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3 years ago

Help Me Please this is due in like 15 Minutes!!!!!

Mathematics

1 answer:

mash [69]3 years ago

4 0

Answer:

3x°+2x°+30°=180°

5x= 180-30

5x=150

x=30°

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In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if

zalisa [80]

Question Continuation:

if (a) the books can be arranged in any order?

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800 ways

(b) 17280 ways

Step-by-step explanation:

Given

$Novels = 5$

$Mathematics = 4$

$Biology = 1$

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

$N = Mathematics + Novel + Biology$

$N = 4+5+1$

$N = 10$

The number of arrangement is:

$10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1$

$10! = 3628800\ ways$

(b):

If the mathematics books are together, there are 4! different arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

The mathematics books as 1
The novels as 1
The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

$Total = 4! * 5! * 3!$

$Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1$

$Total = 17280\ ways$

6 0

3 years ago

Explain how to find the slope of the line.

Marina CMI [18]

Step-by-step explanation:

$slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2}$

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

<h3>#CMIIW</h3>

3 0

3 years ago

Lelana bought 21 packs of washable crayons and x packs of non-washable crayons. Write an ex- pression to show how many crayons L

scoundrel [369]

Answer:

$21 + x$ packs

Step-by-step explanation:

Given

$Washable \to 21$

$Non \to x$

Required

The total packs bought

This is calculated as:

$Total = Washable + Non$

$Total = 21 +x$

3 0

3 years ago

Which of the following sets are closed under multiplication? Select all that apply. integers irrational numbers whole numbers po

s2008m [1.1K]

I think the appropriate answer is, the integers, polynomials and whole numbers since of them are closed under multiplication.
Integers are whole numbers, while polynomials are expressions with more than two algebraic terms.

5 0

4 years ago

{3х + 4y = 6<br>{7х + 8y = 10

AleksandrR [38]

(-2,3) or x = -2, y = 3

3 0

3 years ago