + 15 + 17 + 36

                     = 113

Answer:

a) 6x² - 8x

b) 2x² + x - 15

c) 4x² - 25

d) 2x³ + 7x² - 3x

Step-by-step explanation:

a) 2x (3x - 4)

brackets means multiplication or into

base on the question

2x * 3x = 6x^2

and

2x * (-4) = -8x

therefore

6x² - 8x

is the answer

b) (x + 3) (2x - 5)

clear brackets with (x + 3)

i. x * (2x - 5) = 2x^2 - 5x

ii. +3 * (2x - 5) = 6x - 15

add i add ii

2x² - 5x + 6x - 15

if u noticed, there are similar figures 6x and 5x, so we take like term

2x² + x - 15 answer

c) (2x + 5) (2x - 5)

clear bracket

i. 2x * (2x - 5) = 4x² - 10x

ii. 5 * (2x - 5) = 10x - 25

add i and ii

4x² - 10x + 10x - 25

collect terms

4x² - 25 answer

d) x (2x + 1) (x - 3)

I) first we deal with x(2x+1)

x * (2x + 1) = (2x² + x)

II) then we find the multiplication of

(2x² + x) (x - 3)

i. 2x² * (x - 3) = 2x³ - 6x²

ii. x * (x - 3) = x² - 3x

add i and ii

2x³ - 6x² + x² - 3x

collect terms

2x³ - 5x² - 3x

Answer:

38

Step-by-step explanation:

You're simply subtracting areas.

[tex]\int \limits_4^{12}x dy[/tex]

represent the blue area in the edited photo. Which you can get from an area of the rectangle with opposite corners in the origin and in Q(6;12) (with red sides, which has area 6x12=72) minus the area of the green rectangle of opposite corners origin and P(1;4) (of area 1x4=4), minus the area limited by y=0, y=f(x), x=1 and x=6, which is, as you know, the integral you've been given at the start, 30.

Area is thus 72 - 4 - 30 = 38

(yes, I did it with paint, the image should be understandable hopefully)

Answer:

C = 100 + 25t

Step-by-step explanation:

The total discretionary money every month is $1,117.43.

This is the amount of money after paying for necessary products and other obligations. This includes:

Discretionary money = Total income - money spent on taxes and basic expenses.

Basic expenses:

Discretionary money = Total income - money spent on taxes and basic expenses.

Learn more about discretionary money in: https://brainly.com/question/12159880

Answer:

97%

Step-by-step explanation:

Answer:

the answer is 5 hope this helps have a great day

Step-by-step explanation:

5-4(2-x)=17

5-4(-x+2)=17

5-4(-x+2)=17

5+4x-8=17

5+4x-8=17

-3+4x=17

4x-3=17

4x-3+3=17+3

4x=20

4x/4=20/4

x=5

Answer:

D

Step-by-step explanation:

Because y intercept is -25

so in D it says - 25

Answer:

C is the answer because if u add all the numbers up and subtract how much she has paid so far u get 255,000

Answer: $90,000

Step-by-step explanation: just did the test

Answer:

Headquarters in Espoo since September 2019

Founded 12 May 1865 in Tampere, Grand Duchy of Finland Russian Empire

Founders Fredrik Idestam Leo Mechelin Eduard Polón

Headquarters Espoo , Finland

Area served Worldwide

19 more rows

Step-by-step explanation:

A. People who live near the unused park

Step-by-step explanation:

It would be best to ask people who live near the unused park since they would most likely be the ones using it.

Answer:

A

Step-by-step explanation:

because they would have better fun for their kids and it wouls probably cost less

The height of the building on the scale model created by the architect is 40 centimeters long.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The architect creates a scale model of a building with a scale of,

[tex]\rm 5 \;cm =4 \; m[/tex]

As, one meter is equal to 100 centimeters. Thus, the scale factor used by the architect for the building is,

[tex]r=\dfrac{5}{400}\\r=\dfrac{1}{80}[/tex]

Now the actual building is 32 m tall. Let suppose the height of the building on the model is x meters. Thus, the scale factor for this can be given as,

[tex]r=\dfrac{x}{3200}[/tex]

Now, both the scale factor are of the same model. Therefore,

[tex]\dfrac{x}{3200}=\dfrac{1}{80}\\x=40\rm cm[/tex]

Hence, the height of the building on the scale model created by the architect is 40 centimeters long.

Learn more about the scale factor here;

https://brainly.com/question/10253650

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

10

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

First let know what we are doing..

Given:

A bouquet has 30 flowers

Size of bouquet decrease by a factor of 3

How many flowers remains

Note;

The term "decreased by a factor" means to divide.

Solve;

Thus, 30/3 = 10

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[RevyBreeze]

Answer:

c

Step-by-step explanation:

Answer:

87.975

Step-by-step explanation:

76.5 x 15% = 11.475

76.5 + 11.475 = 87.975

Answer:

-768

….......

Substitute n = 8 into the explicit formula

[tex]a_{8} = 6[/tex] × [tex](-2)^{7}[/tex]= [tex]6[/tex] × [tex]-128[/tex]

= -768

Answer:

Step-by-step explanation:

The tangent function can be considered to be the ratio of the sine and cosine functions:

  tan(x) = sin(x)/cos(x)

It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.

The corresponding trig function values are ...

  tan(x) = undefined (where sin(x) >0)

  sin(x) = 1

  cos(x) = 0

__

And the reciprocal function values at x=π/2 are ...

  cot(x) = 0 . . . . . . 1/tan(x)

  csc(x) = 1 . . . . . . .1/sin(x)

  sec(x) = undefined . . . . . 1/cos(x)

Answer:

D

Step-by-step explanation:

it is a strange question. but I guess its meaning is to identify an expression that is structured in the same way as the generic basic expression.

3×(n + 1.8)

after doing the multiplication this gives us

3n + 3×1.8 = 3n + 5.4

so, the only answer option including 5.4 is D.

it would mean that 3n = 3.75. n = 1.25

but just to show you how strange this question is, let's have a look at the other answer options :

is 5.55 = 3n + 5.4 ?

it would mean

0.15 = 3n

n = 0.05

so, formally, this is also an expression that represents the original expression.

9.15n = 3n + 5.4

6.15n = 5.4

n = 5.4/6.15 = 0.87804878...

so, formally, this is also an expression that represents the original expression.

3.75 + 1.8 = 3n + 5.4

5.55 = 3n + 5.4

and we are back to A and therefore, formally, this is also an expression that represents the original expression.

so, many greetings from me to your teacher. he/she has to be more careful about how to phrase questions.

because here, formally, all 4 answers are theoretically correct.

Answer:

real-world problems.

Step-by-step explanation:

Answer:

The final answer is 8(6-x)

⇒ Given value: 48−8x

⇒ find: equivalent expression

⇒ Solution: 48−8x = 8(6−x)

[tex].[/tex]

Answer:

A, because the cat is only 15 feet in the air and the TREE is 50 feet

Answer:

Its Jim

Step-by-step explanation:

I got Ryan running at 5 1/2 miles per hour, while Jim runs at 6 miles per hour.

We are given with a circle and we need to find the equation of the circle , but first let's recall that , the equation of a circle with radius 'r' and centre at (h,k) is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex]

Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here (h,k) = (0,0) .Which means that the centre is located at the point whose coordinates are (0,0) which is also known as origin . Now , finding the equation of the circle :-

[tex]{:\implies \quad \sf (x-0)^{2}+(y-0)^{2}=(9)^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x^{2}+y^{2}=81}}}[/tex]

This is the required equation of Circle

Answer:

domain: {10, 15, 19, 32} range: {-1, 5, 9}

Step-by-step explanation:

the x values are the domain, while all the y values are the range

Answer:

The point is (3,0) is a vertex.

true statements for this hyperbola:

Answer:

Step-by-step explanation: 3²+12²=x² simplifies to 9+144=x² so 153=x² or x²=153.

Answer:

r ≈ 3.82

Step-by-step explanation:

Using the formula:

C = [tex]2\pi r[/tex]

We rearrange to get r as the subject:

r = [tex]\frac{C}{2\pi }[/tex]

r = 24÷(2×[tex]\pi[/tex])

r ≈ 3.82

Answer:

add 6 to the quotient of 8 and 2 by the subtraction of 3

Answer:

add 6 to the quotient of 8 and 2 by the subtraction of 3

Step-by-step explanation: