Determine the numerical length of JK.​

Answer:

Step-by-step explanation:

Formulas used:

  [tex]sin( A +B) = 2sin Acos B\\\\sin A= sin (\frac{A}{2} + \frac{A}{2}) = 2 \ sin \frac{A}{2}cos \frac{A}{2}\\\\cos(A + B) = cosA cosB - sinA sinB\\\\cos A = cos(\frac{A}{2} + \frac{A}{2}) = cos \frac{A}{2} cos \frac{A}{2} - sin \frac{A}{2} sin \frac{A}{2}[/tex]

                               [tex]= cos^2 \frac{A}{2} - sin^2 \frac{A}{2}[/tex]

  [tex]1 - sin^2 \frac{A}{2} = cos^2 \frac{A}{2}[/tex]

   [tex]\frac{sin\frac{A}{2}}{cos\frac{A}{2}} = tan\frac{A}{2}[/tex]

Given :

LHS =

             [tex]\frac{sin \frac{A}{2} + sin A }{1 + cos \frac{A}{2} + cosA}\\\\=\frac{sin \frac{A}{2} + 2sin \frac{A}{2} cos \frac{A}{2} }{1 + cos \frac{A}{2} +cos ^2\frac{A}{2} -sin^2 \frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} + 1 - sin^2\frac{A}{2} }\\\\= \frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + cos ^2 \frac{A}{2} +cos ^2 \frac{A}{2} }\\\\[/tex]

            [tex]=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} + 2cos ^2 \frac{A}{2} }\\\\=\frac{sin\frac{A}{2}( 1 +2cos \frac{A}{2} ) }{cos \frac{A}{2} ( 1 + 2cos \frac{A}{2}) }\\\\=\frac{sin\frac{A}{2}}{cos\frac{A}{2}}\\\\= tan \frac{A}{2}\\\\= RHS[/tex]

Answer:

$4928.87

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 250

r = 15% = 0.15

n = 12

t = 20

Step 2: Solve

Answer:

c

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

DEF should be three times as big as ABC

AB = 5 ; DE = 5 x 3 = 15

AC = 3 ; DF = 3x 3 = 9

BC = 4 ; EF = 4 X 3 = 12

the options that correspond to this is option c

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]

[tex]\mathsf{= 100\times100\times10}[/tex]

[tex]\mathsf = 10,000\times10}[/tex]

[tex]\mathsf{=\bf 100,000}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10\times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\mathsf{= \bf 1,000}[/tex]

[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]

[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]

[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]

[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]

[tex]\mathsf{= \bf 90}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.

plz mark me as brainliest

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

=30/3

=10

Answer:

0

Step-by-step explanation:

Anything times 0 is 0.

Without the 0 it's 3.72966900E+33.

Answer: i feel like its C but im not sure

Step-by-step explanation:

Answer: $32.5

Step-by-step explanation:

Given

Greg needs 50 corns on the cobs

A package of 5 costs $3.25

For 50 corns, he needed 10 package

So, cost of 10 packages is

[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]

Answer:

The family should budget $73.50 for 21 gallons of gasoline.

Answer:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.  

Step-by-step explanation:

Answer:

7(nearest whole number)

7.2(1 decimal place)

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{8000*15*5}{100}[/tex]

     [tex]=Rs. 6,000[/tex]

Amount = [tex]8,000+6,000=Rs. 14,000[/tex]

Interest = [tex]Rs. 6,000[/tex] Amount = [tex]Rs. 14,000[/tex]

[tex]SI=\frac{P*R*T}{100}[/tex]

[tex]SI=\frac{6000*12*3}{100}[/tex]

     [tex]= Rs.2160[/tex]

Amount = [tex]6,000+2,160=Rs.8,160[/tex]

Interest = [tex]Rs. 21,600[/tex]  Amount = [tex]Rs.8160[/tex]

Gain: 6,000 - 2,160

Gain = Rs. 3,840

hope this helps......

Answer:

Fraction of the book is each chapter = 1 / 24

Step-by-step explanation:

Given:

Fraction of book left to read = 1/4 book

Number of chapter left to read = 6 chapter

Find;

Fraction of the book is each chapter

Computation:

Total number of chapter in book = Number of chapter left to read / Fraction of book left to read

Total number of chapter in book = 4 x 6

Total number of chapter in book = 24 chapters

Fraction of the book is each chapter = Number of book / Total number of chapter in book

Fraction of the book is each chapter = 1 / 24

Answer:

90

Step-by-step explanation:

The exterior angle theorem states that to find the exterior angle, you have to add the interior angles that you know. 60+30 = 90.

Answer:

option B

Step-by-step explanation:

Top right graph

Answer:

b

Step-by-step explanation:

pls mark me brainliest

Answer:

Last option,

is correct (☑️)

Answer:

Step-by-step explanation:

If the numerator is 7 less than its denominator, than the original number in terms of x is

[tex]\frac{x-7}{x}[/tex]. If we triple the numerator, the expression to do this is 3(x - 7); if we increase the denominator, the expression to do this is x + 13. Putting that together along with the fact that after we do this manipulation the new number is 3/2:

[tex]\frac{3(x-7)}{x+13}=\frac{3}{2}[/tex] and distribute:

[tex]\frac{3x-21}{x+13}=\frac{3}{2}[/tex] and cross multiply to get:

2(3x - 21) = 3(x + 13) and

6x - 42 = 3x + 39 and

3x = 81 so

x = 27. Subbing 27 for x into the original number:

[tex]\frac{27-7}{27}=\frac{20}{27}[/tex]

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Answer:

16.2m

Step by step:

b=20

angle= 40

h=x(let us considered)

now ,

tan =P/b

putting value.

tan40=x/20

x=20 tan40

x=16.2m

9514 1404 393

Answer:

  B.  91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

Answer:

16) 8/X

19) 16x^8

22)81x^8

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

Answer:

Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company

Answer:

The answer is below

Step-by-step explanation:

Sumaya’s Smoothie Store is planning to sell an extra-large size. The extra-large size will have three times the volume of the small size (the small size is (8,4) ). It will cost twice as much as the small size.

Which coordinate pair represents the volume and cost of the extra-large size?

Solution:

The coordinate plane is a plane that can be used to represent the position of a point. The plane consist of x axes and y axes. The position of a point is referenced from the origin.

The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)

Since the volume of the extra-large size will have three times the volume of the small size, hence:

Volume of extra-large size = 8 * 3 = 24

The cost of extra large is twice as much as the small size, hence:

Cost of extra large = 4 * 2 = 8

Therefore the coordinate pair that represents the volume and cost of the extra-large size is:

(24, 8)

it should be false but its been a while since i did that but the expressions should be multiplied together  

Answer:

The rules for standard form are

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

I hope this helps

Answer:

False

Step-by-step explanation:

Please Mark me brainliest

Answer:

I think its hfbfjfbsobsxhhx

Answer:

1080 & 135

Step-by-step explanation:

I did it

Answer:

1/3

Step-by-step explanation:

3+3+2+1=9 marbles

3 are red so 3/9

3/9=1/3