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2 years ago

Jane arranges m chairs in each of n rows to seat x people.

1 answer:

8 0

The formula to find the number of chairs in each row is m = x ÷ n,
where
m - the number of chairs,
n - the number of rows,
x - the number of people.

If 60 people attend the meeting and each row has 4 chairs, there are 15 rows.
This is assumed using the above formula:
m = x ÷ n

If:
x = 60
m = 4

Then:
4 = 60 ÷ n
⇒ n = 60 ÷ 4
⇒ n = 15

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Anyone know the answers 11 through 20?

Evgen [1.6K]

Step-by-step explanation:

11) x^5

12) 5x^2

13) x+21

14) 2x-8

15) 3^3

=3*3*3

=27

16)2^5

=2*2*2*2*2

=32

17) 5^4

=5*5*5*5

=625

18)2 times a number p squared

19)3 times a number m fifth power

20)the addition of half a number and 2

5 0

2 years ago

Let s be the annual sales (in millions) for an electronic device. The value of s is 13.9 for 2009. What does sequals13.9 mean i

jok3333 [9.3K]

S would be the annual sales of the electronic device. In this case, that number is in the millions.

Therefore, our 13.9 becomes 13.9 millions.
Or written out, it would be: 13,900,000

4 0

2 years ago

M! = 4125. What is m? n! = 281600. What is n?

Oksanka [162]

Step-by-step explanation:

m ~ 6.9

6.9! = 4122.7

4122.7 average 4125

n ~ 8.9

8.9! = 289867.7

289867.7 average 281600

4 0

2 years ago

Do all ratios compare a part to a whole number? Explain

STALIN [3.7K]

Yes and no...

A ratio can be defined in a new ways. Let's say I have a party with twelve people, four of whom are male and eight of whom are female. The ratio of male to female guests would be written as 4:8, neither of which is the whole number (12) but which instead relate parts of the whole. I could alternatively write the ratio of male guests to total guests as 4/12. This does compare it to the whole. A ratio relates two quantities by showing how many times one quantity is contained within or contains another quantity.

By the phrasing of your question, I'm not sure if you maybe mean whole number as an integer. If that's the case, then yes, ratios are almost always written as integers. If I had something like 8.5:7, I would multiply it by two to get 17:14, which is a correct ratio.

4 0

3 years ago