I don't understand this at all TwT

Given

an 18 ft square with a uniform border of width x

the area of the border is 400 ft²

Find

x

Solution

The outside dimension of the square with the border added is 18+2x, so the total area of square and border is (18+2x)². Subtracting the area of the original square gives the area of the border.

... (18+2x)² -18² = 400

... 4x² +72x = 400 . . . . . simplify

... x² + 18x = 100 . . . . . . .divid by 4

... x² +18x +9² = 100 +9² . . . . complete the square

... (x +9)² = 181 . . . . . . . . .simplify

... x = √181 -9 . . . . . . . . . take the square root, subtract 9

... x ≈ 4.4536 . . . . . . . . . evaluate

The appropriate choice is ...

... c. 4.45 ft

The width should be 4.45 ft

Since there is uniform wi-dth  with 18-foot ed-ges. And, the surface is 400 feet

Also here we assume the width be x

Now the equation should be

[tex](18+2x)^2 -18^2 = 400\\\\ 4x^2 +72x = 400 \\\\ x^2 + 18x = 100 \\\\ x^2 +18x +9^2 = 100 +9^2 \\\\ (x +9)^2 = 181 \\\\ x = \sqrt181 -9 \\\\[/tex]

.x ≈ 4.4536

Learn more about surface here: https://brainly.com/question/17971267

Question :

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?

Answer: 30%

Step-by-step explanation:

Given the following :

Justin's chance of winning each game = 20%

Cam's chance of winning each game = 50%

Therefore, probability of :

Justin winning = 20/100 = 0.2

Cam winning = 50/100 = 0.5

Overall probability = 100% = 1

Therefore,

P(Justin winning) + P(Cam winning) + P(Ben winning) = 1

0.2 + 0.5 + P(Ben winning) = 1

P(Ben winning) = 1 - 0.7

P(Ben winning) = 0.3

0.3 = 30%

Answer:

That would be option C.

Step-by-step explanation:

I literally just took the quiz and got it right.

Answer: There will be 8 balloons left over.

Step-by-step explanation: A total of 580 balloons to be distributed equally among 26 students means 580 ÷ 26.

The division is not exact, since 580 are not divisible by 26, it will result in a rest, so

580 ÷ 26 = 22 and has rest 8

Therefore, there will be 8 balloons left over.

Answer:

40.5m^2

Step-by-step explanation:

Rhombus Formula:

A = pq/2

p = diagonal

q = diagonal

9x9/2 = 40.5m^2

Answer:

1x 900y A

1.5xthere is orgian for B but none for a

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Step-by-step explanation:

hope this helps!

Answer:no

Step-by-step explanation:

All single digit prime numbers are not odd because 2 is a single digit but not odd

Answer:  The answers are in the steps but you have to look closely because i wasn't able to create the table  so I just did something that looks like the table and put in the answers. Hopes it helps.

Step-by-step explanation:  

d)                                       Empire State Building

Original Image   actual Height      1450       1450          1450

Reduced Image    Model Height       145            58           28    

                               Scale Factor         [tex]\frac{1}{10}[/tex]              1/25         1/50

e) Yes  is correct because a dilation makes the  Original shape bigger or smaller and that depends on the scale factor.The greater the scale factor is, the bigger the shape gets and the small the scale factor is the  less the shape gets in size. So sally is totally right because if the number is less than one it is probably going to be a decimal less than one so and that makes the original shape smaller.

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

Answer:

189.3cm2

Step-by-step explanation:

Divide the whole figure into 2 parts. One part as a rectangle and the other as a semicircle  ( half a circle). First find the area of the rectangle, 10 times 15 which will get you 150cm2. Next to find the area of the semicircle do [tex]\pi[/tex] times 5 times 5 times half. You will get an amount like 39.26990817 but do not worry for now. Just keep it like that. Then add this amount with 150 and you will get an amount like 189.2699082

Then round it of to one decimal place and you will get 189.3cm2

Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

90° - 42° = 48°

if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.

Here we can use the relation:

Tan(A) = Opposite cathetus/adjacent cathetus:

Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

Answer:

270 ft

Step-by-step explanation:

The angle of depression from the top of the building to the car = 42° and the distance from the car to the building is 300 ft.

This can be represented by a right triangle with:

Adjacent side to the angle = distance from the car to the building = 300 ft, opposite side to angle = height of building = x and angle (θ) = 42°

From trigonometry:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\Therefore:\\tan(42)=\frac{x}{300}\\ x = 300*tan(42)= 300*0.9\\x=270ft[/tex]

The height of the building is 270 ft

Answer:

See Explanation

Step-by-step explanation:

[tex]

\because \sin\bigg(\frac{\pi}{2} + x\bigg)= \cos x\\

\&\: \sin (\pi - x) = \sin x\\\\

Now,

\frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} = \cot x\\\\

LHS

= \frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} \\\\

=\frac{\cos x}{sinx} \\\\

= \cot x\\\\

= RHS\\\\

Hence\: Proved

[/tex]

Answer:

101.956 cm

Step-by-step explanation:

You just have to do 7.18 times 14.2 to get the answer.

I hope this helped ;)

Answer:

101.956

Step-by-step explanation:

A=bh

7.18 x 14.2 = 101.956

to check your answer you would do the opposite 101.956/14.2 = 7.18 or 101.956/7.18 = 14.2

2x^3y + 7xy^2 - 3x^2 - 12y

Answer:

● 2x³y + 7y²x - 3x² - 12y ✔

Answer:

C is the correct answer

Step-by-step explanation:

Already rode bike 18 miles.

m miles for 6 days.

16+6m

Answer:

its D

Step-by-step explanation:

Answer:

the answer is B thats wat equals to g(x)

Answer:

2x or h(x)

Step-by-step explanation:

Answer:22.5

Step-by-step explanation:

multiply by 1.5

Answer:

22.5 cm

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

AC          BC

-------- = ---------

FH             GH

12            15

-------- = ---------

18             x

Using cross products

12x = 15*18

Divide each side by 12

12x/12 = 15*18/12

x =22.5

Answer:

The loose candy is less per gram

Step-by-step explanation:

First find the cost of the bags

1.49 /120 grams = .012416667 per gram

Then the cost of the loose candy

.89/100 grams = .0089 per gram

The loose candy is less per gram

Answer:

if a matrix and another are inverse of each other, then they will form something known as the identity matrix. The identity matrix is the one I posted in the picture above. So your answer would be B

Answer:

1066

Step-by-step explanation:

Fill in the numbers for the letters                                

Solve in the parenthesis

Multiply

Subtract

Answer:

1066

Step-by-step explanation:

substitute;

2×2^2×3^3×5 - 7×2

2×4×27×5 - 7×2

multiply;

1080 - 14 = 1066.

Answer:

C. The y-intercept is (0, 4).

Step-by-step explanation:

The graph of f(x) = 4 is a straight line parallel to the x-axis passing through the point (0, 4).

Answer:C

Step-by-step explanation:

BIG BRAIN

Answer:

it will be: n =  5 d =  20 p = 5

Hope it helped!

Answer:

f(x)=(x)^(-2)

f(-3)=(-3)^(-2)

f(-3)=(9)^(-1)

f(-3)=(1/9)

Answer:

Hope this is correct.

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by [tex]\pi r^2l[/tex]

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

[tex]volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52[/tex]

volume of pipe is 213.52 cubic ft.

Answer:

the mean is 44 but i don't know the MAD

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

The only thing i could tell you is the mean

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

slope = difference in y / difference in x

Sub the values in:

slope = (-2- -2) / (7 - -5)

slope = 0 / 12

The slope is 0.

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (7, - 2)

m = [tex]\frac{-2+2}{7+5}[/tex] = [tex]\frac{0}{12}[/tex] = 0

Answer:

[tex]0.1[/tex]

Step-by-step explanation:

[tex]1-0.9[/tex]

[tex]=0.1[/tex]

Answer:

0.1

WHY DO I HAVE TO WRITE AT LEAST 20 CHARACTERS?!?!?!?!?!?!?!?! THIS IS MAD!!!

Answer:

rectangle 32

triangle 16

Step-by-step explanation:

The area of the rectangle is

A = bh

A = 8*4 = 32

The area of the triangle is 1/2 of the area of the rectangle

A =1/2 bh = 1/2 *32 = 16

Answer:

triangle = 16

rectangle = 32

It's the last option

Step-by-step explanation:

A for rectangle = b * h

= 8 * 4

= 32

A for triangle = 1/2 * b * h

= 1/2 * 32

= 16

Hope this helps!

Answer:

the third one

Step-by-step explanation:

a linear function is information that is increasing or decreasing at a steady rate, in that specific set of data their decreasing at a rate of 2