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3 years ago

What is the volume of a cylinder? Give an informal argument for the formula.

Mathematics

2 answers:

aleksandrvk [35]3 years ago

7 0

V = πr^2h; A cylinder is like a stack of circles, so it's the area of the circles times the height.

gavmur [86]3 years ago

6 0

Answer:

V = π $r^{2}$ h

Step-by-step explanation:

The volume is the area base multiplied by the height of the cylinder. It is like a stack of circles, so it's the area of the circles times the height.

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A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of e

dmitriy555 [2]

The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5 ...(1)

0.2x + 0.5y = 105 ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

Learn more about the linear equation here:

brainly.com/question/11897796

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2 years ago

A company makes $300 each month selling its products to the public. The company has $435 in its bank account. How many months of

Galina-37 [17]

Answer:

300x = 435, given x represents the amount of months.

So 435 divided by 300 is 1.45 months for that amount.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How do I round off to the nearest decimal place

Marrrta [24]

First, find the digit in the place you are rounding to. Look at the digit one place to the right. If the digit is less than 5, round down. If the digit is 5 or greater, round up.
For example: round 1.86 to the nearest tenth
Look at the tenth digit (8). The number to the right of it is 6. Since it’s above 5, round the 8 up to 9. So you would get 1.9.

If it was 1.84, since 4 is less than 5, you would not round the 8, and you would get 1.8

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3 years ago

Can someone give me some 4th grade math problems

stich3 [128]

1. What is 32×25?

2. What is 856×4?

3. What is 567×40?

Show your work. Sorry if these are too hard.

8 0

3 years ago

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Find all real zeros of f(x) = 2x^2 +5x-18 algebraically.

den301095 [7]

2x2-5x-18=0

Two solutions were found :

x = -2
x = 9/2 = 4.500
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2x2 - 5x) - 18 = 0
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-5x-18

The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .

-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization

Equation at the end of step 2 :

(2x - 9) • (x + 2) = 0
Step 3 :

Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

4 0

3 years ago

Read 2 more answers