Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)

Work Shown:

r = 3 is the radius

h = 3 is the height

LA = lateral area of the cone

LA = pi*r*sqrt(r^2 + h^2)

LA = pi*3*sqrt(3^2+3^2)

LA = pi*3*sqrt(18)

LA = pi*3*3*sqrt(2)

LA = 9*sqrt(2)*pi .... exact area in terms of pi

LA = 39.9859464434252 ... approximate area

LA = 40.0 ......... rounding to nearest tenth

I used my calculator's stored version of pi to get the approximate answer.

Note how the slant height L = sqrt(r^2+h^2) which can be shown through the pythagorean theorem.

Answer:

[tex] 6\sqrt{5} units [/tex]

Step-by-step Explanation:

The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).

Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(6, 4) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]

[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]

[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]

[tex] d = \sqrt{144 + 36} [/tex]

[tex] d = \sqrt{180} [/tex]

[tex] d = \sqrt{36*5} [/tex]

[tex] d = 6\sqrt{5} [/tex]

The length of the wall = [tex] 6\sqrt{5} units [/tex]

Answer:

B. (−2, 3)

Step-by-step explanation:

To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.

x: (5 + (-9))/2 = -2

y: (-1 + 7)/2 = 3

Midpoint: (-2, 3)

Answer: B. (−2, 3)

Answer:

b

Step-by-step explanation:

-9+5=-4÷2=-2

-1+7=6÷2=3

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan(x + y) = [tex]\frac{tanx+tany}{1-tanxtany}[/tex] , tan(x - y) = [tex]\frac{tanx-tany}{1+tanxtany}[/tex], tan [tex]\frac{\pi }{4}[/tex] = 1

tan2x = [tex]\frac{2tanx}{1-tan^2x}[/tex]

Consider the left side

tan([tex]\frac{\pi }{4}[/tex] + Θ ) - tan([tex]\frac{\pi }{4}[/tex] - Θ )

= [tex]\frac{tan\frac{\pi }{4}+tan0 }{1-tan\frac{\pi }{4}tan0 }[/tex] - [tex]\frac{tan\frac{\pi }{4}-tan0 }{1+tan\frac{\pi }{4}tan0 }[/tex]

= [tex]\frac{1+tan0}{1-tan0}[/tex] - [tex]\frac{1-tan0}{1+tan0}[/tex]

= [tex]\frac{(1+tan0)^2-(1-tan0)^2}{(1-tan0)(1+tan0)}[/tex]

= [tex]\frac{1+2tan0+tan^20-1+2tan0-tan^20}{1-tan^20}[/tex]

= [tex]\frac{4tan0}{1-tan^20}[/tex]

= 2 [tex]\frac{2tan0}{1-tan^20}[/tex]

= 2 tan2Θ = right side

Answer:

6cot 50

Step-by-step explanation:

Tan 50=6/x

x= 6/(tan 50)

x= 6cot 50°

Answer:

? = 6 cot 50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 50 = 6 /?

? tan 50 = 6

? = 6 / tan 50

We know that 1 / tan 50 = cot 50

? = 6 cot 50

Answer:

  x = -3

Step-by-step explanation:

Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.

  [tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]

Answer:

your answer y=4 x=6

Step-by-step explanation:

Step-by-step explanation:

two times of a number added to 18 gives 70

what is value of X.

2x + 18 = 70

2x = 52

X = 26 is answer

can u talk to me in comment section

The system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].

A variety of problems can be solved using the system of equations.

Consider a simple problem of purchasing notebooks and pens from the market.

You bought some pens at $2 per pen and some notebooks at $4 per notebook from the market. At the end of shopping, you have spent $40 and you got 15 objects in your bag.

Write the given situation in the form of equations.

Let x be the number of pens bought and y be the number of notebooks bought.

So, the equations can be made as,

[tex]x+y=15\\2x+4y=40[/tex]

Therefore, the system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].

For more details, refer to the link:

https://brainly.com/question/12895249

Answer:

Every 18 miles he uses 3 gallons

divide this:

18 ÷ 3 = 6 miles per gallon

30 miles = 30 ÷ 6 = 5 gallons

7 gallons = 7 x 6 = 42 miles

48 miles = 48 ÷ 6 = 8 gallons

10 gallons = 10 x 6 = 60 miles

Hope this helps :D

Answer:

lets start with finding the slope

m=7-(-1)/4-3

m=8

now we can choose either of the 2 points given and the slope and plug that into the point slope form

y-7=8(x-4)

y-7=8x-32

y=8x-25

and that is your equation

Answer:

y = 8x - 25

Step-by-step explanation:

The equation of a line is y = mx + b

To find the slope use y2-y1/x2-x1

When you plug it in it will be 7 + 1/4 - 3 (8)

Now it is y = 8x + b

Lastly you need to plug in a coordinate to the equation to find b

7 = 8(4) + b (-25)

Answer:

$1200

Step-by-step explanation:

Since the value of the car depreciates $325 a year.

After 4 years it would be 1300, becuase $325 × 4 = $1300.

So, $2500 - $1300 = $1200

Answer:

option(c) 28

Step-by-step explanation:

(−7)(2)(−2)

=> (-14) x (-2)

=> 28   [negative x negative = positive]

Hey there!

(-7)(2)(-2)

= -14(-2)

= 14(2)

= 28

Answer: 28

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

Answer:

190 g

Step-by-step explanation:

Mass     =Density

Volume

Let the mass be x.

x/200=0.95

x=200 x 0.95

x =  190 g

Thank you!

Answer:

E            H

F            F

G           E

I hope I helped.

Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

━━━━━━━☆☆━━━━━━━

▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Your picture is black

Answer:

[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]

Step-by-step explanation:

Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]

Yan has finished = [tex]\frac{3}{5} * 45[/tex]

=> 3 * 9

=> 27 problems

Yan has problem left:

=> 45 - 27

=> 18 problems

1 problem = [tex]1 \frac{4}{5}[/tex] of a minute

1 problem = 1.2 minutes

18 problems = 1.2 * 18

18 problems = 21.6 minutes

18 problems ≈ 22 minutes

Answer:

[tex]\boxed{\sf 32 \ minutes}[/tex]

Step-by-step explanation:

Yan finished 3/5 of 45 math problems.

[tex]\frac{3}{5} \times 45=27[/tex]

Yan finished 27 math problems.

[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]

Yan has [tex]45-27=18[/tex] problems left.

1 problem = 1.8 minutes

18 problems = [tex]1.8* 18=32.4[/tex] minutes

32.4 minutes to nearest minute will be 32 minutes.

Answer:

4) 3(x+2)

5) Cannot be factored

6)3(4x+10y)

Step-by-step explanation:

4)3x+6

3(x+2)

Proof:

3(x+2)

3x+6

5)2x-15

Cannot be factored.

6)12x+30y

3(4x+10y)

Proof:

3(4x+10y)

12x+30y

Hope this helps ;) ❤❤❤

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

Answer:

24c

Step-by-step explanation:

6 * c * 4 = 6 * 4 * c = 24c

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

24c

Step-by-step explanation:

6c * 4 is 24c. You multiply normally and make it c :)

Answer:

B number is correct answer

Answer:B number is correct answer

Step-by-step explanation:

Answer:

w=6

Step-by-step explanation:

First, we want to isolate the variable.

Add 6 on both sides

[tex]\frac{3w+5w}{2} =24[/tex]

Multiply both sides by 2.

3w+5w=48

Combine like terms.

8w=48

Divide both sides by 8.

w=6

I hope this helps!

pls ❤ and give brainliest pls

Answer:

b and d

Step-by-step explanation:

Answer: A) 67[tex]\frac{11}{117}[/tex] (or) 67.09

              B) No. of people neither children nor women

                  = 468-(314+75)

                  = 79

                  = [tex]\frac{79}{468}[/tex]*100

                  = 16[tex]\frac{103}{117}[/tex] (or) 16.88

I hope it helps. Have a great day :)

Answer:

a) =  67.10 % or 67.09%

b) = 84.10% or 83.97%

Step-by-step explanation:

a = (314/468)*100 = 67.094017094 %

b = (393/468)*100 = 83.9743589744 %  (edited 393)

To find b we have to can use simple subtraction to find Men = m = ?

If Women = w = 314  and Children = c = 75

Eliminate the (w = 314) with (c=75) from total to find (m=?)

w+c+m= 468

c+m = 468-w = 468-314 = 154

m = 154-c = 154-75 = 79

m = 79

b) Total sum that were not children = w+m = 314 + 79 = 393

or = 468-314 = 154

then 154 - 79 = 75

with = 468-75 = 393

then find percentage;

(393/468) * 100 = 83.9743589744

Answer:

Step-by-step explanation:22

Answer:

A

Step-by-step explanation:

From the graph we can notice that the coordinates of the poinrs x and y are:

● x(-2,0)

● y(3,-2)

There are many methods to find the distance between x and y. We will use the distance formula.

Let d be the distance between x and y.

● d = √[(-2-3)^2 + (0-(-2))^2]

● d = √[(-5)^2 + 2^2]

● d = √(25+ 4)

● d = √(29)

The other method was using the pythagorian theorem. d is the hypotenus.

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

Hope this helps you