How do I do this with explaination too

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

[tex] A = \pi r^{2} + \pi rL [/tex]   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

[tex] L^{2} = H^{2} + r^{2} [/tex]  

[tex] L = \sqrt{H^{2} + r^{2}} [/tex]    (2)

By entering equation (2) into (1) we have:

[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]  

The volume of the cone is:

[tex]V = \frac{1}{3}\pi r^{2}H[/tex]

We can find "r":

[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]

[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]

The area is:

[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]  

The area is:

[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]

Therefore, the area of Design A is 94.65% of the Design B.

I hope it helps you!

Answer: V ≈ 46.6

The formula for a cylinder with a diameter is: [tex]V=\pi (\frac{d}{2})^2h[/tex]

As that being said, we multiply the diameter with pi, then divide the diameter by 2, then multiply the height.

Remember, pi is 3.14.

π → 3.14

Let's break the equation down.

3.14 × 2.4 / 2 × 10.3.

Let's solve.

3.14 × 2.4 / 2 × 10.3 = 46.5961

We solved the equation, but we aren't done. We round the decimal to the nearest tenth.

To do that, find the 5 in the tenth place and take a look at 9. Round up if the digit to the right is greater or equal to 5. Round down if the digit to the right if less than 5.

Therefore, 9 is greater than 5, so we round up.

46.5961 → 46.6

Hence, 46.6 is the answer.

Answer:

v=46.6

Step-by-step explanation:

ok so the shape of the bottle isn't given, but we can assume that it's a cylinder.

with that, we need to 'find' the formula for the volume of a cylinder-

v=πr²h

now, lets plug in what we know-

we were given the diameter, which is the straight line passing from side to side through the center of a body or figure, especially a circle or sphere. but what we need is the radius, so to find that we'll divide the diameter in half-

2.4/2=1.2

now we can plug in the radius and height-

v=π*1.2²*10.3

v=46.6

good luck :)

i hope this helps

have a nice day!

**brainliest would be appreciated**

Answer:

Area=36π ft or 113.1 ft

Circumfrence= 12π ft or 37.7 ft

Step-by-step explanation:

A=πr^2

r=6

A=36π ft or 113.1 ft

C=2πr

C=12π ft or 37.7 ft

Answer:

- 5° < 0 < 7°

Step-by-step explanation:

Given that:

Sunday at noon :

Temperature = 5° below Zero

Wednesday at noon

Temperature = 7° above Zero

Temperature on Sunday noon < 0 < temperature on Wednesday noon

- 5° < 0 < 7°

Answer:

4.0/5

12

The second statement.

Step-by-step explanation:

Any increasing exponential function will always eventually be greater than any other non-exponential function.

The statement that is true from the function given above is:
"Over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing." (Option D)

A function in mathematics is known as an expression of a relationship involving two variables:

It is clear from the number array (attached) that x > 0, f(x) ↑ while x<  0 f(x) ↓.

While for g(x) it is confirmed that 0 <x<2, gx) ↓.

[-2< x< 0, g(x) may ↓ or ↑]

Hence, x from 0 to 2, g(x) from 6 to -16, that has been modified for 22 while the f(x) changes from 0 to 26, and changed from 26,  26 > 22.2

Learn more about functions at:
https://brainly.com/question/2833285
#SPJ2

Answer:

76 feet

Step-by-step explanation:

57 to his right

76 to his front

it looks like atriangle but the breath (dirk and his science teacher are removed

Answer:

B

dy/dx = 4x/y

Sorry if it's wrong!

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17

Answer:

25 greater than or equal to symbol 5.25 + 4g

Step-by-step explanation:

i put the upload so you can see!

brainliest?

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

Answer:

4

Step-by-step explanation:

48/12 to get how many in each page

Answer:

38cm

Step-by-step explanation:

12.6 x 2= 25.2

6.4 x 2= 12.8

25.2 + 12.8= 38

Answer:

X=-5, y=1

Step-by-step explanation:

Add 3x+-3x to get 0. You are left with

-3y=12

4y=-11

add together

y=1

substitute1 in either equation to solve for x

-3x-3y=12

-3x-3(1)=12

-3x-3=12

-3x=15

x=-5

Answer:

AB = sqrt 74 = 8.602

Step-by-step explanation:

simple:

a^2+b^2=c^2

5^2+7^2=74

ab=sqrt 74

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(8−3)2+(2−9)2(8-3)2+(2-9)2

= √52+(−7)252+(-7)2

= √25+4925+49

= √7474 = 8.6023

Distance between points (3, 9) and (8, 2) is 8.6023

Answer:

200

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!

Answer:

200 cm^2

Step-by-step explanation:

For a rectangular prism, V = lwh

V = (10 cm)(4 cm)(5 cm) = 200 cm^2

A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.

• Here's the table .

[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]

Answer:

3

Step-by-step explanation:

7×3=21

21×3=63

63×3=189

Answer:

720cm^2

Step-by-step explanation:

i dont think this is right answer

Answer:

720cm^2

Step-by-step explanation:

pls dont report

Answer:

sorry not sure

Step-by-step explanation:

A: third one

B: second one

C: second one

D: second one

Answer:

Excuse Me, I believe you forgot to put your question. So I highly recommend to repost your question to get the desired answer(s).

Hace a great day!

Yours Truely, TheAnimeCatUwU

Answer:

QUESTION:

56 students signed up to go on the class trip. If this is 70% of the class, how many students are in the class?

ANSWER:

I believe that the answer is that there are 80 students in the class.

I divided 56 by 70% in my calculator and got 80.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Answer:

80

Step-by-step explanation:

Answer:

1)  θ = 130°

2)  θ = 310°

Step-by-step explanation:

We want to find a value of θ such that:

sin(θ) = sin(50°)

We know that sin(90°) = 1

We will have a symmetry around 90°.

Then if we define a constant k

sin(90° + k) = sin(90° - k)

we can define k such that:

90° - k = 50°

90° - 50° = k

40° = k

Then:

sin(90° + 40°) = sin(90° - 40°)

sin(130°) = sin(50°)

then θ = 130°

Now we want to find:

cos(θ) = cos(50°)

We know that cos(0°) = 1

Then we have symmetry around 0°

With the same reasoning than before, we can write:

cos( 0° + k) = cos(0° - k)

We can define:

0° + k = 50°

k = 50°

Then:

cos(50°) = cos(-50°)

But we want  0° < θ < 360°

Knowing that the peridisity of the trigonometric functions is of 360° then:

cos(50°) = cos(-50°) = cos( - 50° + 360°)

cos(50°) = cos(310°)

in this case θ = 310°

Answer:

32x? I'm so sorry if i'm wrong.

Step-by-step explanation:

Answer:

1- line of symmetry

2- line symmetry

3- rotational symmetry

Step-by-step explanation:

im pretty sure because i just did this unit :]

Answer:

-8/9.

Step-by-step explanation:

The slope = difference in y-values / corresponding difference in x values

Slope = (-8-0)/(5 - (-4))

= -8/9.

Answer:

The surface area is 644 meters squared

Step-by-step explanation:

:)

Answer:

B.) 8x + 12

Step-by-step explanation:

Using the Distributive Property the 4 is multiplied by each number inside the parentheses

4*2x = 8x

4*3 = 12

8x+12

Answer: it’s B

Step-by-step explanation: lol I didn’t want to do the math

Answer: 1st,2nd, and 4th one are correct.

Step-by-step explanation: