TRIGONOMETRY Review!
nometric Ratios: Find each trig rolio, Gve your answer as a fraction in simplest form.

Answer:

[tex]{y,x}={2,-10/3}[/tex] ( No)

Step-by-step equation:

System of Linear Equations entered :

 [1]           y=-4+6

 [2]           3x+4y=-2

Equations Simplified or Rearranged :

  [1]    y = 2

  [2]    4y + 3x = -2

Graphic Representation of the Equations :

   0? + y = 2        3? + 4y = -2  

Solve by Substitution :

// Solve equation [1] for the variable  y

  [1]    y = 2

// Plug this in for variable  y  in equation [2]

  [2]    4•(2) + 3x = -2

  [2]    3x = -10

// Solve equation [2] for the variable  x

  [2]    3x = - 10

  [2]    x = - 10/3

// By now we know this much :

   y = 2

   x = -10/3

We are done

Solution :

{y,x} = {2,-10/3}

Answer: the coefficient is 5

Answer:

What is equation?

Step-by-step explanation:

Answer:

A. 0.2 pounds

Step-by-step explanation:

I just did it on edge.

Answer:

a 0.2

Step-by-step explanation:

Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth  [tex]\rm (-4v-9)(-4v+9)[/tex]  are the products that result in a difference in squares

It is required to identify which products result in a difference of squares.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We know that:

[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]

In option first:

[tex]\\\rm= (5z+3)(-5z-3)\\\rm =-(5z+3)(5z+3)\\\rm =-(5z+3)^2[/tex]

It is not the difference between squares.

In option second:

[tex]\rm = (w-2.5)(w+2.5)\\\rm = (w^2-2.5^2)[/tex] By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]

It is the difference between squares.

Similarly, in option third:

[tex]\rm = (8g+1)(8g+1)\\\rm = (8g+1)^2[/tex]

It is not the difference between squares.

Similarly, in option forth:

[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]

It is the difference between squares.

Similarly, in option fifth:

[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]

It is not the difference between squares.

Similarly, in option sixth:

[tex]\rm = (p-5)(p-5)\\\rm = (p-5)^2[/tex]

It is also not the difference between squares.

Thus, option 2 and option 4 are correct.

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Answer:

The solution is x = -4

Step-by-step explanation:

y=4x+2
we can see here that y equals 4x+2

y =3x-2

The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:

y =3x-2

4x+2 = 3x-2

now just solve it algebraically.

4x + 2 - 3x = 3x -2 -3x

x +2 -2 = -2 -2

x = -4

The solution is x = -4

Mass is how much "matter" something is.  Weight is this with respect to gravity.  Therefore, if you took a ball to the moon, its mass would not change because the amount of matter is unaffected but the weight will change because the Earth and the Moon have different gravitational pulls.

Hope this helps!!

Answer: $38.16

Step-by-step explanation:

Finding total costs with sales tax is really quite simple. Here is the formula.

O x P + O

use key below.

1. Solve

= 36 x 0.06

= $2.16

= 2.16 + 36

= $38.16

Key:

O = Original Price

P = Sales Tax Percentage

I hoped this answer helped your wonderful, creative minds. Keep working hard, and touch the stars.

- Mona May

Answer:

any numbers that are multiples of 10, such as

10 and 20

40 and 60

50 and 80

Step-by-step explanation:

Because 5 is a factor of 10, all multiples of 10 will also be multiplies of 5, such as 10, 20, 30, 40, 50, 60, and so on.

The time required for the invested money to reach the accrued amount is 8 years.

The compound interest formula is expressed as;

A = P(1 + r/n)^(n*t)

Where A is accrued amount, P is principal, r is rate,  and t is time.

Given that;

Plug the given values into the compound interest formula and solve for time t.

A = P(1 + r/n)^(n*t)

t = In(A/P) / n[ In( 1 + r/n ) ]

t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )

t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )

t = 7.857

t = 8 years.

Therefore, the required time is 8 years.

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Answer:7.9

Step-by-step explanation:

Answer:

Question 3: 2.7 hours

Question 4: 2.3 hours

Step-by-step explanation:

Question 3:

Time taken by 1st delivery driver = t1 = 6 hours

Time taken by 2nd delivery driver = t2= 5 hours

Time together = T

[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]

[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 6 } + \dfrac{ 1 }{ 5 }}[/tex]

[tex]{\dfrac{ 1 }{ T } = 0.166+0.2 = 0.366}[/tex]

[tex]{T = \dfrac{ 1 }{ 0.366 } = 2.732}[/tex]

Rounded to the nearest tenth: 2.7 hours

Question 4:

The first valve takes 4 hours to completely drain = t1

[tex]\mathrm{Rate\:for\:first\:valve\:will\:be\:\dfrac{1}{4}\:per\:hour}[/tex]

The second valve taken 5.25 hours to completely drain = t2

[tex]\mathrm{Rate\:for\:second\:valve\:will\:be\:\dfrac{1}{5.25}\:per\:hour}[/tex]

Combined time = T

[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]

[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 4 } + \dfrac{ 1 }{ 5.25 }}[/tex]

[tex]{\dfrac{ 1 }{ T } = 0.25+0.190 = 0.44}[/tex]

[tex]{T = \dfrac{ 1 }{ 0.44 } = 2.272}[/tex]

Rounded to the nearest tenth: 2.3 hours

Answer:

$1020

Step-by-step explanation:

Since 15% is taken away, the total price would be $1,020. This means that the sales price is 85% of the price.

Answer:

-12b² + 6b + 862

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

Los que estan en casillas son los factores de 420. Espero y te ayude.

Step-by-step explanation:

Answer:

The maximum number of chairs he can buy is C ≤ 22

Step-by-step explanation:

Let B represent the number of beds the hotel manager can buy.

Let C represent the number of chairs the hotel manager can buy.

Putting this into an expression, we have:

150B + 50C ≤ 2000

Since the hotel manager buys 6 beds, putting this into the information above:

150 (6) + 50C ≤ 2000

900 + 50C ≤ 2000

50C ≤ 2000 - 900

50C ≤ 1100

C ≤ 22

Answer:

4 Days Late

Step-by-step explanation:

The first is 2.50, then 20 per day.

Answer:

Option B. ∠3 = 130°

Step-by-step explanation:

In the given question a, b, c are the parallel wires and pipe cleaner is the transverse.

Now we take two parallel wires a, c and pipe cleaner as transverse then

we have to find the relation between angle 4 and 130°

∠4 = ∠9 [ alternate interior angles ]

∠3 = 130° [ they are the alternate interior angles ]

Therefore option B. is the correct option.

Answer:

B. They are alternate interior angles, so angle 3 also measures 130°.

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

12 crew members

Step-by-step explanation:

to find out this question you should first make 66 2/3% into a fraction

that is 99.99...% percent which is also 2/3

you can then divide 8 men by 2/3

that is 8/1 divided by 2/3 which is essentially 8/1 * 3/2

that turns into 12

that means there are 12 crew members

Answer:

3π

Step-by-step explanation:

Perimeter of circle = 2rπ

r = 3

P = 6 π

semicircle = 1/2 circle

P = 3π

The appropriate testing hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is c H.o: B = 0, Ha: B ≠ 0.

Hypothesis testing simply means an act in statistics whereby an analyst tests an assumption regarding a population parameter.

In this case, from the complete question, the hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is H.o: B = 0, Ha: B ≠ 0.

This is essential to provide evidence concerning the plausibility of the hypothesis with the data given.

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we have to calculate the values ​​of A and B, so we have to:

[tex]A=100\\B=5[/tex]

Since the equation is:

[tex]R(X)=(500+ax)(50-bx)[/tex]

And the following information was given:

A school typically sells 500 yearbooks each year for $50 each.

The economics class discovers that they can sell 100 more yearbooks for every $5 decrease in price.

So knowing that by increasing 100 more books sold this is equal to A and the decrease in value is going to be equal to b.

[tex]R(X)=(500+100x)(50-5x)[/tex]

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Answer:

y=mX+c

7=(1/2)(0)+c

c=7

y = 1/2 X + 7

Step-by-step explanation:

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°ω°

From the AAS property of congruency the side ab≅ac in the isosceles triangle.

Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.

Now for an Isosceles triangle abc given in the figure

[tex]\angle bad=\angle cad[/tex]

[tex]\angle abd=\angle acd[/tex]

[tex]ad=ad[/tex]   (common side)

So from the AAS property, the triangle [tex]\Delta bad=\Delta acd[/tex] are congruence

The side ab will also be equal to the side ac.

So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.

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Answer:

The answer would be "A". Converse of the isosceles triangle theorem.

Step-by-step explanation:

You're Welcome :)

Answer:

B

Step-by-step explanation:

Adjacent means 'next to'. Angles 1 and 4 are next to angel 3, on the top and to the right.

Answer:

Its a parallelogram

Hope you have a great day!

Answer:

40

Step-by-step explanation:

Use PEMDAS and follow the operations from left to right

Answer:

40

Step-by-step explanation:

use addition and subtraction to get answer

Answer: (-1, 6)

Step-by-step explanation:

Use the midpoint formula:

(Xm, Ym) = ([x1 + x2]/2, [y2 + y1]/2)

(Xm, Ym) = ([2 + -4]/2, [6 + 6]/2)

(Xm, Ym) = (-2/2, 12/2)

(Xm, Ym) = (-1, 6)

The midpoint is (-1, 6)

Based on the vertical angles theorem we can assume that the angles are equal to each other so:

7x-25 = 4x + 2

Now find the value of x

Subtract 4x to both sides

3x - 25 = 2

Add 25 to both sides

3x = 27

Divide by 3 to isolate x

x = 7