Help me with this pls

Answer:

a. Sin θ = y/r

b. csc θ = r/y

c. cos θ = x/r

d. sec θ = r/x

e. tan θ = y/x

f. cot θ = x/y

g. x² + y² = 1

Step-by-step explanation:

Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²

a. Sin θ = opposite/hypotenuse = y/r

b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y

c. cos θ = adjacent/hypotenuse = x/r

d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x

e. tan θ = opposite/adjacent = y/x

f. cot θ = adjacent/opposite = 1/tan θ = x/y

g. Equation of the Circle: _ the unit circle (r = 1),

Since x² + y² = r² ,for a unit circle, r = 1. So,

x² + y² = 1²

x² + y² = 1

Answer:

I agree with Jamie

Step-by-step explanation:

Given the inequality expression -2°C > -5°C, to compare both temperatures, we are to determine whether we agree or disagree with him.

Note that negative values that are closer to zero on the number line are greater than those that are far from zero. Hence, since -2 is closer to zero on the number line than -5, this means that -2 is greater than -5 hence I agree with Jamie's temperature value comparison.

Answer:

2 5/6

Step-by-step explanation:

Find a common denominator. In this case, it's 12

5 9/12 - 2 11/12

borrow, kind of, but for fractions

4 21/12 - 2 11/12

subtract like normal

2 10/12

simplify

2 5/6

Answer:

4x-3y= 36-12=24 make me the brainlest

Answer:

18:5

Step-by-step explanation:

There, hope it helps!

Answer:

18:5

Step-by-step explanation:

come on man

Answer:

d=5.7

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{-6(-2)^{2}+(-8-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-6+2){^{2}+(-8+4)^{2} } }[/tex]

d=[tex]\sqrt{(-4)^{2}+(-4)^{2} }[/tex]

d=[tex]\sqrt{16+16}[/tex]

d=[tex]\sqrt{32}[/tex]

d=5.656 =5.7

Answer:

He walked Ms. Evans' dog 3.89 miles.

Step-by-step explanation:

From the information provided, you know that the total distance that he walked both dogs is 17.5 miles, which can be expressed as:

x+y=17.5, where:

x is the distance he walked  Mr. Jackson's dog

y is the distance he walked  Ms. Evans' dog

Also, the statement indicates that he walked Mr. Jackson's dog 3.5 times farther than he walk Ms. Evans' dog and you can write the following equation:

x=3.5y

Now, you can replace x=3.5y in the first formula and solve for y to find how far he walked Ms. Evans' dog:

3.5y+y=17.5

4.5y=17.5

y=17.5/4.5

y=3.89

According to this, the answer is that he walked Ms. Evans' dog 3.89 miles.

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

Answer:

459

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

6^2 + x^2^2

36 + x^4

Hope that helps!

Answer:

[tex]700kg \times \frac{23}{100} \\ = 161[/tex]

Answer:

161 kilograms

Step-by-step explanation:

change 'of' into a multiplication sign

23% × 700kg

change 23% into a decimal

0.23 × 700kg= 161

Answer:

5999

Step-by-step explanation:

I think the inequality is less than or equal to (here what the sign looks like ≤ )

Answer:

Leorio, Gon, Killua, Kurapika, Hisoka, and Ging

Step-by-step explanation

Answer:

It's 21976 Gon! >:3

well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3

Step-by-step explanation:

:3

Answer:

55.0%

Step-by-step explanation:

I used a calculator

Answer:

1.y=3x-7

2.y=-3x-5

3.y=x+2

4.y=-4x+1

5.y=x+6

6.y=1/2x+5

Step-by-step explanation:

parallel lines have the same slope

1.y-2=3(x-3)

y-2=3x-9

y=3x-9+2

y=3x-7

2.y-(-2)=-3(x-(-1))

y+2=-3x-3

y=-3x-3-2

y=-3x-5

3.y-1=1(x-(-1)

 y-1=1(x+1)

 y-1=1x+1

y=1x+1+1

y=1x+2

4,y-(-3)=-4(x-1)

y+3=-4x+4

y=-4x+4-3

y=-4x+1

5.y-2=1(x-(-4)

 y-2=1(x+4)

y-2=1x+4

y=1x+4+2

y=1x+6

6.y-3=1/2(x-(-4)

 y-3=1/2(x+4)

 y-3=1/2x+4/2  simplify 4/2 to 2/1 =2

 y=1/2x+2+3

 y=1/2x+5

Answer:

Commission 42.00

Store made $658.00

Step-by-step explanation:

Answer:

x - 7 = 7(y - 7)

x + 3 = 3(x + 3)

Step-by-step explanation:

Aftab's age = x

daughter's age = y

According to question,

x - 7 = 7(y - 7)

and,

x + 3 = 3(x + 3)

Answer:

8/2=4

4*6=24

10*8=80

80+24=104

104

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

Answer:

5,055 gallons per hour

Step-by-step explanation:

You must multiply 84.25 by 60 because an hour is 60 minutes therefore your answer is 5,055 gallons per hour. Hope that helps!

Answer:

5,055

Step-by-step explanation:

there is 60 minutes in a hour soo...

84.25 x 60 = 5,055

Answer:

well, 1/3 of a bag per pot means 3 pots per bag, so 6 bags times 3 pots per bag.

3 x 6= 18 pots

Answer:

Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Answer:

The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Hope that helps :)

The cost of one sandwich is $3.90

The cost of one deknk is $1.50

hopefully this is correct

The system of equations are

The cost of one sandwich x = $ 3.90

The cost of one drink y = $ 1.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one sandwich be x

Let the cost of one drink be y

Now , the equation will be

A customer ordered three sandwiches and two drinks for $14.70

So , 3x + 2y = 14.70   be equation (1)

And , Another customer bought two sandwiches and four drinks for $13.80

So , 2x + 4y = 13.80   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

6x + 8y = 29.4   be equation (3)

Subtracting equation (2) from equation (3) , we get

4x = 15.6

Divide by 4 on both sides of the equation , we get

x = $ 3.90

So , the cost of one sandwich is $ 3.90

And ,

Substituting the value of x in equation (1) , we get

3x + 2y = 14.70

3 ( 3.90 ) + 2y = 14.70

11.70 + 2y = 14.70

Subtracting 11.70 on both sides of the equation , we get

2y = 3

Divide by 2 on both sides of the equation , we get

y = $ 1.50

So , the cost of one drink is $ 1.50

Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

Yes, he would double it

The original tool box volume is 180 in³

Doubled, it would be 360 in³

Step-by-step explanation:

Volume of box: L*W*H

10*6*3

60*3

180 in³

Answer:

si, por qué ecuación da diferente resultado