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Sloan [31]
3 years ago
10

Multiply using the distributive property

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0
What grade is that is that 4th or 5th grade
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Best way to work out planet torrid take 6 years to complete one orbit , planet monde blanc takes 9 years in the year 2035 both p
rusak2 [61]
So... hmmm dunno either planet, I assume they're on the solar system and therefore orbiting the same planet, the sun, or whoever.

but, in short, what I can make out is, when do 6 and 9 have the same LCM, least common multiple, or a factor that's common to both 6 and 9, and therefore meet at such.

well, let's do a prime factoring of 6, is 2 and 3 only, ok,
now a prime factoring of 9, is 3 and 3 only, ok.

now, we have 3 as common to both, so, to get an LCD or LCM, we'll use repeated factors but once only for each instance for each.

therefore   \bf \stackrel{9}{3,3}\qquad \stackrel{6}{2,3}\qquad \stackrel{LCM}{3,3,2}\implies 18

so, after 18 years.

\bf \cfrac{6}{18}\implies \cfrac{1}{3}\impliedby \textit{torrid will be orbiting one-third of the way}
\\\\\\
\cfrac{9}{18}\implies \cfrac{1}{2}\impliedby \textit{monde blanc will be orbiting half-way}
8 0
3 years ago
Please help. I’ll mark you as brainliest if correct!!!
raketka [301]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
A $70 jacket is on sale for 20% off. Each of the following strategies could correctly be used to find the amount of the discount
liraira [26]

Answer:

divide $70 by 0.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

r^2=x^2+y^2\to r=\sqrt{x^2+y^2}

We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1

\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}

8 0
3 years ago
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in
ASHA 777 [7]

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003

There are 3003 different lineups that can be chosen.

6 0
3 years ago
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