All categories

2 years ago

What is the ratio of the volumes of two similar prisms if the ratio of their sides is 3 : 7?

Mathematics

1 answer:

scoray [572]2 years ago

5 0

Answer:

Step-by-step explanation:

The ratio of the sides is the same as the one-to-one measure of the similar figures. To get to the ratio of their areas, square the one-to-one values. To get to the ratio of their volumes, cube the one-to-one values.

If the one-to-one is 3:7, then the ratio of their volumes is

3³:7³ which is 27:343

You might be interested in

Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and some contained 6 batteries. She bought a t

NARA [144]

Answer:

She bought 7 battery packs containing 6 batteries

Step-by-step explanation:

4bx5= 20 batteries

6bx7=42 batteries

42+20=62

7 0

2 years ago

A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What

Andreas93 [3]

Hi!

Add the student together to get the number of students

10+4 = 14

Divide the girls by half

4/2 = 2

2/14 is the answer for this question.

<em>Hope this helps! Have an amazing day <3</em>

<em />

4 0

3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

$P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40$

$P(x) = x^3 - 10x^2+ 34x-40$

5 0

2 years ago

)Ben drives 405 miles on 15 gallons. How many miles does Ben drive on one gallon?

Vesnalui [34]

405miles÷15gallons=27miles

3 0

3 years ago

Read 2 more answers

Forms of Account Ownership. When would you recommend using an individual account, a joint tenancy with right of survivorship acc

romanna [79]

The Forms of Account Ownership that i would recommend is the use of:

An individual account - when it is a sole business.
A joint tenancy with right of survivorship account - Spouse or married couples, siblings .
A tenancy by the entirety account - Married couples.

<h3>What is a joint account with right of survivorship?</h3>

Joint tenants that has the right of survivorship (JTWROS) is known to be a form of ownership where the full account passes to the other tenant when there is the death of one of the tenants.

The tenancy that is best for married couples is the one that is mostly used for a married couple and this is known to be Tenants by the Entirety.

Therefore, The Forms of Account Ownership that i would recommend is the use of:

An individual account - when it is a sole business.
A joint tenancy with right of survivorship account - Spouse or married couples, siblings .
A tenancy by the entirety account - Married couples.

Learn more about Account Ownership from

brainly.com/question/25734244

#SPJ1

8 0

1 year ago