Answer:
its D
Step-by-step explanation:
The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
Given information-
Omar wants to determine the value of
[tex] \cos\dfrac{(-2\pi)}{3} [/tex]
As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,
[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]
[tex]=-120[/tex]
As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).
30-60-90 triangleNow the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and 2.
Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.
Now the cos theta is the ratio of the adjacent side and hypotenuse thus,
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Negative sign is used for the third quadrant where x axis is negative.
[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]
Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.
Learn more about the trigonometry here;
https://brainly.com/question/24236629
This problem uses the statistical postulate to address diffusion. Consider eight particles, 4 black and 4 white. The particles are in a liquid with two halves separated by a permeable membrane, so each particle can be either on the left or the right of the membrane. According to the statistical postulate, every arrangement of the 8 particles is equally likely. Arrangements can be summarized according to which particles are on the left and which on the right, with the membrane represented by a vertical line |. Some possible arrangements are: BBBBWWWW, BWBW|BWBW, and WWW|BBW. How many different arrangements are there?
Answer:
There are 362,880 different arrangements.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.
How many different arrangements are there?
[tex]T = 9A_{8} = 9*8! = 362880[/tex]
There are 362,880 different arrangements.
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
[tex](21in,30in)=>210in^2[/tex]
[tex](15in,18in)=>90in^2[/tex]
[tex](15in,30in)=>150in^2[/tex]
Step-by-step explanation:
Required
Match the expressions on the left with the right
(a) 21 in by 15 in
Calculate area
[tex]Area = 21in * 15in[/tex]
[tex]Area = 315in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 315in^2 * \frac{1}{3}[/tex]
[tex]1-third = 105in^2[/tex]
Hence:
[tex](21in,15in)=>105in^2[/tex]
(b) 21 in by 30 in
Calculate area
[tex]Area = 21in * 30in[/tex]
[tex]Area = 630in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 630in^2 * \frac{1}{3}[/tex]
[tex]1-third = 210in^2[/tex]
Hence:
[tex](21in,30in)=>210in^2[/tex]
(c) 15 in by 18 in
Calculate area
[tex]Area = 15in * 18in[/tex]
[tex]Area = 270in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 270in^2 * \frac{1}{3}[/tex]
[tex]1-third = 90in^2[/tex]
Hence:
[tex](15in,18in)=>90in^2[/tex]
(d) 15 in by 30 in
Calculate area
[tex]Area = 15in * 30in[/tex]
[tex]Area = 450in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 450in^2 * \frac{1}{3}[/tex]
[tex]1-third = 150in^2[/tex]
Hence:
[tex](15in,30in)=>150in^2[/tex]
Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?
lol please help !!!!!!!
whats the sum of 1/6+1/3+1/6
Answer:
2/3
Step-by-step explanation:
2/6 is equal to 1/3 so I added both 1/6's together first and then added the resulting 1/3 with the other 1/3 and got 2/3
you could also convert the 1/3 to 2/6 and add all the sixths together to get 4/6 which is equal to 2/3
hope this helps chu<3
Answer:
4/6.
Step-by-step explanation:
1/6+1/6=2/6 1/3 converts into 2/6 so 2/6+2/6=4/6
(no link please)
HELPPP
Ok i think i can help, 90-30=60, and 60/3=20, so the answer would be 70!
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
Please help with this.
Answer:
A and C are the correct options.
Need help asap!!!! By 1 pm
Answer: x4
Step-by-step explanation:
5x−9≥11
Select one:
x≤−4
x≥4
x≤4
x≥−4
Answer:
[tex]x \geqslant 4[/tex]
Step-by-step explanation:
1) Add 9 to both sides.
[tex]5x \geqslant 11 + 9[/tex]
2) Simplify 11 + 9 to 20.
[tex]5x \geqslant 20[/tex]
3) Divide both sides by 5.
[tex]x \geqslant \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x \geqslant 4[/tex]
Thus, the answer is Option B.
5x−9 ≥ 11
5x ≥ 11 + 9
5x ≥ 20
x ≥ 20/5
x ≥ 4
Done.
Write a detailed savings plan for Sookie to meet her goal ?
Please help!! No links
9514 1404 393
Answer:
10.5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so ...
ZX/ZY = CA/CB
ZX = Zy(CA/CB) = 14(3/4)
ZX = 10.5
Help this is due today
Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.
Answer:
the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26
Step-by-step explanation:
Mean=sum of observation/ No. of observation
={5+8+ 10+ 15 + 22}/5
=60/5=12
Sum of deviations
= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|
= 7+4+2+ 3+ 10
= 26
How many square feet of outdoor carpet will we need for this hole?
Answer:
The feet square of the outdoor carpet you will need for the hole is 30 feet.I’ll give points and brainalist for correct answer
Answer:
A. 2
Step-by-step explanation:
Circumference of a circle = 2πr
if π = 3.14
and C = 6.28
6.28 = 2(3.14)r
r= 1
d= 2r
d= 2 * 1
d= 2
Charles sells computer hardware for a computer manufacturer. He is paid 4% for
the first $8,000 of sales, 6% on the next $10,000, and 8.5% on sales over
$18,000. What is his commission on $16,250 in sales? *
On Saturday, Ahmed walks his dog 0.5 mile. On the same day, Latisha walks her dog 0.7 times as far as
Ahmed walks his dog.
How far does Latisha walk her dog on Saturday?
Latisha walks her dog mile(s) on Saturday. I have it due by tomorrow at 7 am please help, don’t put the links!!
the answer is NOT.. C. please help .
Answer:
Option B
Step-by-step explanation:
First term of the given arithmetic sequence 'a' = -3
Common difference in each successive term 'd' = -8 - (-3)
d = -5
Explicit formula for an arithmetic sequence will be,
[tex]A_n=a+(n-1)d[/tex]
Here, n = number of term
[tex]A_n[/tex] = nth term of the sequence
[tex]A_n=(-3)+(n-1)(-5)[/tex]
For n = 23,
[tex]A_{23}[/tex] = -3 + (23 - 1)(-5)
= -3 - 110
= -113
Option B is the answer.
please help !!! Which statement regarding the number of solutions for the linear equation shown below is true?
Which statement regarding the number of solutions for the linear equation shown below is true?
Answer:
A-There is no solution
Step-by-step explanation:
There are no values of x
HOPE THIS HELP!!!1
How do I know how to do this
Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...
Step-by-step explanation:
Answer:
Step-by-step explanation:
well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions
I need help on this and I don't know how to do this.
Please Help
9514 1404 393
Answer:
-8, 36, -5Step-by-step explanation:
This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.
__
1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.
-24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)
The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).
So, the left- and right-quadrants are filled with -8 and 3.
Blank 1 = -8
Blank 2 = 3
__
2) You are given the factors, so all you need to do is form the product and sum.
Blank 1 = (-3)(-2) = 6
Blank 2 = (-3) +(-2) = -5
_____
Additional comment
Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.
Answer:
Blank 1: -8
Blank 2: 3
Step-by-step explanation:
Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24
What I need to know is the math problem...lol
Answer:
100k each without tax + interest
Step-by-step explanation:
El precio de cada acción de una empresa de tecnología ha presentado a través del tiempo un comportamiento dado por la siguiente función:
Donde t es el tiempo dado en días y A es el precio de la acción inicial cuando t = 0. Un inversionista desea conocer el número de días para el cual el valor de la acción se duplica. Para conocer este resultado, el proceso que se debe realizar es reemplazar f(t) por
A.
A/2, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
B.
2A, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
C.
2A, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
D.
A/2, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
I will ask you to turn it in english instead of española.
Solve the system of equations
4x+3y=16
y=x+3
X=
Y=
First you substitute.
[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]
Answer:
x = 1 and y = 4
Step-by-step explanation:
Because y = x + 3 we can substitute 3y with 3(x + 3)
4x + 3(x + 3) = 16
4x + 3x + 9 = 16
7x + 9 = 16
7x + 9 - 9 = 16 - 9
7x = 16 - 9
7x = 7
7x ÷ 7 = 7 ÷ 7
x = 7 ÷ 7
x = 1
Since y = x + 3 and x = 1 y = 4.
1 + 3 = 4
x = 1 and y = 4
Check:
x = 1 and y = 4
1 x 4 + 3 x 4 = 16
4 + 12 = 16
Which is the graph of the line given below? *
y=2/3x-5
To make this graph the first step is to look at the slope-intercept form
- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)
So, now you can find the y-intercept on the graph (-5) and make a dot there
Next, move right 3 and up 2 and repeat until you have enough points to make a line :)
graph below- hope this helps :)
Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy test has high sensitivity but is a relatively time-consuming procedure especially during epidemics and in areas of high concentration. A new Cyscope fluorescence microscopy test has been developed and gives results in less than 10 minutes. The test has a specificity of 98.92% and a sensitivity of 95.48%.
Required:
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
b. What proportion of people who test positive for Malaria will not have the disease?
Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
x=3y−5 2x+12y=-4 please solve the system of equations and show your work
sub x = 3y - 5 into equation 2
2(3y - 5) + 12y = -4
6y - 10 + 12y + 4 = 0
18y - 6 = 0
18y = 6
y = 6/18
y = 1/3
sub y = 1/3 into equation 1
x = 3(1/3) - 5
x = 1 - 5
x = -4
What is the current value for a future sum of money called?
A. Current value
B. Present value
C. Future value
Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of the pyramid is 12.3\text{ in}12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
460.7
Step-by-step explanation:
Answer:
460.7
Step-by-step explanation:
it just 460.7