A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 22 feet. The height is 16 feet. What is the area of this section of the deck?

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

30 units²

Step-by-step explanation:

As it is a right angled triangle, we can get the area by simply applying the formula

Area = 1/2 × base × height

Taking the base as 12 and height as 5, we get

Area = 1/2 × 12 × 5

Area = 30 units²

Hope this helps! :D

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Answer:

x = 106º

Step-by-step explanation:

The interior angles of a triangle add up to 180º.

First let's find the third interior angle.

We already have: 37º & 69º.

Add them together.

= 106º

To find our third angle, subtract this value from 180º.

180 - 106 = 74º

This is our third interior angle.

x and 74º are supplementary angles, meaning they add up to 180º. This is because they lie on the same straight line and are divided by a single line which they share.

To find x, subtract 74 from 180.

180 - 74 = 106

x = 106º

This is your answer.

Hope this helps!

Answer:

The answer is "[tex]{c=-6+3\sqrt{14}[/tex]"

Step-by-step explanation:

Given:

[tex]\to F(x) = \frac{x}{x+6} , \ [1, 12][/tex]

[tex]\to f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

As per the given intervals:

[tex][1,12]\\\\ a=1 \\ b=12.[/tex]

Calculating the values of f(a) and f(b).

[tex]\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\[/tex]

[tex]\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\[/tex]

         [tex]=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\[/tex]

[tex]\to f'(x)=\frac{6}{\left(x+6\right)^2}[/tex]

Calculating the value of [tex]\ f'(c):[/tex]

[tex]\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}[/tex]

Replacement of the values in the mean theorem of value now.

[tex]\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\[/tex]

 Apply the cross multiplication:

[tex]\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\[/tex]

Answer:

486

Step-by-step explanation:

1,985 + 12,000 + x = 14,471

x = 14471 - 12000 - 1985

x = 486

Answer:

486

Step-by-step explanation:

14471-12000-1985=486

Hope this helps :D

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

Answer:

a = 23

b = 10

Step-by-step explanation:

The general formula is

y = 3x +  5

Just to check, let x = 2

y = 3*2 + 5

y = 6 + 5

y = 11

And a confirmation check

x = 3

y = 3*3 + 5

y = 9 + 5

y = 14

So for a

x = 6

y = 6*3 + 5

y = 18 + 5

y = 23

For b, you know y

35 = 3x + 5

- 5           -5              Subtract

30 = 3x                       Divide by 3

30/3 = 3x/3

x = 10

The values of the variables a and b are:

a = 23

b = 10

Answer:

The answer is the last choice

Answer:

10 yd. 2 d. 5-333. 15 yd2. 8. ... 5). 4) Determine the values of the missing variables, given the following triangle ... 10 6 km. 으니 a = 4, p = 20 3 x= 4V15, y= 4V5 x = 10, y = 5 x=513, y=5.

Answer:

[tex]x^{2}[/tex] - [tex]z^{2}[/tex] - 2z[tex]\sqrt{5}[/tex] - 5

Step-by-step explanation:

This is the equation that you started off with:

(x - z - [tex]\sqrt{5}[/tex])(x + z + [tex]\sqrt{5}[/tex])

You can't really use FOIL on this because that's used in multiplying binomials, and this is a trinomial, but you can still break it up and simplify it this way:

(a + b + c)*(d + e + f) = (a(d + e +f)) + (b(d + e + f)) + (c(d + e + f))

So, applying that idea to the actual equation:

x(x + z + [tex]\sqrt{5}[/tex]) -z(x + z + [tex]\sqrt{5}[/tex]) - [tex]\sqrt{5}[/tex](x + z + [tex]\sqrt{5}[/tex])

= x^2 + xz + x[tex]\sqrt{5}[/tex] -xz -z^2 - z[tex]\sqrt{5}[/tex] - x[tex]\sqrt{5}[/tex] - z[tex]\sqrt{5}[/tex] - 5

= x^2 - z^2 - 2z[tex]\sqrt{5}[/tex] - 5

or [tex]x^{2} - z^{2} - 2z\sqrt{5} - 5[/tex]

Answer: its either 2.5 or 16

Step-by-step explanation: hope this is helpful I don't know if these answers are right...

Answer:

259 cm will be the answer, if i am wrong im very sorry about getting it wrong

Step-by-step explanation:

i tried my best.

Answer:

akjnajknlkicea

Step-by-step explanation:

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

Answer:

x = -3

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other. Isolate the variable, x.

Add 2 to both sides of the equation:

x - 2 (+2) = -5 (+2)

x = -5 + 2

x = -3

x = -3 is your answer.

~

Answer:

x=-3

Step-by-step explanation:

x-2=5

add 2 to both sides

x-2+2=-5+2

=x=-3

Anser is x =-3

Answer:

ok-

30 peices divided by 6 gives you 5 photographs.

2/3 of 30 is 20 paintings.

so, 20 paintings minus 5 photographs means 15 more paintings than photos.

Answer:

??????????????????????????????????????????

Step-by-step explanation:

Answer:

(50 - 30) = (20 - 5)

Step-by-step explanation:

Hope this helps:)

Complete question :

Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch

Answer:

8x² - 46x + 11 ;

$92.61

Step-by-step explanation:

Side length of square painting = x + 5

Area of square painting = (x +5)²

Side length of Total area of square painting + frame = 3x - 6

Total area = (3x - 6)²

Area of frame :

(3x - 6)² - (x +5)²

(3x - 6)(3x-6)

9x² - 18x - 18x +. 36 = 9x² - 36x + 36

(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25

9x² - 36x + 36 - (x² + 10x + 25)

9x² - 36x + 36 - x² - 10x - 25

8x² - 46x + 11

Area of frame = 8x² - 46x + 11

8(16^2) - 46(16) + 11

= 1323 in²

1323 * 0.07 = $92.61

Range is about subtracting the lowest number from the highest number!

The lowest number is 54.

The highest number is 65.

65 - 54 = 11

Answer:

11

Step-by-step explanation:

Subtract the highest and lowest values 65-54, and you get 11

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

Answer:

205 ≥ 18.25 + 12.5x

Step-by-step explanation:

205 = maximum money

18.25 = parking

12.5x = cost per person where x is the number of people

Answer:

The answer is 16.

Answer:

the proof is in the picture

Step-by-step explanation:

16

Answer:

Use photo math. It will explain the steps even in substitution method