Simplify. 2/ 28 thx :))​

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12

Answer:

hope it helps you

Step-by-step explanation:

pls kindly mark it brainliest answer

Answer:

[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]

Step-by-step explanation:

3/5 - 1/3

Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator

3/5 times 3/3 = 9/15

Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator

1/3 times 5/5 = 5/15

9 / 15 - 5 / 15 = 4/15

If my answer is incorrect, pls correct me!

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-Chetan K

104 ft^2

Explanation:

The surface areaa of a rectangular prism is given by the formula:

2 (lw + hl + hw)

l = length

w = width

h = height

Substitute the formula with the givsn dimensions:

2 ([6 x 2] + [5 x 6] + [5 x 2])

= 2 (12 + 30 + 10)

2 (52)

= 104

So the SA is 104 square feet or ft^2

Hope this helps!

Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

The inverse function [tex]f^{-1}(x)[/tex] is such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us

[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]

Solve for [tex]f^{-1}(x)[/tex] :

[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]

The perimeter of △PQR is, 7.5/5x.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, Based on the given information, since △ABC∼△PQR,

we know that the corresponding sides are proportional.

Therefore, we can set up a proportion:

AB/PQ = BC/QR = AC/PR

Substituting the given values, we get:

2/5 = BC/QR = AC/PR

Since we know the perimeter of ΔABC is 3x, we can express its sides as:

AB + BC + AC = 3x

Substituting AB = 2, we get:

2 + BC + AC = 3x

Dividing both sides by 2, we get:

BC/2 + AC/2 = (3/2)x - 1

Substituting BC/QR = AC/PR = 2/5, we get:

(2/5)QR/2 + (2/5)PR/2 = (3/2)x - 1

Simplifying, we get:

QR + PR = (15/10)x - 2

Since the perimeter of ΔPQR is PQ + QR + PR, we can substitute PQ = 5, and get:

Perimeter of △PQR = 5 + QR + PR

Substituting QR + PR = (15/10)x - 2, we get:

Perimeter of △PQR = 5 + (15/10)x - 2

Simplifying, we get:

Perimeter of △PQR = (7.5/5)x - 2

Therefore, the answer is option B, 7.5/5x.

Learn more about the triangle visit;

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In a general sum:

A + B + C

each of these elements is called an addend.

In this problem we want to add:

-1.5 + 1.75

The first addend is -1.5, the second addend is 1.75.

First let's solve this, notice that the first element is negative and the second is positive, so we can rewrite our sum as:

-1.5 + 1.75 = 1.75 - 1.5 = 0.25

Now we want to plot the first addend (-1.5 ) and the sum of the numbers (0.25)

We only need to find these points in a number line and graph them, you can see an example below:

If you want to learn more, you can read:

https://brainly.com/question/24367392

Answer:

1.5 + 1.75= 0.25

The rest shall be answered shortly.

Step-by-step explanation:

Thx so much!

-Your helper

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]

[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]

[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]

[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]

[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]

[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]

[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]

[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]

[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 45

Step-by-step explanation:

180 = (2x + 45) + x

135 = 2x + x

135/3 = 3x/3

45 = x

Answer:

x = 45

Step-by-step explanation:

The 2 given angles are adjacent snd sum to 180° , then

2x + 45 + x = 180 , that is

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45

Answer:

.71

Step-by-step explanation:

We only need to look at the brown eyes row

2+2+10 =14

Brown hair is 10

P(brown hair) = brown hair / total

                        =10/14 =5/7 = .714285714

Answer:

87.965

Step-by-step explanation:

surface area of a cylinder,

2πr²+2πrh (where r = radius, h = height)

given, h = 5, r = 2

so,

2πr²+2πrh

= 2π×2²+2π×2×5

= 8π+20π

= 28π

= 87.9645943..

= 87.965 (rounded to the nearest thousand)

Answer:

FG = 120 cm

Step-by-step explanation:

The explanation is in the picture!

Answer:

n = -1

Step-by-step explanation:

3-5n+4n=4

3 - n = 4

-n = 1

n = -1

Answer:

V = 396 cubic inches

Step-by-step explanation:

width = w; length = l; height = h; volume = V; area of smallest face = a

base units are inches

w = 2 + l

h = l - 5

Height is smallest and length is second smallest (h = l -, l = l, w = l +), so a is for h and l.

a = h × l = (l - 5) × l

36 = l^2 - 5l ==> l^2 - 5l - 36 = 0

Factor ==> (l - 9) × (l + 4) = 0

l = 9 and l = -4

Since length cannot be negative, 9 is the only Real answer.

l = 9

h = l - 5 = 9 - 5 = 4

w = 2 + l = 2 + 9 = 11

Volume of rectangular prism/box is length times width times height.

V = l × w × h = 9 × 11 × 4 = 396

The volume of the box with the given dimensions is;

Volume = 396 in³

Let us denote the properties of the box as follows;

Length of box = l

Width of box = w

Height of box = h

Area of the smallest face of box = a  

We are told that the width is 2 inches more than the length. Thus;

w = 2 + l

We are told that the height is 5 inches less than its length. Thus;

h = l - 5

Since length is smaller than width but bigger than height, the height and length are the 2 smallest faces

Thus,

a = h × l

plugging in the relevant values gives;

a = (l - 5) × l

a = l² - 5l

We are told that the area of the two smallest faces is 36 in². Thus;

l² - 5l = 36

l² - 5l - 36 = 0

Using online quadratic equation solver, we have; l = 9 inches

Plugging in 9 for h in; h = l - 5  

h = 9 - 5

h = 4

Also, plugging in 9 for l into; w = 2 + l, we have;

w = 2 + 9

w = 11

Volume of box is given by;

Volume = length × width × height

Volume = 9 × 11 × 4

Volume = 396 in³

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Answer:

the amount will 26.7 ......hope this may help you

Answer:

x=-3

Step-by-step explanation:

2x=-6

x=-3

your answer will be x=-3

Answer:

0.1009

Step-by-step explanation:

To convert percentage into decimal, you need to divide the percentage by 100

10.09/100

= 0.1009

Part G

The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.

Let's solve for x.

angle ABD + angle DBC = 180

(0.5x+20) + (2x-10) = 180

2.5x+10 = 180

2.5x = 180-10

2.5x = 170

x = 170/2.5

x = 68

Then we'll use this to find angle ABD

angle ABD = 0.5*x + 20

angle ABD = 0.5*68 + 20

angle ABD = 34 + 20

angle ABD = 54

============================================================

Part H

Use the value of x we found back in part G to find the measure of angle DBC

angle DBC = 2x - 10

angle DBC = 2(68) - 10

angle DBC = 136 - 10

angle DBC = 126

An alternative is to subtract the measure of angle ABD from 180

angle ABD + angle DBC = 180

angle DBC = 180 - (angle ABD)

angle DBC = 180 - 54

angle DBC = 126

============================================================

Part I

This time, the two angles add to 90 degrees as shown by the square corner marker.

(angle XYW) + (angle WYZ) = 90

(1.25x - 10) + (0.75x + 20) = 90

2x + 10 = 90

2x = 90-10

2x = 80

x = 80/2

x = 40

which then leads to,

angle XYW = 1.25*x - 10

angle XYW = 1.25*40 - 10

angle XYW = 50 - 10

angle XYW = 40

============================================================

Part J

We can subtract the result of part I from 90 degrees to get the answer

angle WYZ = 90 - (angle XYW)

angle WYZ = 90 - 40

angle WYZ = 50

Or we could plug the x value x = 40 into the expression for angle WYZ

angle WYZ = 0.75*x + 20

angle WYZ = 0.75*40 + 20

angle WYZ = 30 + 20

angle WYZ = 50

============================================================

Summary:

The answers we found were

Answer:

G. m∠ABD = 54°

H. m∠DBC = 126°

I. m∠XYW = 40°

J. m∠WYZ = 50°

Step-by-step explanation:

∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.

[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]

m∠ABD = 1/2(68) + 20 = 34 + 20 = 54

m∠DBC = 2(68) - 10 = 136 - 10 = 126

Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.

[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]

m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40

m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50

The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed

The correct option for the details of the box plot that represents the dot plot data is;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

The process of deriving the five number summary of the box plot above is as follows;

Known:

The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;

18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25

The number of data points in the statistics, n = 18

Unknown:

The five number summary

Method:

Finding the five number summary as follows;

The minimum value = 18

The maximum value = 25

∴ Quartile 1 = Q₁ = 5th term = 21

Quartile 2 = 22

Quartile 3 = 23

Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

Learn more about box and whiskers, and dot plots here;

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Answer:

7.20 dollars

Step-by-step explanation:

1 1/4 can be expressed as 5/4 ((1*4+1) /4)

If price of 5/4 pound of turkey = $9

Price of 1 pound of turkey = $9 / (5/4)

( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)

$9 / (5/4) = $7.2

Answer:

x = 147

Step-by-step explanation:

33 and x form a straight line which means they add to 180

x+33 =180

x = 180-33

x = 147

Answer:

[tex]x=147[/tex]

Step-by-step explanation:

we see that x and 33 are linear pairs so their sum is 180 degrees.

[tex]x+33=180[/tex]

Subtract :-

[tex]x=180-33[/tex]

[tex]x=147[/tex]

OAmalOHopeO

Answer:

(x-3)^2 = 5

x = 3 ±sqrt(5)

Step-by-step explanation:

x ^2 −4x+4=2x

Subtract 2x from each side

x ^2 −4x-2x+4=2x-2x

x^2 -6x +4 = 0

Subtract 4 from each side

x^2 -6x+4-4 =0-4

x^2 -6x = -4

Take -6

Divide by 2

-6/2 = -3

Square it

(-3)^2 = 9

Add to each side

x^2 -6x+9 = -4+9

(x-3)^2 = 5

Take the square root

sqrt((x-3)^2) = ±sqrt(5)

x-3 =  ±sqrt(5)

Add 3 to each side

x = 3 ±sqrt(5)

Answer:

lusing completing square metjod

x

Step-by-step explanation:

x^2_6x+(_3)^2=_4+9

(x_3)^2=5

x_3=

[tex] \sqrt{5} [/tex]

[tex]x = 3 + or - \sqrt{5} [/tex]

Step-by-step explanation:

Put the numbers as the value is given

So,

(6+5)= 11 Answer

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

Answer:

under the condition of f(x)=x composite function is an identity one

Using angle sum property

[tex]\\ \sf\longmapsto x+44+29=180[/tex]

[tex]\\ \sf\longmapsto x+63=180[/tex]

[tex]\\ \sf\longmapsto x=180-63[/tex]

[tex]\\ \sf\longmapsto x=117°[/tex]

The angle sum property of a triangle:

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]