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2 years ago

Find the angle between the hands of a clock at 5:15. a. 60 b. 67.5 c. 75

Mathematics

2 answers:

lidiya [134]2 years ago

7 0

The answer is:

B. 67.5

iragen [17]2 years ago

3 0

I believe the answer is 67.5 after I checked it over and over again.

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If the population of a country grows at a rate of approximately 5 percent per year, the number of years required for the populat

iogann1982 [59]

THe number of years would be 20 years.

8 0

2 years ago

How do I answer a b c d e

goldenfox [79]

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2 years ago

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

Allushta [10]

Answer:

$P(E|A)= \frac{10}{11}$

Step-by-step explanation:

Given

Two rolls of die

$E \to$ one of the outcomes is 6

$A \to$ atleast one is 6

Required

P(E|A)

First, list out the outcome of each

$E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

So:

$P(E|A)= \frac{n(E\ n\ A)}{n(A)}$

Where:

$E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$n(E\ n\ A) = 10$

$n(A) = 11$

So:

$P(E|A)= \frac{10}{11}$

7 0

2 years ago

What is the slope of the line that contains the point (13,-2) and (3,-2)

ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

Solution:

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

$(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)$

Substituting the values in formula, we get,

$m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0$

Thus the slope of line is 0

3 0

2 years ago

Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Rufina [12.5K]

Answer:

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

$x(t)+y(t)=k,\text{ where $k$ is some constant}$

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

$\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]$

Remember that the derivative of a constant is always 0. Therefore:

$\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0$

And by subtracting dy/dt from both sides, we acquire:

$\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}$

Hence, our answer is B.

3 0

2 years ago

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