hi! i need help finding the area of this shape! thank you

[tex]a \: = \: square \: area \: + \: triangle \: area \: + \: rectangle \: area \: \\ [/tex]

[tex]a \: = (3 \times 3) + ( \frac{1}{2} \times 3 \times 11) + (3 \times 11) \\ [/tex]

[tex]a = 9 + \frac{33}{2} + 33 \\ [/tex]

[tex]a = 9 + 16.5 + 33[/tex]

[tex]a = 25.5 + 33[/tex]

[tex]a = 58.5 \: \: {ft}^{2} [/tex]

Answer:

[tex]A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\approx9.8524[/tex]

Step-by-step explanation:

Use the Washer Method [tex]A=\pi\displaystyle \int\limits_{a}^{b}{\bigr[R(x)^2-r(x)^2\bigr] \, dx[/tex] where [tex]R(x)[/tex] is the outer radius and [tex]r(x)[/tex] is the inner radius.

If we sketch out the graph, we see that [tex]y=1[/tex] intersects points [tex](1,1)[/tex] and [tex](3,1)[/tex], which will be our bounds of integration.

Here, our outer radius will be [tex]R(x)=(-1-1)=-2[/tex] and our inner radius will be [tex]r(x)=-1-\frac{1}{x}[/tex].

Thus, we can compute the integral and find the volume:

[tex]A=\pi\displaystyle\int\limits^{3}_{1} {(-2)^2-\biggr(-1-\frac{1}{x}\biggr)^2 } \, dx\\ \\A=\pi\displaystyle\int\limits^{3}_{1} {4-\biggr(1+\frac{2}{x}+\frac{1}{x^2} \biggr) } \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {4-1-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {3-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\biggr[3x-2\ln(|x|)+\frac{1}{x}\biggr]\Biggr|_{1}^{3}\\[/tex]

[tex]A=\pi\displaystyle\biggr[\biggr(3(3)-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3(1)-2\ln(|1|)+\frac{1}{1}\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(9-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3+1\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(\frac{28}{3}-2\ln(|3|)\biggr)-\biggr(4\biggr)\biggr]\\A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\\A\approx9.8524[/tex]

In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!

Answer:3

Step-by-step explanation:let the number be x

4x+2=14

4x=14-2

4x=12

divide both sides by 4

4x/4=12/4

x=3

Answer:

10

Step-by-step explanation:

The area if a parallelogram is given by the equation, Area = base * height

In this case, area = 200, and the actual height = 20

So, let's say the base is x

Plug these values in to the Area equation

200 = 20 * x

200 = 20x

Divide both sides by 20 to get x alone

200 / 20 = 20x / 20

10 = x

The base is 10

Answer:

Angle C = 35

Step-by-step explanation:

Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.

There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.

Sum of Interior Angles

The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.

This means that angle C equals 35 degrees.

Isosceles Triangles

The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.

In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.

he was never late negative to affirmative

Answer:

61×10/100

=610/100

=6.1 g

Answer:

6.1g

Step-by-step explanation:

Snack bar: 61g

Apple: 10% of 61g

10/100 = 0.1

0.1 * 61 = 6.1g

There are 6.1g of apple in the snack bar.

Hope this helps!

Answer:

128° is the correct answer...

Step-by-step explanation:

mark me brainliest

Answer:

1. [tex]x=-1; x=15[/tex]
2. Impossible

Step-by-step explanation:

About #1.

There are two ways of reasoning.

Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]

[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]

Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).

#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Find out more on volume at: https://brainly.com/question/1972490

Step-by-step explanation:

[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]

Now convert into lowest term

[tex] \frac{1}{1} [/tex]

1/1 is the answer ....

Answer:

The answer is 40. I'm 100% sure.

Answer:

D.40

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

Answer:

8ab^2

Step-by-step explanation:

(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)

8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2

Answer:

i think its option one

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

you count how many blocks they are from each other

Answer:

1. 4

2. 39.3700787 (just round it up)

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at https://brainly.com/question/7303679.

Step-by-step explanation:

A.) Correct Answer: 12%

Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )

As we know that ,

Rate =SI × 100Principal × Time

Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)

B.) Correct Answer:

Answer:

See below ↓

Step-by-step explanation:

a) I = Prt

b)

Answer:

11 5/4

Step-by-step explanation:

make the denominator the same then add.the common factor of 2 and 7 is 14 so make all the denominator to 14 then u can add.thus having the answer

Answer:

16641

Step-by-step explanation:

Thank you!

Answer:

12 & 23

Step-by-step explanation:

Let's make both of the statements into equations by making the numbers x & y.

"The sum of two numbers is 35" which means the two numbers added together is 35. So, x + y = 35.

"The smaller number is 11 less than the larger number." Let's make x the smaller number. So, x = y - 11.

So our equations are x + y = 35 and x = y -11. Using substitution, we can plug in (y-11) for x in the first equation.

y + y - 11 = 35. Combine the (y + y) to get 2y - 11 = 35. Add 11 to both sides of the equation, to get 2y = 46. Divide both sides by 2 to get y = 23.

Now, we can substitute 23 for y in either one of the equations, but I'm going to use the second one.  x = y - 11 or x = 23 - 11 which equals 12.

Your 2 numbers are 12 and 23. Hope this helps! :)

Answer:

Its mass or size.

The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.

ANSWER:-

-2

Step-by-step explanation:

(abc, def, ghi) is -2

Answer:

Step-by-step explanation:

The mean is calculated by adding up their values, and then dividing them into elements of a set.

All of them should first be added together.

21.2+15.3+20.5+16.8+30.2

Solve.

[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]

The sum of the data set is 104.

The number of terms in the data set is n=5.

Therefore, the mean of the data set is 20.8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 19 and 14

Step-by-step explanation:

19-14 = 5

19x14 =266

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90