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Oksi-84 [34.3K]

3 years ago

10

A 45-inch string is cut into 2 pieces. If the ratio of the longer piece to the shorter piece is 3:2, what is the length of the s

horter piece?
a. 9
b. 12
c. 18
d. 27
e. 36

1 answer:

Amiraneli [1.4K]3 years ago

8 0

The answer is 30 inches. All the answers above are incorrect.

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A tangent is >insert answer here< to the radius that shares the point of tangency

tatuchka [14]

A tangent line is always perpendicular to the radius that shares the point of tangency. In other words, where your tangent line touches the circle (at only one point), that line is perpendicular to the radius at that point.

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3 years ago

5. A function is given below.<br> f(x) = 3x2 - x + 6<br> What is f(2)?<br> 2

goldenfox [79]

Answer: 10

Step-by-step explanation:

f(x)= 3 (2) - x + 6

f(x)= 6 - 2 + 6

f(x)= 4 + 6

f(x) = 10

7 0

2 years ago

Read 2 more answers

A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9

zaharov [31]

Put the other line in point slope form...(solve for y :D )

3y=15x+9

y=5x+3, so this line has a slope of 5

For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...

s1*s2=-1

So for the other line to be perpendicular to the first:

5m=-1, m=-1/5, thus our other line (so far) is:

y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":

-1=b-(-8)/5

-1=b+8/5

-1=b+1.6

b=-2.6

So the perpendicular line that contains the point (-8,-1) is:

y=-0.2x-2.6

7 0

2 years ago

A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a t

USPshnik [31]

Answer:

The probability is $P(K) = \frac{ 28 }{195}$

Step-by-step explanation:

From the question we are told that

The number of green marbles is $n_g = 3$

The number of red marbles is $n_b = 5$

The number of red marbles is $n_r = 7$

Generally the total number of marbles is mathematically represented as

$n_t = n_r + n_g + n_ b$

$n_t = 7 + 3 + 5$

$n_t = 5$

Generally total number of marbles that are not red is

$n_k = n_g + n_ b$

=> $n_k = 3 + 5$

=> $n_k = 8$

The probability of the first ball not being red is mathematically represented as

$P(r') = \frac{n_k}{n_t}$

=> $P(r') = \frac{ 8}{15}$

The probability of the second ball not being red is mathematically represented as

$P(r'') = \frac{n_k - 1}{n_t -1}$

=> $P(r'') = \frac{ 8 -1 }{15-1}$ (the subtraction is because the marbles where selected without replacement )

=> $P(r'') = \frac{ 7 }{14}$

The probability that the first two balls is not red is mathematically represented as

$P(R) = P(r') * P(r'')$

=> $P(R) = \frac{ 8}{15} * \frac{ 7 }{14}$

=> $P(R) = \frac{ 8 }{30}$

The probability of the third ball being red is mathematically represented as

$P(r) = \frac{n_r}{ n_t -2}$ (the subtraction is because the marbles where selected without replacement )

$P(r) = \frac{7}{ 15 -2}$

=> $P(r) = \frac{7}{ 13}$

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

$P(K) = P(R) * P(r)$

$P(K) = \frac{ 8 }{30} * \frac{7}{ 13}$

=> $P(K) = \frac{ 28 }{195}$

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3 years ago

You dispense a quantity of 180 tablets for a prescription written for Ibuprofen 800mg to be taken by mouth 3 times a day. How ma

kap26 [50]

You have 180 tablets right? You also have to take it three times a day.

180 pills /3 pills a day = <u>60 days</u>

<u></u>

3 0

2 years ago