All categories

3 years ago

A rectangle has an area of 180 square centimeters what are the possible dimensions

Mathematics

1 answer:

Lana71 [14]3 years ago

3 0

The easiest way is to find all it's factors.

Factors:
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Then pair them with it's corespondent:
Answer:

1,180
2,90
3,60
4,45
5,36
6,30
9,20
10,18
12,15

The premier of a rectangle is length times width so if you multiply each corespondent together then you would get 180.

You might be interested in

Write 22 decreased by 6 as an algebraic expression

Alona [7]

Answer:

22-6

Step-by-step explanation:

there isnt a variable so the answer is 16

6 0

2 years ago

Read 2 more answers

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

3 years ago

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p

Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0

3 years ago

Need help with all them plz and thank you and may god bless you

Elena-2011 [213]

1) Flounder
2) The second option(its blurry)
3) 4
4) 1
5) I think 52(its blurry)
6) 12
7) 2 1/3
8) 51
9) 5/6
10) 38
11) 40
12) The error is the negative sign because when finding absolute value the answer can never be zero since absolute value is the how far the thing is from zero, unless the negative sign is outside the absolute value lines.
13) >
14) =
15) <
16) >
17) a: your boat (18) friends boat (23).
b: your friends boat is farther behind the winning boat.
18) -2, 0, 1, 3, 5
19) -5, -3, 1, 3, 5
20) Always True
21) Never True
22) Sometimes

P.S You should give more points for this and you should get tutoring or you won't learn how to do this its pretty easy just a suggestion not calling you dumb or anything.

4 0

3 years ago

Graph. f(x)=2|x+2|+1 Use the Ray tool to graph the absolute value function.

Anna007 [38]

Answer:

−

(

)

Step-by-step explanation:

3 0

2 years ago