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3 years ago

Work our the surface area of this cylinder?

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

$A=522.97\ \text{cm}^2$

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 8 cm

Radius, r = 4 cm

Height of the cylinder, h = 16.8 cm

We need to find the surface area of this cylinder. The formula for the surface area of the cylinder is given by :

$A=2\pi r^2+2\pi rh\\\\=2\pi r(r+h)\\\\=2\times \dfrac{22}{7}\times 4\times (4+16.8)\\\\=522.97\ \text{cm}^2$

So, the surface area of the cylinder is $522.97\ \text{cm}^2$

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In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the len

Andrei [34K]

Answer:

Step-by-step explanation:

every 2 sides of a triangle has to be bigger than the 3rd side

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3 years ago

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olya-2409 [2.1K]

Answer:

See below.

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.

We have the side lengths (x²-1), (2x), and (x²+1).

We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.

So, we can use the Pythagorean Theorem:

$a^2+b^2=c^2$

Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:

$(x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2$

Square each expression:

$(x^4-2x^2+1)+(4x^2)\stackrel{?}{=}(x^4+2x^2+1)$

Combine like terms:

$x^4+(-2x^2+4x^2)+1\stackrel{?}{=}(x^4+2x^2+1)$

Add:

$x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1$

We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.

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3 years ago

a rope is 12.5 feet long is being cut into smaller pieces of rope each 1.25 feet long. how many pieces of rope can be cut from t

Artemon [7]

It’s just simple division, 12.5/1.25=?

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3 years ago

Read 2 more answers

you were 20 inches tall at birth, and 48 inches tall on your 8th birthday. Create a linear equation to represent this equation.

Marianna [84]

Answer:

Part a) $y=3.5x+20$

Part b) $90\ in$

Step-by-step explanation:

Part a) Create a linear equation to represent this situation

Let

x -----> the number of years

y ----> the height in inches

we have the points

(020) ----> at birth the height was 20 inches

(8,48) ---> 8th birthday the height was 48 inches

step 1

Find the linear equation in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

<em>Find the slope m</em>

$m=(48-20)/(8-0)\\m=3.5\ in/year$

<em>Find the value of b</em>

$b=20\ in$ ----> the point (0,20) is the y-intercept

substitute

$y=3.5x+20$

Part b) According to your equation, how tall will you be at age 20?

For x=20 years

substitute the value of x in the linear equation and solve for y

$y=3.5(20)+20$

$y=90\ in$

8 0

3 years ago

In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find

artcher [175]

Answer:

a) 40 possible combinations

b) 8 possible combinations

Step-by-step explanation:

Given:

- Levels of temperature = 4

- Levels of catalysts = 2

- Levels of pressure = 5

Find:

To consider all possible combinations, how many experiments would need to be conducted?

With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels?

Solution:

- We experiment each of the 3 factors to a certain level. So to conduct any experiment we have:

Temperature = 4C1 = 4 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 5C1 = 5 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 4*2*5 = 40 possible combinations

- Similarly if all factors are restricted to two levels only we have:

Temperature = 2C1 = 2 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 2C1 = 2 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 2*2*2 = 8 possible combinations

6 0

3 years ago