The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.





What is the area of the base of the solid that is formed?




16π in.²


36 in.²


64π in.²


144 in.²

Answer:

the answer would be B: l = 2x + 3; w = x - 1

Answer:

Step-by-step explanation:

[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]

[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]

[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]

Answer:

a=(x+1)-(x-2)

=x-x+1+2

a=3

Answer:

r≈8ft

Step-by-step explanation:

C=2πr

r=C

2π=50.24

2·π≈7.99594ft

Answer:

720°

Step-by-step explanation:

Formula for sum of interior angles:

(n - 2) x 180

(6 - 2) x 180

4 x 180

720

Answer:

a) 14.14 feet

b) 260.5 square feet

Step-by-step explanation:

A square has an area of 200 square feet.

a) How long is each side in simplest radical form?

Area of a square = (side length)²

Side length = √Area

Side length = √200 square feet

= 14.142135624 feet

≈ 14.14 feet

b) If I increase the length of each side by 2, what is the new area in simplest radical form?

= 14.14 feet + 2

= 16.14 feet

New area = (16.14 feet)²

= 260.4996 square feet

Approximately = 260.5 square feet

Answer:

1/20,2/40

Step-by-step explanation:

Answer:

5x-2

Step-by-step explanation:

(3x)+(x+2)+(x-4)= 5x-2

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

Answer:

3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.

Step-by-step explanation:

Hope this helps :)

Answer:

D

Step-by-step explanation:

The plotted points do not follow a general direction and therefore have no correlation

Answer:

Answer of this question is 8km

Answer: 14 , 6

Step-by-step explanation:

Given

2 hammers and a screwdriver cost 34

1 hammer and 3 screwdrivers cost 32

Suppose the cost of the hammer is x and the cost of the screwdriver is y

[tex]\therefore 2x+y=34\quad\ \ldots(i)\\x+3y=32\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=14;y=6[/tex]

Thus, hammer cost 14 and screwdriver costs 6

Answer:

1441.08 cubic inches

Step-by-step explanation:

Blue

V = L * W * H

L = 15

W = 9

H = 9

V = 9 * 9 * 15 =                       1215 CU IN

YELLOW

Diameter = 6

Height = 8

radius = d/2

radius = 6/2

radius = 3

Volume = pi*r^2 * h

Volume = 3.14*3^2 * 8

Volume =                                226.08    Add

                                               1441.08

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

Answer:

56.52 cm

Step-by-step explanation:

9×2×3.14=56.52

9=r (radius)

2 is part of the formula

3.14= pi

Can I please have Brainliest?

9514 1404 393

Answer:

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

Answer:

The Answer Is E!

Step-by-step explanation:

To solve this equation., you have to try every solution and the only one that perfectly completes both statements is answer E.

We subtract the $1.15 from $2.10 if this is the price of one taco, leaving the price of a small cup of coffees price     ($2.10-$1.15=$0.95 for a small cup of coffee

To check it fits both statements, we multiply the price of one coffee  by 3 ()$0.95×3=$2.85 for three small coffees\

Next, we multiply $1.15 (one taco) by 2 to fill in the expression  ($1.15×2=$2.30)

Finally, we add both the prices of the 3 coffees and two tacos which adds up to a perfect $5.15, justifying the answer

this is difficult lol im scared to attempt this so i wont

Answer:

I think it's like this

Article -6

Description: coffee........ gunguli .

who is interested in statistics?

-karen riche at the French National institute of medical research ,whose work appears in journal neurology

who is the audience?

-7000 men's and women's in the three french cities.

what kind of decision one should make after reading this article?

reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.

Description: coffee........ gunguli

(in here write whole sentence I just did in short cut)

Answer:

19.5°

Step-by-step explanation:

IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.​

We solve the question using Sine rule

= a/sin A = b/sin B

= 21/sin E = 63/sin 90

Cross Multiply

Sin E × 63 = 21 × sin 90

sin E = 21 × sin 90/63

E = arc sin( 21 × sin 90/63)

E = 19.47122°

Approximately = 19.5°

Answer: 0.09

Step-by-step explanation:

;)

Answer:

Right-angled triangle

Step-by-step explanation:

It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle

Answer: x > 15

Step-by-step explanation:

Let the number be represented by x. Based on the information given, we can form an equation as:

(4x - 7) + 6 > 3x + 14

4x - 7 + 6 > 3x + 14

4x - 3x > 7 - 6 + 14

x > 15

Therefore, x include numbers such as 16, ....

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

Answer:

Step-by-step explanation:

500

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ2