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Answer:

csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.

csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]

but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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Answer:

<

>

Step-by-step explanation:

We have two sets of numbers and are asked to compare using the <, >, = symbols.

Remember :

< means less than

> means greater than

= means equal to

One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?

874,223.

<

Now for the second set,

>

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

$2.05

Step-by-step explanation:

just do the math bro

Answer:

$27.72

Step-by-step explanation:

I hope this helps!!!

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

Answer:

500

Step-by-step explanation:

well uh, 5 x 100 is 500 and it’s out of 100%.

Answer:

500

Step-by-step explanation:

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

Hope It Helps!

Answer:

0.193

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Answer:

X≤10/7

Step-by-step explanation:

7x-4≤6

add 4 both sides

7x-4+4≤6+4

7x≤10

divide 7 both sides

7x/7≤10/7

x≤10/7

hope it's helpful ❤❤❤❤

THANK YOU.

The solution of the given inequality is x≤10/7.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be simplified for the value of x as shown below.
7x − 4 ≤ 6

Add 4 both sides,

7x - 4 + 4 ≤  6 + 4

7x≤10

Divide 7 both sides,

7x/7 ≤ 10/7

x ≤ 10/7

Hence, the solution of the given inequality is x≤10/7.

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Answer:

its 4.00%

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation: