MATHEMATICS MIDDLE SCHOOL

If a cylinder holds a volume of 100 cm3, and is 30 cm tall, which is the area of the bottom of the cylinder?

Answers

Answer 1

Answer:
=πr2h

Area of circle
=πr2

=V/h
=100/30
≈3.33cm

Answer 2

Answer:

Well, lets break this down.

Volume = area of base * height

we know that the volume is 100 and the height is 30 so we can work backwards

100 = b * 30

now divide both sides by 30

(100/30) = b * (30/30)

the height cancels itself out and we are left with...

base = 3.33

therefore your answer is 3.33 cm^2

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Solve using substitution technique; -3x+y=2, 12x-4y=-8

Answers

The first equation is easier to solve for y than is the 2nd: y = 3x+2. Subst. 3x+2 for y in the second equation:

12x - 4(3x+2) = -8

Expanding, 12x =12x -8 = -8

This is always true, no matter the value of x. Thus, the solution set is "all real numbers."

Do the ratios 20:8 and 7:3 form a proportion?

Answers

Answer:

No, the ratios 20:8 and 7:3 do not form a proportion.

Step-by-step explanation:

If it is 20:8 to 7:2.8 then it would form a proportion.

Hope this helps.

No this does not form a proportion

What is 17% as a fraction in simplest form

Answers

It's 17 over 100, it goes no lower because 17 is a prime number

Answer:

$(17)/(100)$

A trinomial with a leading coefficient of 3 and a constant term of -5

Answers

Answer:

A trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Step-by-step explanation:

To find : A trinomial with a leading coefficient of 3 and a constant term of -5 ?

Solution :

A trinomial is a polynomial with three terms is in the form of $ax^2+bx+c$ .

where, a is the leading coefficient, b is the middle coefficient of x and c is the constant.

A trinomial with a leading coefficient of 3 and a constant term of -5.

Here, a=3,c=-5 and consider b=1,

So, $3x^2+x-5$

Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Final answer:

A trinomial with a leading coefficient of 3 and a constant term of -5 can be represented as 3x^2 + 4x - 5, where 3 is the leading coefficient and -5 is the constant term.

Explanation:

In mathematics, a trinomial is an algebraic expression made up of three terms. In your case, you are asking for a trinomial with a leading coefficient of 3 and a constant term of -5. An example of such a trinomial could be 3x2 + 4x - 5. Here, 3 (the coefficient of the x2 term) is the leading coefficient, and -5 (the term without any variable) is the constant term.

Learn more about Trinomial here:

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4)The sample space for a roll of two number cubes is shown in the table.one-ninth
one-fourth
one-third
four-ninths

5)The two numbers rolled can be added to get a sum. Find P(sum is even).

one-fourth
fifteen over thirty-six
one-half
three-fourths