Factorizar

1. (a+ b)^3 − 27

2. 2x^2+7x+3

Answer:

George should charge 1.70$ for each frame to break-even.

Step-by-step explanation:

Variable cost for the frames:

Wood + polishing = $100 + $50 = $150

Variable cost per frame would be:

$150/ 500 = $0.30

The fixed cost of the operation is $700.

George has to make 500 frames.

Fixed cost / (Selling price per unit – variable cost per unit) = 500

$700 / (Selling price per unit - $0.30) = 500

700 = 500 (Selling price per unit – 0.30)

700 = 500 * Selling price – 500 * 0.3

700 = 500 * Selling price – 150

(700 + 150) / 500 = Selling price

850 / 500 = 1.7

Answer:

you mean trigonometry i'm assuming

but essentially:

soh = sin theta (the angle) = opposite length/hypotenuse length

cah = cos theta (angle) = adjacent length/hypotenuse length

toa = tan theta (angle) = opposite length/adjacent length

Step-by-step explanation:

Answer:

+9.2=7.6x

x+9.2=38x

______

5

Solution

=1.393939393

Answer:

a = 8

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.

Divide 4 from both sides of the equation:

(4a)/4 = (32)/4

a = 32/4

a = 8

8 is your answer for a.

~

Answer:

192

Step-by-step explanation:

on edge

Answer:

116.1

Step-by-step explanation:

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

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An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

Learn more about earnings on:

brainly.com/question/25788016

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Answer:

While statistics are extremely valuable, they are also notorious for being a means that people use to make false and misleading arguments. Also far too often statistics are obtained by taking a sample from a larger group and assuming the whole group has the same characteristics as the sample.

A sample provides a smaller set of the population for review, that delivers data that is useful to represent the whole population. Surveying a smaller sample, as opposed to the entire population, can save precious time for researchers and offer urgent data.

Step-by-step explanation:

Hope it is helpful.....

Answer:

2x + 2.9 = 30.6

Step-by-step explanation:

We are to represent the unknown number that Mark thinks of with x

If Mark doubles this unknown number, he multiplies it by 2 and the unknown number becomes - 2x

He then adds 2.9

The equation becomes 2x + 2.9

The answer of the above equation is 30.6

This gives : 2x + 2.9 = 30.6

Answer:

A? I think but also it may not be but that's what I think good luck

Answer:

0.01-S 0.03-H 0.09-E 0.1-W 0.14-A 0.16-S 0.18-N 0.19-T 0.2-S 0.22-E 0.25-E 0.27-N 0.3-B 0.31-E 0.33-C 0.39-A 0.4-U 0.47-S 0.48-E 0.5-O 0.55-F 0.6-H 0.64-E 0.7-R 0.76-S 0.79-M 0.8-A 0.81-L 0.88-L 0.9-S 0.93-I 0.96-Z 0.99-E

Sentence:

SHE WASN'T SEEN BECAUSE OF HER SMALL SIZE.

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

Answer:

[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]

Step-by-step explanation:

Area of a square tile = 90 square inches

Let the side length of tile be "L"

Condition:

Area = 90

L * L = 90

L² = 90

Taking sqrt on both sides

L = √90

L = 3√10

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

Hope this helped!

Answer:

Step-by-step explanation:

∠BEF = ∠ABE   {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF         {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

          x = 180- 140

x = 40

Answer:

the missing pencil length is 13.5 cm

Step-by-step explanation:

The computation of the length of the missing pencil is shown below:

Let us assume the missing pencil be x

Now

(12.4 cm + 12.6 cm + 13 cm + 13.4 cm + 13.5 cm + 13.3 cm + x) ÷ 7 = 13.1 cm

(78.2 cm + x) ÷ 7 = 13.1 cm

78.2 cm + x = 91.7 m

So, x would be

= 91.7 cm - 78.2 cm

= 13.5 cm

hence, the missing pencil length is 13.5 cm

Answer:

15

Step-by-step explanation:

Answer:

a. 24x + 24

Step-by-step explanation:

Given

6(5x + 4) - 6x

= 30x + 24 - 6x

= 24x + 24

Hope it will help :)❤

Answer:first one is 5 and second one is -4

Step-by-step explanation:

Answer:

how can I be of help

can't see anything actually

Answer:

the answer should be c..

Answer:

=x24−8x21+28x18−56x15+70x12−56x9+28x6−8x3+1

Step-by-step explanation:

=(x3−1)8

=(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)*(x3−1)

=x24−8x21+28x18−56x15+70x12−56x9+28x6−8x3+1

Answer:

4:6

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-7 + 4 = -3

-3

Have a beautiful day!

Hey.... can anybody help me with a question? If you can change one thing in your community with design, what would it be and how will it work towards racial justice?

Answer:

i'd say it's "a"

Step-by-step explanation:

cause x= - 1/2, 6/5 so the product of these two is 7/10

9514 1404 393

Answer:

  13.609°

Step-by-step explanation:

The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...

  A = csc^-1(4.25)

It is used to solve the relation ...

  4.25 = csc(A)

__

Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.

When your calculator does not have the csc^-1 function, you can make use of the trig identity ...

  csc(x) = 1/sin(x)

In the above equation, this becomes ...

  4.25 = 1/sin(A)

  sin(A) = 1/4.25 . . . . . solve for sin(A)

All scientific and graphing calculators will have the inverse sine (arcsine) function.

  A = sin^-1(1/4.25)

  A ≈ 13.609° . . . . . . . calculator mode in Degrees

_____

Additional comment

For inverse functions, especially inverse trig functions, I find it useful to read them as ...

  csc^-1(x)   ⇒   "the angle whose cosecant is x"

  sin^-1(x)   ⇒   "the angle whose sine is x"

This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).