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3 years ago

7)If the circumference of a circle is 287, what is theradius of that circle?

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Answer:

287/2π

Step-by-step explanation:

We know that the equation for the circumference is πd, so with πd=287, we can divide both sides by π to get d, the diameter, equal to 287/π. Then, we can divide both sides by 2 to get d/2, or the radius, equivalent to 287/2π

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PLEASE ANSWER ASAP!!!!

Arlecino [84]

We'll use the notation $\textrm{Arcsin } x$ for the principal value and $\arcsin x$ for all the values:

$\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k$

Part I

$\sin(\theta/2) = \frac 1 2$

$\theta/2 = \arcsin \frac 1 2$

Part II. In our range we can write

$\sin(\theta/2) = \sin(\frac \pi 6)$

$\theta/2 = \frac \pi 6 \textrm{ or } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}$

Part III.

$\theta = \frac \pi 3 \textrm{ or } \theta = \frac{5\pi}{3}$

Part IV.

$\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k$

$\theta = \frac \pi 3 + 4 \pi k \textrm{ or } \theta = \frac{5 \pi}{3} + 4\pi k \quad \textrm{integer } k$

5 0

2 years ago

Jerome bought 15 videos from a department store. Some videos were new releases, x, which cost $19, and some videos were classics

Neporo4naja [7]

Answer:

The system of equations is

$x+y=15$

$19x+8y=164$

Step-by-step explanation:

Let

x------> the number of videos of new releases

y-----> the number of classics videos

we know that

$x+y=15$ ------> equation A

$19x+8y=164$ ------> equation B

Using a graphing tool

Solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is $(4,11)$

see the attached figure

therefore

the number of videos of new releases is $4$

the number of classics videos is $11$

3 0

3 years ago

Read 2 more answers

Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,

kicyunya [14]

Answer:

E. 7/40

Step-by-step explanation:

The following probabilities are given:

P (Alice Wins) = 1/5

P (Benj. Wins) = 3/8

P (Carol Wins) = 2/7

We can deduce the probabilities for losses:

P (Alice Loses) = 1 - P (Alice Wins) = 1 - 1/5 =4/5

P (Benj. Loses) = 1 - P (Benj. Wins) = 1 - 3/8 = 5/8

P (Carol Loses) = 1 - P (Carol Wins) = 1 - 2/7 =5/7

The possible outcomes that two players win and one player loses are as follows:

Alice Wins, Benj Wins, Carol Loses

Alice Loses, Benj Wins, Carol Wins

Alice Wins, Benj Loses, Carol Wins

We can compute the probabilities of each of the 3 outcomes above:

P(Alice Wins, Benj Wins, Carol Loses) = (1/5) x (3/8) x (5/7) = 3/56

Alice Loses, Benj Wins, Carol Wins = (4/5) x (3/8) x (2/7) = 3/35

Alice Wins, Benj Loses, Carol Wins = (1/5) x (5/8) x (2/7) = 2/56

P ( 2 wins and 1 loss)

= 3/56 + 3/35 + 2/56

= 343 / 1960

= 7/40

7 0

2 years ago

Read 2 more answers

19 students were surveyed on the number of hours of Netflix they watched last week.

gogolik [260]

Answer:

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

4 0

3 years ago

Read 2 more answers

3. Max packs cereal boxes into a larger box. The volume of each cereal box is 175 cubic inches. Which is the best estimate for t

solong [7]

C.
because 24 × 175 = 4,200

5 0

2 years ago

7)If the circumference of a circle is 287, what is theradius of that circle?​

7)If the circumference of a circle is 287, what is theradius of that circle?