The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
The addition formula for trigonometryThe given expression is:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]
Note that:
[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]
Applying the addition principle to the given expression, we have:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
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If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?
Answer:$1312.5
Step-by-step explanation:
1500x1.875=2812.5
2812.5-1500=1312.5
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
*
6x + 3y = 12
(5.-6);
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Answer:
x = 5 and y = -6
Step-by-step explanation:
The given equations are :
6x + 3y = 12 ...(1)
4x + y = 14 ...(2)
Multiply equation (2) by 3.
12x + 3y = 42 ...(3)
Subtract equation (1) from (3).
12x + 3y-(6x + 3y) = 42-12
12x+3y-6x-3y = 30
6x = 30
x = 5
Put th value of x in equation (2).
4(5) + y = 14
20 +y = 14
y = -6
So, the solution of the equations are x = 5 and y = -6.
If a=-9 and b= -4, what is the value of a + b?
0-5
5
-13
13
Answer:
The answer is -13.
Step-by-step explanation:
-9 + -4 = -13
In permutations, order matters.
A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.
Considering a bag of marbles has 5 green marbles, 3 blue marbles, and 2 red marbles. Three marbles are drawn in sequence and are taken without replacement. What is the probability P( 2nd draw is green| 1st draw is red)?
A) 555.5
B) 55.5
C) 5.5
D) .5555
Answer:
A
Step-by-step explanation:
basta a hehehehhjshshshss
Will mark brainliest! Answer quickly please.
Each of 150 volunteers was assigned at random to one of five rooms where they were asked to taste and rate a glass of wine. In one of the rooms, no music was playing and a different style of music was playing in each of the other four rooms. The researchers concluded that cabernet sauvignon is perceived as being richer and more robust when bold music is played than when no music is heard.
Required:
a. Is the study described an observational study or an experiment?
b. Can a case be made for the researcher's conclusion that the music played was the cause for the higher rating? Explain.
Answer:
a. Experiment
b. yes
Step-by-step explanation:
The study being conducted in this scenario is an experiment because different groups are being created and both an independant variable and dependant variable are being introduced. This means that there is researcher involvement and therefore makes this an experiment and not an observational study.
Yes, a case can be made for such a claim. This is because the music being played is the dependent variable in each of the groups. Meaning that the only difference in each of the groups was the music. Therefore, any differences in the data gathered can be connected to the music.
A university freshman class has 5600 students 48% of those stundents are majoring in economics how many students in the freshman class are economics majors
The total number of students in the freshman class is 2688 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of students in the freshman class be = A
Now , the equation will be
The total number of students in the university = 5600 students
The percentage of students in the freshman class = 48 %
So ,
The total number of students in the freshman class = percentage of students in the freshman class x total number of students in the university
Substituting the values in the equation , we get
The total number of students in the freshman class = ( 48/100 ) x 5600
The total number of students in the freshman class = 0.48 x 5600
The total number of students in the freshman class = 2688 students
Therefore , the value of A is 2688 students
Hence ,
The total number of students in the freshman class is 2688 students
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8(5 – 2x)
need help answering this question
Let's simplify this problem using the distributive property.
The first thing we want to do is change the minus to plus a negative.
Now distribute or multiply the 8 times
each of the terms inside the set of parentheses.
So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.
7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3
Answer:16
Step-by-step explanation:
[tex]5x/x-4=20/x-4+3[/tex]
Answer:
x=4
Step-by-step explanation:
multiplying everything by x-4 we get
5x=20+3x-12
2x=8
x=4
if my answer helps please mark as brainliest.
cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste
Answer:
La longitud del alambre que sostiene el poste es 8.94 metros.
Step-by-step explanation:
La longitud del alambre se puede calcular usando Pitágoras:
[tex] L^{2} = P^{2} + B^{2} [/tex]
En donde:
L: es la longitud del alambre =?
P: es la altura del poste = 8 m
B: es la distancia del alambre al poste = 4 m
Entonces, la longitud del alambre es:
[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]
Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.
Espero que te sea de utilidad!
I need help pls how do u do this step by step? ):
me pueden ayudar plis lo necesito para hoy
Answer:
4)B
Step-by-step explanation:
0
0.25
0.50
0.75
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.8 weeks. Suppose you would like to select a random sample of 56 unemployed individuals for a follow-up study.
Required:
a. Find the probability that a single randomly selected value is greater than 27.6.
b. Find the probability that a sample of size n=80 is randomly selected with a mean greater than 27.6.
Answer:
a) The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = 0.8051
b) The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = 0.9998
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 30 weeks
The Standard deviation of the Population = 2.8 weeks
Let 'X' be a Normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{27.6-30}{2.8} = -0.857[/tex]
The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = P(Z≥-0.857)
= 0.5 + A(-0.857)
= 0.5 + A(0.857)
= 0.5 + 0.3051
= 0.8051
Step(ii):-
Let 'X' be a Normal distribution
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{27.6-30}{\frac{2.8}{\sqrt{80} } } = -7.6677[/tex]
The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = P(Z≥-7667)
= 0.5 + A(-7.667)
=0.5 +0.4998
= 0.9998
A survey was carried out on 40 travelers . 12 of them said they had traveled to Ghana and not to Cameroon. 8 said they had travelled to Cameroon and not Ghana. 10 said they had not traveled to either one of the countries. Draw a Venn diagram to find 1. The number of travelers that had gone to both countries before. 2. The number of travelers that had gone to Ghana before.
It’s urgent.
Answer:
10 ; 22
Step-by-step explanation:
Ghana = G
Cameroon = C
Cameron only = 8
Ghana only = 12
Total sampled = 40
Both Ghana and Cameroon = x
Not traveled to either = 10
Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either = total sampled
12 + 8 + x + 10 = 40
30 + x = 40
x = 40 - 30
x = 10
Number that had gone to Ghana before :
Ghana only + both
12 + x
12 + 10
= 22
Answer:
Step-by-step explanation:
729 ÷ 0.9
Do the solution
If its right i will make
You the brainliest
Answer:
Here's your ans
hope it helps you
find the volume and the total surface area of a cube whose edge is 1.5m.
Answer:
I think it's 18
Step-by-step explanation:
1.5 x 1.5 is the first area of a single side, which is 3. 3 x 6 is 18.
sorry if this is wrong!
Give that the line m is parrallel to the line r and m<IHB = (5y+39)° and m<HBC =(3y+85)° ,find m<CBG SHOW ALL WORK
Answer:
5y+39=3y+85 that is 5y-3y=85-39= 2y=46 and the answer is y=23
NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do
Answer:
∠W=110
∠X=110
∠Y=70
∠Z=70
Step-by-step explanation:
∠X+∠Y=180 (supplementary angles)
(13x-7)+(8x-2)=180
21x=189
x=9
∠X = 13x-7 = 13(9)-7 = 117-7 = 110
∠Y = 8x-2 = 8(9)-2 = 72-2 = 70
Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X
Use the distributive property to multiply. Simplify your Answer.[tex](3y + 5)(3y^{2} +2y-6)[/tex]
Given the equation 3x + y = 14, determine the slope of the line
Answer:
-3 is the slope of the line.
Step-by-step explanation:
You have to rearrange the equation to slope intercept form, y=mx+b.
3x+y=14
-3x -3x
y=-3x+14
Answer:
3x + y = 14
Step-by-step explanation:
rewrite in y = mx + b format
i.e y = 3x - 14
where m = slope
therefore m=3
HELP THIS IS DUE TODAY
Answer:
slope=0
Step-by-step explanation:
Conceptually, y never changes, which means the line is a straight horizontal line.
Mathematically, slope is the change in y over the change in x. For example, if we use the first 2 points:
[tex]\frac{2-2}{1-3} =\frac{0}{-2} =0[/tex]
Because 0 divided by anything is still 0.
In angle LMN, m= 2.1 inches, n = 8.2 inches and ∠L = 85 find the length of l to the nearest 10th of an inch
Answer:8.3
Step-by-step explanation:trust
After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
A. 0.222
B. 0.167
C. 0.083
D. 0.139
Answer:
hope this helps you
option B
Step-by-step explanation:
ecf-zutd-cpt.
The probability that the dice faces add up to either 4 or 6 is 0.222.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Here, After two six sided dice are rolled,
Total outcomes = 36
Probability of getting sum 4 = 3/36 {(1, 3), (2, 2), (3, 1)}
Probability of getting sum 6 = 5/36
Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36
= 8/36
= 2/9
= 0.222
Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.
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Hi. i need these exercises pls
(+2)+(+7)=..
(-3)+(-4)=..
(+7)+(-3)=..
(-2)+(+9)=..
(-3)+(+3)=..
HELP ME I AM BEING TIMED
math help ohh yup #5 in the middle
Answer:
m<7 = 49°
m<8 = 41°
m<9 = 49°
m<10 = 41°
Step-by-step explanation:
Given :
m<7 ≅ m<9
m<8 = 41°
m<7 = 90° - m<8 (complementary angles)
m<7 = 90° - 41° (substitution)
m<7 = 49°
m<9 = m<7 (m<7 ≅ m<9)
m<9 = 49° (substitution)
m<10 = 90 - m<9
m<10 = 90 - 49
m<10 = 41°
how do I solve the question 3/4+1/2
Answer: 1 1/4
Step-by-step explanation:
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36