Answer:
16%
Step-by-step explanation:
If you do 8+42, you will find out there are 50 members. Do 8/50 and you get 0.16. Multiply it by 100 and you get your answer of 16, add the percentage at the end. Then you get your answer of 16%.
Answer:
16%
Step-by-step explanation:
Total members: 8+42 = 50
What percentage is 8 of 50
x/100 = 8/50
(8 * 100) / 50 = 16%
Prove the following
[tex]\sf \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1[/tex]
- Required step by step explanation
- Spam will be reported on spot.
Answer:
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider[tex]\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \dfrac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \}cos(23π+x)cos(2π+x)[/tex]
We Know,[tex]\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) = sinx[/tex]
[tex]\rm \: {cos \: (2\pi + x) }[/tex]
[tex]\rm \: \cot \bigg( \dfrac{3\pi}{2} - x \bigg) \: = \: tanx[/tex]
[tex]\rm \: cot(2\pi + x) \: = \: cotx[/tex]
So, on substituting all these values, we get
[tex]\rm \: = \: sinx \: cosx \: (tanx \: + \: cotx)[/tex]
[tex]\rm \: = \: sinx \: cosx \: \bigg(\dfrac{sinx}{cosx} + \dfrac{cosx}{sinx} [/tex]
[tex]\rm \: = \: sinx \: cosx \: \bigg(\dfrac{ {sin}^{2}x + {cos}^{2}x}{cosx \: sinx}[/tex]
[tex]\rm \: = \: 1=1[/tex]
Hence,[tex]\boxed{\tt{ \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1}}[/tex]
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ADDITIONAL INFORMATION :-Sign of Trigonometric ratios in Quadrants
sin (90°-θ) = cos θcos (90°-θ) = sin θtan (90°-θ) = cot θcsc (90°-θ) = sec θsec (90°-θ) = csc θcot (90°-θ) = tan θsin (90°+θ) = cos θcos (90°+θ) = -sin θtan (90°+θ) = -cot θcsc (90°+θ) = sec θsec (90°+θ) = -csc θcot (90°+θ) = -tan θsin (180°-θ) = sin θcos (180°-θ) = -cos θtan (180°-θ) = -tan θcsc (180°-θ) = csc θsec (180°-θ) = -sec θcot (180°-θ) = -cot θsin (180°+θ) = -sin θcos (180°+θ) = -cos θtan (180°+θ) = tan θcsc (180°+θ) = -csc θsec (180°+θ) = -sec θcot (180°+θ) = cot θsin (270°-θ) = -cos θcos (270°-θ) = -sin θtan (270°-θ) = cot θcsc (270°-θ) = -sec θsec (270°-θ) = -csc θcot (270°-θ) = tan θsin (270°+θ) = -cos θcos (270°+θ) = sin θtan (270°+θ) = -cot θcsc (270°+θ) = -sec θsec (270°+θ) = cos θcot (270°+θ) = -tan θStep-by-step explanation:
Hence,
[tex]\boxed{\tt{ \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1}}[/tex]
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Reduce 24/33 to lowest terms
A book costs $ 67. How much will be paid for 102 such books? ...
A bicycle costs $ 215. How much will be paid for 87 such bicycles? ...
The monthly salary of a man is $ 2,625. ...
A chair costs $ 452 and a table costs $ 1750.
Answer:
That's not a question silly.
Step-by-step explanation:
Pls answer as quick as possible
Answer:
A.) There are 31 units between the points given.
B.)
Step-by-step explanation:
I don't know B i'm sorry but I hope I helped with A. Good Luck!
Gatorade was on sale last week. it cost $10 for every 5 bottles of gatorade
Answer:
2$/1 bottle Hope this helps please mark brainliest and thanks!
Step-by-step explanation:
help please!! will mark brainliest
Answer: 7526
BRANLIEST PLZ
Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4 feet tall, and 4 feet deep. Based on volume only, about how many books will fit in the bin?
Step-by-step explanation:
first you find the volume of a bin.
that is multiplication of 3 dimensions given.
4*4*4=64 cubic feet...
now volume of books..
0.75*0.75.0.25=0.14 cubic feet
now the number of books that will fit the bin=volume of bin/volume of books
64/0.14=455
455 books
We want to see how many books can fit in a bin, given that we know the dimensions of the books and the bin. We will see that 457 books can enter in the bin.
Remember that the volume of a rectangular prism of length L, width W, and height H is just given by:
V = L*W*H
Here we know that each book is:
0.75ft by 0.75ft by 0.25ft
Then the volume of a single book is:
V = 0.75ft*0.75ft*0.25ft = 0.14 ft^3)
While the bin is 4ft by 4ft by 4ft, thus its volume is:
V ' = 4ft*4ft*4ft = 64ft^3
The number of books that fit in the bin is given by the quotient between the bin's volume and the book's volume:
N = (64ft^3)/(0.14 ft^3) = 457 books.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
Can somebody answer this for me?
Answer:
A
Step-by-step explanation:
I'm not sure about it but I'm done with that I use corresponding
Multiply 2 times 27 using the area model label the model
Answer:
54
Step-by-step explanation:
2×27=54 hope this helps
Mallory works at a lifeguard at a local pool on Saturday she worked 6.5 hours and earned $61.75 how much Mallory does earn per hour
Answer:
765677676767666666666666666666666
Step-by-step explanation:
D.
22
a
After breakfast, Samuel had of a gallon of juice left in a container. One
1
serving of juice is of a gallon. How many servings of juice remained in
16
the container?
A
16
B.
12
GO
C. 8
D. 4
Answer:
12
Step-by-step explanation:
Problem:
"After breakfast, Samuel had 3/4 of a gallon of juice left in a container. One serving of juice is 1/16 of a gallon. How many servings of juice remained in the container?"
One serving is 1/16 of a gallon.
The amount left is 3/4 gallon.
How many times the amount of 1/16 gallon is in 3/4 gallon?
3/4 ÷ 1/16 = 3/4 × 16/1 = 48/4 = 12
Answer: 12
What is the slope of the blue line
x=6 what is 3x my mistake my last question was wrong sorry
Answer:
18
Step-by-step explanation:
3 x 6 = 18
you just need to plug in the value for x
Answer:
x=18
Step-by-step explanation:
if 6 is equal to "x" u just have to multiply by the times there's a x so it's 3×6=18
3x=18
Help help help help help please math I’m stuck
Answer:
its going to be the first one since the second one is a rotation
Step-by-step explanation:
How many 3 card hands are possible with a 36-card deck?
Answer:
is 2
Step-by-step explanation:
PLEASE HELP! Worth many points.
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
Answer choices:
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
(see picture)
Answer:
Counterclockwise rotation about the origin by 90 degrees about the y axis
Step-by-step explanation:
how do I convert these probs? into base 10 4120_7, A3B_12, WXYZ_36
4120_7 = 4•7³ + 1•7² + 2•7¹ + 0•7⁰
4120_7 = 4•343 + 1•49 + 2•7 + 0•1
4120_7 = 1372 + 49 + 14
4120_7 = 1435
In base 12, we use the digits 0-9 as well as A for 10 and B for 11. So
A3B_12 = 10•12² + 3•12¹ + 11•12⁰
A3B_12 = 10•144 + 3•12 + 11•1
A3B_12 = 1440 + 36 + 11
A3B_12 = 1487
In base 36, we assign values between 10 and 35 to the letters A-Z, so that
WXYZ_36 = 32•36³ + 33•36² + 34•36¹ + 35•36⁰
WXYZ_36 = 32•46656 + 33•1296 + 34•36 + 35•1
WXYZ_36 = 1492992 + 42768 + 1224 + 35
WXYZ_36 = 1537019
Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Answer:
A. 2^11
Step-by-step explanation:
(They are basically asking what's 2^4 × 2^7, but with more words.)
I usually do each exponent individually:
2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)
2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.
BUT, you can also:
(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)
2^4 × 2^7
4 + 7 = 11
2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).
Hope this helps friend :)
The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.
Se quiere poner piso a una habitación de forma rectangular y tiene un perímetro de 60 m. El largo de la habitación es el doble del ancho ¿Cuántos metros cuadrados de piso se necesitan para que la habitación tenga piso?
Answer:
i agree 100%
Step-by-step explanation:
what is 12,550 + 86,118
Answer:
98668
Step-by-step explanation:
12550+86118=98668
Answer:
98668
Step-by-step explanation:
8x^3+12x^2y+6xy^2+y^3
Answer:
(2x−y)
Step-by-step explanation:
Debes utilizar la fórmula de cubo binomial, a
3 −3a 2 b+3ab 2 −b3 =(a−b) 3
donde a=2x y b=y.
A biologist has two brine solutions, one containing 10% salt and another containing 25% salt. How many milliliters of each solution should she mix to obtain 1 L of a
solution that contains 23.5% salt?
a. 50 milliliters of the first brine solution, 950 milliliters of the second brine solution
b. 150 milliliters of the first brine solution, 850 milliliters of the second brine solution
Oc. 100 milliliters of the first brine solution, 900 milliliters of the second brine solution
O d. 200 milliliters of the first brine solution, 1,000 milliliters of the second brine solution
e. 900 milliliters of the first brine solution, 100 milliliters of the second brine solution
Using proportions, it is found that the correct option is:
c. 100 milliliters of the first brine solution, 900 milliliters of the second brine solution
The 1-liter solution, with 23.5% salt, is composed by:
x liters of the first brine solution, with 10% salt.1 - x liters of the second brine solution, with 25% salt.Hence, the combined equation is:
[tex]0.1x + 0.25(1 - x) = 0.235[/tex]
[tex]0.1x + 0.25 - 0.25x = 0.235[/tex]
[tex]0.15x = 0.015[/tex]
[tex]x = \frac{0.015}{0.15}[/tex]
[tex]x = 0.1[/tex]
Hence, 0.1L = 100 mL of the first solution, 900 mL of the second, and option c is correct.
You can learn more about proportions at https://brainly.com/question/24372153
simplify -2t × -3t × -2t
Answer:
-2*-3*-2 =-12
then add the t or use it before
-12t
Determine is (-3,-7) is a solution to 3x+2y=-23
solution or not a solution
Answer:
(-3, -7) is a solution
Step-by-step explanation:
3x + 2y = -23
Plug in the point (-3, -7)
It's a solution if it equals -23
3(-3) + 2(-7)
Multiply
-9 + (-14)
Add
-23
Therefor (-3, -7) is a solution
what is the name of the company
Answer:
i dont understand
Step-by-step explanation:
Answer:
Step-by-step explanation:
WhWhat type of company??
Lauren graphs the system of equations to determine its solution.
y=2xy=−x+6
What is the correct solution?
Enter your answer by filling in the boxes.
.
Answer:
(2,4)
Step-by-step explanation:
I just took the test
Answer:
(2,4)
Explanation:
I took the quiz, and I hope this helps :)
A construction crew has just built a new road. They built the road at a rate of 7 kilometers per week. They built 17.92 kilometers of road. How many weeks did
It take them?
Answer:
It took them 3 weeks
Step-by-step explanation:
I'm smart
A new drug Selttiks is proposed to treat sadness. Doctors are worried it also causes nausea. The proportion of 560 people who got sick while taking Selttiks was 13%. The proportion of 560 people who got sick while taking a placebo was 16.6%. Find a 89% confidence interval for the difference in the proportions that get sick with Selttiks vs the placebo.
Using the z-distribution and the information given, it is found that the 89% confidence interval for the difference in the proportions that get sick with Selttiks vs the placebo is (-0.07, -0.002).
The proportions, and it's respective standard errors, are given by:
[tex]p_s = 0.13, s_s = \sqrt{\frac{0.13(0.87)}{560}} = 0.0142[/tex]
[tex]p_p = 0.166, s_p = \sqrt{\frac{0.166(0.834)}{560}} = 0.0157[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\pi = p_s - p_p = 0.13 - 0.166 = -0.036[/tex]
[tex]s = \sqrt{s_s^2 + s_p^2} = \sqrt{0.0142^2 + 0.0157^2} = 0.021[/tex]
The interval is:
[tex]\pi \pm zs[/tex]
The critical value using the z-distribution, for a 89% confidence interval, is z = 1.598, hence:
[tex]\pi - zs = -0.036 - 1.598(0.021) = -0.07[/tex]
[tex]\pi + zs = -0.036 + 1.598(0.021) = -0.002[/tex]
The 89% confidence interval for the difference in the proportions that get sick with Selttiks vs the placebo is (-0.07, -0.002).
A similar problem is given at https://brainly.com/question/16807970
50 points!
Select all of the non-real complex numbers in the given table
Answer:
The 2nd,3rd,5th and the 6th
Step-by-step explanation:
got it right on edmentun/plato
An object is thrown upward from the top of a 192 ft building with an initial velocity of 64 feet
per second. The height, h, of the object after, t seconds, is given by the equation h =
- 16t2 + 640 + 192 When will the object hit the ground?
Answer:
t=6
Step-by-step explanation:
ground height = 0
(are you sure your formula is correct? isn't it - 16t²?)
if h=16t² +64t+192 is true then
16t² +64t+192 = 0
t² + 4t + 12 = 0
t = (-4 ± √(4² - 4*12)) / 2*1 = (-4 ± √-32) / 2 = -2 ± 2√-2
There is no solution of t
if it is h= - 16t² +64t+192
0 =- 16t² + 64t + 192
t² - 4t - 12 = 0
(t + 2) (t -6) = 0
t should be positive
t = 6 sec
