Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A

θ is in quadrant I, so cos(θ) and sin(θ) and hence tan(θ) are all positive.

Recall that

sec²(θ) = 1 + tan²(θ)

We have

cos(θ) = 2/√14   ⇒   sec(θ) = √14/2 = √(7/2)

Then

tan(θ) = +√(sec²(θ) - 1) = √(5/2)

Also recall the identities

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

from which we get

tan(x + y) = (sin(x) cos(y) + cos(x) sin(y)) / (cos(x) cos(y) - sin(x) sin(y))

tan(x + y) = (tan(x) + tan(y)) / (1 - tan(x) tan(y))

so that

tan(2θ) = 2 tan(θ) / (1 - tan²(θ)) = -(2√10)/3

Answer:

Area: 531 in²

Circumference: 82 in

Step-by-step explanation:

Given:

To find:

Area of Circle:

[tex]\displaystyle \large{A=\pi r^2}[/tex]

Therefore:

[tex]\displaystyle \large{A=3.14 \cdot 13^2}\\\displaystyle \large{A=530.66 }[/tex]

Round to nearest whole number:

Therefore, the area is 531 inches squared

Circumference of Circle:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Therefore:

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 13}\\\displaystyle \large{C=81.64}[/tex]

Round to nearest whole number:

Hence, the circumference is 82 inches

Answer: 24 students have less than 20 pets

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

1.75 in

Step-by-step explanation:

Diameter = 3.5 in

Radius = D ÷ 2 = 1.75 in

I hope this helpls

Answer:  No! It has no truth! YOU CAN NOT CUT SOMETHING TO MAKE MORE OF IT!!!!!!!!!!!  

Step-by-step explanation:

Answer:

What is your question though?

They are exempt from income tax and we would get the income tax withheld as $340

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

You earn $1,166 gross taxable income every week and have claimed no exemptions. assuming that you have no other sources of income.

Gross taxable Income = $ 1,166

Rate of Income tax = 30%

Amount of income tax = 30 % of 1,166

 = 30/100 × 1,166

= $339.6

= $340

Therefore. they are exempt from income tax and we would get the income tax withheld as $340.

Read more about taxable income here:

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Answer:

340

Step-by-step explanation:

363

T1= a= -92

T2= -85

common difference d = T2-T1

d = -85 -(-92)

= -85 +92

= 7

Tn = a + (n-1)d

T66 = -92 + (66-1)7

= -92 + (65)7

= -92 + 455

= 363

small cones = 22

large cones = 34

hope it reall helps...

Answer:

  25 J

Step-by-step explanation:

Using the proper formula for kinetic energy ...

  KE = 1/2mv²

we can substitute the given values to find the kinetic energy of the ball.

__

  KE = 1/2(2 kg)(5 m/s)² = 25 J

_____

The unit "Joule" is a derived SI unti equivalent to 1 kg·m²/s².

Answer:

It is a rational number.

Step-by-step explanation:

since it is not a perfect square therefore it does not have an exact square root. also any number that is positive or negative, positive or zero, and can be write as a fraction

Answer: B. √25 + 1.75.

Step-by-step explanation: Rational Numbers are numbers that terminate or don't need to be terminated.  For example, 1/3 is a repeating number, but we can terminate the value, whereas pi is never ending, and there is no terminating with that value.  Numbers like 5.56 and 7/8 are rational because they don't need to be terminated to be rational.  √25 is 5, no decimals to terminate or anything, and that makes the value rational.  1.75 is also rational, and that's why equation c is fully rational.  √3 and √2 can't terminate, because both are 1.73205080757 and 1.41421356237, which means that they still can't terminate.  Pi cannot terminate, so that's why the answer choices with pi aren't rational.

Hope this helps! :)

The speeds of both Grayson and Maya can be found using the equation:

distance/time

So 45/3

and

26/2

Grayson was going 15mph while Maya was going 13mph

So Grayson was going 2mph faster than Maya

Answer:

14

Step-by-step explanation:

The health insurance worth as a benefit for Michelle is = $870.

The private health insurance cost for Michelle = $435

The new employer will provide the same health insurance = $435

Therefore, the health insurance worth as a benefit for Michelle is = $435 + $435 = $870

Learn more about insurance here:

https://brainly.com/question/25855858

#SPJ1

Answer:

95

Step-by-step explanation:

21.25 times 4 is 85

so it's 3 point something

then you do 80.75 divided by 21.25 and get 3.8 and then 25 times 3.8 is 95

Links are in a chain that is 80.75 inches long are 95.

The number of links on a chain is proportional to the length of the chain.

If 25 links create a chain that is 21.25 inches long,

then how many links are in a chain that is 80.75 inches long.

The inch can be defined as a unit of length in the customary system of measurement.

21.25 times 4 is 85.

Then you divided 80.75 by 21.25.

[tex]\frac{80.75}{21.25} =3.8[/tex]

Then 25 times 3.8 is 95

[tex]3.8\times 25=95[/tex]

To learn more about the inches visit:

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Answer:

can you send a pic of the graph so we can give you an answer?

Answer:

irrational

Step-by-step explanation:

sqrt(3) is never ending.

Since it is never ending it is irrational

Answer:

irrational

Step-by-step explanation:

sqrt(3) is never-ending.

Since it is never-ending it is irrational

Answer: 10

Step-by-step explanation:

Because if you look at the box plot the minimum dot/point (all the way to the left) is 10  

Answer: Yes Sasha is correct she makes $58.33 a day

Step-by-step explanation: First add all the tips

[43 + 32 + 65 + 88 +50 + 72 =350]

Then divide by how many tips there are

[350 ÷ 6]

therefore your answer is $58.33

Answer: B

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf r = 10.5}[/tex]

Step-by-step explanation:

Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.

Base = r

Perpendicular = 14

Hypotenuse = r + 7

Using Pythagoras theorem:

[tex](Hypotenuse)^2 = (Base)^2+(Perp)^2[/tex]

Put the values

(r + 7)² = (r)² + (14)²

Using formula a² + 2ab + b² = (a + b)²

r² + 14r + 49 = r² + 196

Subtract r² to both sides

14r + 49 = 196

Subtract 49 to both sides

14r = 196 - 49

14r = 147

Divide 14 to both sides

r = 147 / 14

r = 10.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

Letter D.

Step-by-step explanation:

hope it helps please mark me brainliest

Step-by-step explanation:

Where is the reference shape?

Answer: 8 meters

Step-by-step explanation: you divide 240 by 30

Answer:

y intercept is (0,7) & x is (7/4,0)

Step-by-step explanation:

you put 0 for y or x and solve to get the intercept. for y int, you put 0 where the x is. for x int, put 0 at y.

y intercept is (0,7).

y = 4(0) + 7

y = 0 + 7

y = 7

x intercept is (7/4,0)

0 = 4x + 7

7 = 4x

7/4 = 4x/4

7/4 = x