HELP FIND THE ANGLES !!!

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

angle 1 =60

angle 2 = 120

angle 3 = 60

angle 4 = 120

Step-by-step explanation:

You might be interested in

How is the precision used in measuring the length and width of a rectangle related to the precision of the resulting area measur

steposvetlana [31]

The more precise your length and width are, the more precise your area measurement will be. Take this as example:

width = 9.3045 mm
length = 8.023 mm

Let's first round up:

width = 9.3 mm
length = 8 mm
Area = 9.3*8 = 74.4 mm

But if you are more precise with the width and length:

width = 9.3045 mm
length = 8.023 mm
Area = 9.3045 * 8.023 = 74.6500035 mm

The more precise your length and width are, the more precise your area is. Also, as you can see the more precise your length and width are, the more your area will increase and will be more accurate.

3 0

3 years ago

A particular fruit's weights are normally distributed, with a mean of 618 grams and a standard deviation of 24 grams. If you pic

Lorico [155]

Answer: The probability is 0.5136.

To find this probability we have to find the range of the values on the normal distribution table.

First, we need to find the percent for each making z-score.

Lower end: 50/24 = 2.08 = 0.0183

Upper end: 2/24 = 0.08 = 0.5319

Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.

0.5319 - 0.0183 = 0.5136

There is a 51.36% chance they are in the given range.

3 0

3 years ago

It is estimated that t-weeks into a semester, the average amount of sleep a college math student gets per day S(t) decreases at

goldenfox [79]

Answer:

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

Step-by-step explanation:

Before to getting started ,we have to consider the function which represents sleep decline rate S'(t) = $-3te^{t^{2} } \\$

Since this function is interpreted in this case as a rate of change, we can deduce this funcion is the first derivative of the function of average amount of sleep (S(t)).

In order to find S(t), we will integrate S'(t)

$\int\limits^ {} -3t3e^{t^{2} } \, dx \\$

This case corresponds to intergration by substitution

Substituting u= $x^{2} \\$

Computting the differential of u

$\frac{du}{dt} =2tdt\\$

Now, let's go back to our integral and write it in terms of u, using both definition of u and its defferential.

$\int\limits^{}-3te^{u} \, \frac{1}{2t}du \\\\\int\limits^{}\frac{-3}{2} e^{u}du\\$

The integral of a exponential function is itself. So the result is:

$\frac{-3}{2} e^{u} +c$

Now substitute u back in:

$\frac{-3}{2} e^{t^{2} } +c$

This answer correspond to function of average amount of sleep.

We know that when the semester begins (t=0) , math students sleep an average of 8.1 hours per day so we will use this info in order to find the value of c.

$s(0)=\frac{-3}{2} e^{0^{2} } +c=8.1\\\\\frac{-3}{2} +c=8.1$