Mai travels 90 miles in 2 hours by boat. At this rate,how far does Mai go in 3 hours?

Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a regular dodecagon.

IgorLugansk [536]

See the picture to better understand the problem

we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°

therefore

the answer Part a) is
the measure of the angle formed by two consecutive radii is 30 degrees

Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m∠OAC=m∠OCA

the sum of the internal angles of a triangle is 180 degrees
so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°

the answer part b) is
the measure of the angle formed by a radius and a side is 75°

8 0

3 years ago

How do you add 44÷44? stu.pid questions

WITCHER [35]

Answer: You can't unfortunatly. 44 divided by 44 is 1 though

Step-by-step explanation:

7 0

2 years ago

A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor

Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 700, \sigma = 50$ .

The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:

X = 790:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{790 - 700}{50}$

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{575 - 700}{50}$

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

1 year ago

Will someone help me with both of these I have to solve for the unknown portions please

IceJOKER [234]

Answer:

b=2.5

p=6

Step-by-step explanation:

Take the fraction and simplify it. So 10/8 would be 5/4

You multiply the 2 by 2, giving you h/4

So now you have 5/4=h/4

h=5 but now you have to divide both by 2 again so it can go back to the original fraction.

5÷2=2.5 and 4÷2=2

Second Problem! 4/2 is equal to 2/1

You can also multiply 4 by 3 to get the numerator as 12. Multiply the 4 by 3 and the 2 by 3

Now you have 12/6= 12/p

So p is 6

3 0

2 years ago

Read 2 more answers

Admission to a home and garden show cost $7 per person during the week and $9 per person on the weekend. During one week of the

bulgar [2K]

For b) you already have two possibilities, since you have the intercepts.
(20358, 0) and (0,15834) are two possible points, although not very likely. 

Solve for y: y= (-7/9)x + 15834 

Any multiple of 9 will give whole number answers. 

Let x= 9 
Then y= (-7/9)(9)+ 15834 
Y= 15827 

If you want more reasonable answers, let x= 9000 
Then y= (-7/9)(9000)+ 15834 
Y= 8834

5 0

2 years ago

Read 2 more answers