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2 years ago

Find a coterminous angle between 0 and 2 pi for each given angle. 191pi/45

Mathematics

1 answer:

Sedaia [141]2 years ago

5 0

Check the picture below.

let's recall that 2π is a full go-around or namely a revolution

$\bf \cfrac{191}{45}\implies \cfrac{45+45+45+45+11}{45}\implies \cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{11}{45} \\\\\\ 1+1+1+1+\cfrac{11}{45}\implies \stackrel{\textit{and this more}}{\underset{\textit{2 go-around}}{\underset{\uparrow }{2+2}+\stackrel{\downarrow }{\cfrac{11}{45}}}}$

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Which choice is equivalent to the expression below √-81

garri49 [273]

Answer:

Step-by-step explanation:

$\sqrt{-81}$ is the same as $\sqrt{81}$ · $\sqrt{-1}$

This can be simplified to 9 · $\sqrt{-1}$

And the square root of -1 is i,

so this equals 9i

4 0

3 years ago

A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and

inysia [295]

Question 1

probability between 2.8 and 3.3

The graph of the normal distribution is shown in the diagram below. We first need to standardise the value of X=2.8 and value X=3.3. Standardising X is just another word for finding z-score

z-score for X = 2.8
$z= \frac{2.8-3.1}{0.41} =-0.73$ (the negative answer shows the position of X = 2.8 on the left of mean which has z-score of 0)

z-score for X = 3.3
$z= \frac{3.3-3.1}{0.41}=0.49$

The probability of the value between z=-0.73 and z=0.49 is given by
P(Z<0.49) - P(Z<-0.73)

P(Z<0.49) = 0.9879
P(Z< -0.73) = 0.2327 (if you only have z-table that read to the left of positive value z, read the value of Z<0.73 then subtract answer from one)

A screenshot of z-table that allows reading of negative value is shown on the second diagram

P(Z<0.49) - P(Z<-0.73) = 0.9879 - 0.2327 = 0.7552 = 75.52%

Question 2
Probability between X=2.11 and X=3.5

z-score for X=2.11
$z= \frac{2.11-3.1}{0.41}=-2.41$

z-score for X=3.5
$z= \frac{3.5-3.1}{0.41} =0.98$

the probability of P(Z<-2.41) < z < P(Z<0.98) is given by
P(Z<0.98) - P(Z<-2.41) = 0.8365 - 0.0080 = 0.8285 = 82.85%

Question 3
Probability less than X=2.96

z-score of X=2.96
$z= \frac{2.96-3.1}{0.41}=-0.34$
P(Z<-0.34) = 0.3669 = 36.69%

Question 4
Probability more than X=3.4
$z= \frac{3.4-3.1}{0.41}=0.73$
P(Z>0.73) = 1 - P(Z<0.73) = 1-0.7673=0.2327 = 23.27%

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3 years ago

G measures 117, angle c measures 22, and angle e measures 40. Angle f

Fudgin [204]

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2 years ago

How do you do this problem?

ivann1987 [24]

Answer:

Step-by-step explanation:

0.3a = -6

Divide 0.3 from both sides

a = -20

6 0

2 years ago

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Evgen [1.6K]

The answer is: [C]: "Equation 3" .
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{which is: " y = 5x – 1 " } .
_________________________________________________________
Note: Among the FOUR (4) equations in the answer choices; "Equation 3" is the only equation that does NOT contain an "exponent" (that is; an exponent other than the (implied exponent of "postive 1").
_________________________________________________________
Furthermore, "Equation 3" is written in "slope-intercept form" ; that is:

"y = mx + b" ; the form of a linear equation.
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4 0

2 years ago