Answers
Answer:
30
So the two sectors add to the full length:
JK + IJ = IK
x+6 + 9 = 2x
Rearrange:
x=15
So the numerical length:
2x
2*15
30
This is because JK + IJ = IK so x+6+9=2x
This can be simplified to x+15=2x and then even further to 15=x
Now that you have x, you can plug it into the equation for JK
so 15+6=21
Related Questions
Dasukede kudasai
Trigonometry prove
Photo attached
Answers
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]
Simplify each using positive exponents only: questions on image
Answers
Answer:
16) 8/X
19) 16x^8
22)81x^8
John invests $250 at 15% interest compounded monthly. How much will he have in 20 years?
Answers
Answer:
$4928.87
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compound ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 250
r = 15% = 0.15
n = 12
t = 20
Step 2: Solve
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{12 \cdot 20}[/tex][Exponents] Multiply: [tex]\displaystyle A = 250(1 + \frac{0.15}{12})^{240}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 250(1 + 0.0125)^{240}[/tex](Parenthesis) Add: [tex]\displaystyle A = 250(1.0125)^{240}[/tex]Evaluate exponents: [tex]\displaystyle A = 250(19.7155)[/tex]Multiply: [tex]\displaystyle A = 4928.87[/tex]please help :)))))))m)))e
Answers
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.
Help please!!!!!!!!!!!
Answers
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
Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no
Answers
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
what is real numbers? explain briefly..
Answers
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
Rockey has lent out 8000 for 5 years
at 15% per nm & borrowed ruppies 6000
for 3 years at 12% per nm, how much
did he gain or loose.
Answers
[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......
What is the coefficient in the expression shown?
Answers
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:
Please help I’ll give brainliest
Answers
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
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. It will cost twice as much as the small size. Which coordinate pair represents the volume and cost of the extra-large size?
Answers
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)
Fill in each box to make the statements true.
The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).
Answers
ADEF is a dilation of AABC by a scale factor of. Which of the following
proportions verifies that AABC and ADEF are similar?
15
12
5
O A.
DE BC
AB DF
OB.
AB
DE
EF
AC
OC. PRO
DE
ВС
OD.
DE
=
AC
DF
Answers
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
Please help. Will give 15 points!!!!
Answers
it should be false but its been a while since i did that but the expressions should be multiplied together
someone help me pleaseeeeee
Answers
Answer:
option B
Step-by-step explanation:
Top right graph
Answer:
b
Step-by-step explanation:
pls mark me brainliest
slope for (0,0) and (3,30)
Answers
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
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown. h What is the probability of drawing a red marble out of the bag without looking? 1/9 2/9 1/3 1/2
Answers
Answer:
1/3
Step-by-step explanation:
3+3+2+1=9 marbles
3 are red so 3/9
3/9=1/3
If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?
Answers
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]
The numerator of a rational number is less thanits denominator by 7. If the new number becomes [tex]\frac{3}{2}[/tex] when the numerator is tripled and the denominator is increased by 13, find the original number.
Answers
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]
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answers
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....1x1x2x2x9x9x9x9x9x9x8x8x7x6x5x8x7x8x7x8x7x86x566x64x32x66x2x73747x766x0
Answers
Answer:
0
Step-by-step explanation:
Anything times 0 is 0.
Without the 0 it's 3.72966900E+33.
Round the decimal 7.16 ?
Answers
Answer:
7(nearest whole number)
7.2(1 decimal place)
Name each polynomial
4m^2-5m+6
18s-7
6p^3
Answers
Answer:
Quadratic function
linear function
cubic function
Step-by-step explanation:
help me someone The table below represents a geometric sequence.
Answers
Answer: i feel like its C but im not sure
Step-by-step explanation:
Can You help me with this problem I’m stuck
Answers
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
What is 14c12?
A. 78
B. 91
C. 105
D. 120
Answers
9514 1404 393
Answer:
B. 91
Step-by-step explanation:
14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91
Diego has 1/4 of a book left to read. There is 6 chapters left each chapter is the same length. What fraction of the book is each chapter
Answers
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
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answers
Answer:
The family should budget $73.50 for 21 gallons of gasoline.
What is the sum of the measures of the interior angles of the stop signIf the stop sign is a regular octagon, what is the measure of each interior angle?
Answers
Answer:
I think its hfbfjfbsobsxhhx
Answer:
1080 & 135
Step-by-step explanation:
I did it
please help me answer this question also it’s asking to show work!!
Answers
[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]