A dog pen 10 ft by 30 ft is needed. You need to decide how much fence is needed. What concept is used to solve the problem?

Really need big help on this one please

Valentin [98]

Answer:

Answer equals to 55.75ftsquare

Step-by-step explanation:

7 0

3 years ago

I don't think I'm doing this right heeellppp

Feliz [49]

Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.

The least common multiple of these three numbers is

$\mathrm{lcm}(8,12,75)=600$

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.

Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:

$8=2^3$
$12=2^2\times3$
$75=3\times5^2$

The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

$2^3\times3\times5^2=8\times3\times25=600$

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)

8 0

3 years ago

A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r

dusya [7]

Step-by-step explanation:

$\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.$

$\text{For a given area and circumference}:\\\\A=153.86,\ C=43.96,\ r=7\\\\\dfrac{A}{C}=\dfrac{153.86}{43.96}=3.5=\dfrac{7}{2}=\dfrac{r}{2}\\\\\dfrac{A}{C}=\dfrac{r}{2}$

4 0

3 years ago

A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and wan

Mademuasel [1]

Answer: $H_0:\mu=40$

$H_0:\neq40$

Step-by-step explanation:

A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
An alternative hypothesis says that there is a statistical significance between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. $\mu=40$ , since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

$\mu\neq40$

⇒ Null Hypothesis : $H_0:\mu=40$

Alternative hypothesis : $H_0:\neq40$

5 0

3 years ago

What is a convex polygon

azamat

Answer:

Step-by-step explanation:

a convex pentagon is basically just a pentagon which sides are either less than or equal to a straight angle

7 0

3 years ago