Hello!
[tex]\large\boxed{\frac{2\pi}{3} \text{ and } \frac{4\pi}{3}}[/tex]
2cosФ + 1 = 0
Begin by isolating for cosФ. Subtract both sides by -1:
2cosФ = -1
Divide both sides by 2:
cosФ = -1/2
Using the unit circle, we know that from [0, 2π), values that have a cosine of -1/2 are 2π/3 and 4π/3.
Therefore, the solutions of this equation are:
Ф = 2π/3 and 4π/3
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP
The diagram is not drawn accurately.
AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.
A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling
Answer:
D. Systematic sampling
Step-by-step explanation:
Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)
Answer:
[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]
Can someone help me find the value of N in the triangle and round the answer to two decimal places
Answer:
n ≈ 8.54
Step-by-step explanation:
Reference angle = 30°
Opposite side = n
Adjacent side = 14.8
Apply TOA, which is:
Tan 30 = opp/adj
Tan 30 = n/14.8
Multiply both sides by 14.8
14.8×tan 30 = n
8.54478398 = n
n ≈ 8.54 units (to 2 dp)
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.
Which equation would allow you to calculate the price of any number of subs delivered?
Hint: x represents the number of subs
a
6x
b
2 - 6x
c
2 + 6x
d
6x(2)
Answer:
I think D or A
Step-by-step explanation:
since it goes from 20 to 26 it should be adding 6 and also multiplying by 2
yea
Choose Yes or No to tell if the number 30 will make each equation true.
270 ÷ □ = 9
Choose...
1,200 ÷ □ = 400
Choose...
9,000 ÷ □ = 300
Choose...
600 ÷ □ = 20
Choose...
(will mark brainiest and 5 points pls answer its for a test due in 20 min).
Answer:
1. Yes
2. No
3. yes
4. yes
WILL MARK BRAINLIEST
Answer:
[tex]3^{4}[/tex], [tex]9^{2}[/tex]
Step-by-step explanation:
3⁷×3-⁴ I need help asap!
Hope it helps
Have a good day Ahead
Answer:
the answer will be 27
Step-by-step explanation:
Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?
Answer:
7 hours 30 minutes
Step-by-step explanation:
Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)
4 hours so far.
takes 1 hour break and returns for 12:30.
She finishes at 4. Time from 12:30 to 4 is (3h30)
3h30 + 4 = 7h30m
Check yourself ^
2. "The quotient of a number and 4"
Answer:
Step-by-step explanation:
let n= number, the quotient of a number and 4 is
n/4
Help me pls pls pls
c = 18n + 13
i don’t understand it
thats not possible do you have options or another equation...?? because there is 2 unknown variable
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile
Answer:
34.5
Step-by-step explanation:
Given the data:
X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.
The 37th Percentile :
37/100(n + 1)th term
n = sample size = 32
Therefore,
0.37(32 + 1)th term
0.37(33)th term = 12.21 th term
(12th + 13th) term ÷ 2
(33 + 36) / 2
69 / 2
34.5
The 37th percentile is 34.5
Write the equation of each circle
Center (-1,0) and containing the point (2, -4)
A.(x + 1)2 + y2 = 25
B.x2 + (y2 +1)= 25
Answer:
The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
In which r is the radius.
Center (-1,0)
This means that [tex]x_c = -1, y_c = 0[/tex]. So
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]
[tex](x + 1)^2 + y^2 = r^2[/tex]
Finding the radius:
Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:
[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]
So, the equation of the circle is:
[tex](x + 1)^2 + y^2 = 5^2[/tex]
[tex](x + 1)^2 + y^2 = 25[/tex]
habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360
¿Con cuánto debe cooperar cada comunidad?
¿Cuál es la aportación por persona en las tres comunidades?
Answer:
La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.
Step-by-step explanation:
Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:
120 + 240 + 360 = 720
C = 1/2 x 360,000 = 180,000
B = 1/3 x 360,000 = 120,000
A = 1/6 x 360,000 = 60,000
Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.
A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:
360,000 / 720 = 500
Así, cada comunidad aportará $500 por persona.
A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?
Answer:
10080
Step-by-step explanation:
2985÷3=995×11=10080
Answer:
It can produce 32,835 in 11 days.
Step-by-step explanation:
2,985 x 3 = 8,955
2,985 x 3 = 8,955
2,985 x 3 = 8,955
If you add another three, that'll be 12, so, we'll multiply 2,985 x 2.
2, 985 x 2 = 5,970
Now, Add all of those 4 numbers together,
8,955 + 8,955 + 8,955 + 5,970 = 32,835
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?
Answers
4/5
1/5
3/4
1/3
Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3
Step-by-step explanation:
Answer:
3/4 or 1/3
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that [tex]P(A) = 0.2[/tex]
50% of rainy days start with rain clouds in the air
50% of 10%. So
[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]
What is the probability that it will rain today and ruin your picnic
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]
0.25 = 25% probability that it will rain today and ruin your picnic
Please help for brainliest.
Answer:
its C
Step-by-step explanation:
Someone please help!!!!! i will mark brainliest :)
Answer:
you have to solve all of the equations i none square and then once you have all of the answers in each square, add them up and then solve the questions down below
Step-by-step explanation:
correct me if im wrong
Please help! (giving brainliest)
luca: [tex]5\cdot \frac{1}{3}=\frac{5\cdot \:1}{3} =\frac{5}{3}[/tex] 1 remainder 2
bailey: [tex]6\cdot \frac{4}{5}=\frac{6\cdot \:4}{5} =\frac{24}{5}[/tex] = 4 remainder 4
corin: [tex]3\frac{1}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \frac{7}{3} =\frac{13\cdot \:7}{4\cdot \:3} =\frac{91}{4\cdot \:3} =\frac{91}{12} =7\frac{7}{12}[/tex]
sabra: [tex]1\frac{4}{5}\cdot \frac{1}{2} =\frac{9}{5}\cdot \frac{1}{2} =\frac{9\cdot \:1}{5\cdot \:2} =\frac{9}{5\cdot \:2} =\frac{9}{10}[/tex] 0.9
So D. is the right answer.
Hope I helped you!Success!
What is the measure of the angle
Protractor tool
486.664946274 + 541.24664245567 =
Answer:
the answer is 1027.91159
start time:11:33
End time:?
Elapsed time:4 hrs 55 mins
Answer:
4:28
Step-by-step explanation:
11:33+ 4hrs and 55 min
12:28+4hrs
4:28
Factor completely
6z^4 - 14z^3- 40z^2
Answer:
Step-by-step explanation:
2z^2(3z^2 - 7z - 20)
2z^2(3z + 5)(z - 4)
What is the distance between the points (-2, 1) and(1,3) ?Round your answer to the nearest tenth
To answer this question we're going to need to use the distance formula, which is
d = √((x2 - x1)2 + (y2 - y1)2)
We are given two points:
(x1, y1) = (-2, 1)
(x2, y2) = (-5, 3)
d = √((-5 - (-2))2 + (3 - 1)2)
= √((-3)2 + (2)2)
= √(9 + 4)
= √(13)
≈ 3.6056
Since it says to round to the nearest tenth, the distance between the 2 points is
3.6 units
d=3.6