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3 years ago

What is my first step?

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

Well a line is equivalent to 180 degrees so you would have AB(9x-23) and BC(5x-11) added to equal 180.
9x-23+5x-11=180
you would then combine like terms
14x-34=180
14x=214
x=214/14
x=15.2857143
x=15.29

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Can i have an answer

nordsb [41]

Answer:

I think it would be b

Step-by-step explanation:

im sorry if im wrong im not good with this stuff :c

5 0

3 years ago

An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d

denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. $w\times 2w\times h=36$

$h=\frac{18}{w^2}$

The equation form when top is open,

$f(w)=2w^2+2wh+2(2w)h$

Substitute the value of h,

$f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})$

$f(w)=2w^2+\frac{36}{w}+\frac{72}{w}$

$f(w)=2w^2+\frac{108}{w}$

Derivate w.r.t 'w',

$f'(w)=4w-\frac{108}{w^2}$

For critical point put it to zero,

$4w-\frac{108}{w^2}=0$

$4w=\frac{108}{w^2}$

$w^3=27$

$w^3=3^3$

$w=3$

Derivate the function again w.r.t 'w',

$f''(w)=4+\frac{216}{w^3}$

For w=3, $f''(3)=4+\frac{216}{3^3}=12 >0$

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = $\frac{18}{3^2}=2\ ft$

Therefore, the dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

4 0

4 years ago

The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 104e−3p2 + p, where q is the demand in

Alona [7]

Answer:

The price elasticity of demand is 0

Step-by-step explanation:

The demand function for monthly sales is given as:

q = 104e^-3p^2 + p

The price elasticity of demand E is obtained by differentiating q with respect to p

E = dq/dp = (-6p + 1) × 104e^-3p^2 +p =

When p = ¥200

E = (-6×200 + 1) × 104e^-3(200)^2 + 200 = -1199 × 104(0) = -1199 × 0 = 0

4 0

3 years ago

Serial numbers for a product are to be made using 2 letters followed by 3 digits the letters are to be taken from the first 6 le

kipiarov [429]

Answer:

Step-by-step explanation:

We have to make 5 place serial number with first two as alphabets and last three as digits.

The alphabets are bonded to first 6 ( A, B, C, D, E, F) where as digits are 10 (say 1 to 10).

Let the serial number be S1 S2 S3 S4 S5.

For Alphabets

For S1 we have 6 alphabets.

Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.

So the possible combination for S1 S2= 6x5=30.

For Digits

We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.

So the possible combinations for S3 S4 S5 = 10x9x8=720

So the total number of serial numbers are 30+720=750.

7 0

3 years ago

Make R the subject<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7BP%3D10%28Q-3R%29%7D%7BR%7D" id="TexFormula1" title=" \frac

Naddik [55]

I must assume that you meant the following:

10(Q-3R)

P = ----------------

Multiplying both sides by R, we get PR = 10R(Q-3R), or PR = 10RQ - 30R^2.

Rearranging these terms so that powers of R are in descending order:

30R^2 - 10RQ + PR = 0

Factoring out R, we get

R(30R - 10Q + P) = 0. This has two solutions:

R = 0, and 10Q - P

30R = 10Q - P, so that R = --------------

8 0

3 years ago