Answer: B, C, D
Step-by-step explanation:
/\.p.€.x
Since, tigonometric identities are equal on both the sides (left hand side and right hand side) of the equation, Options (B), (C), and (D) represent the dientities.
Identification of the tigonometric identites: Trigonometric identities are the equalities having two trigonometric expressions equal for all values of the variables on both the sides.To prove the expression as identity prove both the sides of the equation are equal.
Option A
cos(x + y) + cos(x - y) = cos²2x - sin²2y
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx. siny + cosx.cosy + sinx.siny
= 2(cosx.cosy)
But the left side of the equation is (cos²2x - sin²2y).
Hence both the sides are not equal and it's not an identity.
OPtion (B).
sin(x - π) = -sinx
Left hand side = sin(x - π)
= -sinx sin(x - π)
= sinx.cosπ - cosx.sinπ
= -sinx - 0
= -sinx [Right hand side]
Since, both the sides are equal, it's an identity.
Option (C).
sin(x + y) - sin(x - y) = 2cosx.siny
Left hand side = sin(x + y) - sin(x - y)
= sinx.cosy + cosx.siny - sinx.cosy + cosx.siny
= 2cosx.siny
= Right hand side
Since, both the sides are equal, it's an identity.
Option (D).
cos(x + y) + cos(x - y) = 2cosx.cosy
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny = 2cosx.cosy
= Right hand side
Since, both the sides of the equation are are equal. It's an identity.
Therefore, Option (B), (C), (D) are the correct options.
Learn more about the trigonometric identities here,
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What Reasoning could you use to prove the two triangles shown below are congruent?
AAS
SAS
ASA
SSS
I KNOW ITS SAS....................
you need to use SAS
Step-by-step explanation:
so first you write PQ=QR
PQS=SQR
PS=SR
Harriet worked out five times last week Each day, she ran on the treadmill and then walked for 20 minutes. She ran on the treadmill for the same amount of time each day. If she worked out for a total of 265 minutes, how much time was spent on the treadmill running each day?
Answer: it’s 13.25
Step-by-step explanation:
prove that Sn=n(n+1) for the sequence an=2n,where n is any positive integers
Answer:
Proved
Step-by-step explanation:
Given
[tex]a_n = 2n[/tex]
Required
Prove that [tex]S_n = n(n+1)[/tex]
The given sequence is an arithmetic sequence.
The Sn of this sequence is:
[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]
Calculate a1
[tex]a_n =2n[/tex]
[tex]a_1 =2*1[/tex]
[tex]a_1 =2[/tex]
So, we have:
[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]
[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]
Factor out 2
[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]
[tex]S_n = n(1 + n)[/tex]
[tex]S_n = n(n + 1)[/tex] --- Proved
15 PTS !!
NEED ASAP HELP !!
Answer:
314.16 m^2
Step-by-step explanation:
Please help im so confused
Answer:
1/3
Step-by-step explanation:
There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!
The perimeter of a rectangle is 180 cm. The length is 3 times more than the width. What
is the length of the rectangle
Answer:
67.5,
Step-by-step explanation:
22.5x3 =67.5, P=2(l+w)=2·(22.5+67.5)=180
In triangle ABC, one angle measures 68°, another measures 19°, what is the measure of the third angle? *
Answer:
93°
Step-by-step explanation:
In triangle ABC
one angle = 68°
Another angle = 19°
Let the third angle be X Then
x + 68° + 19° = 180° { being sum of angles of triangle }
x = 180° - 87°
x = 93°
The measure of the third Angle is 93°
Hope it will help :)
What is the volume of the prism?
Answer:
Step-by-step explanation:
cuál es el número entero de 2° bajo Cero
Answer:
-2 °C.
Step-by-step explanation:
Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.
$26,088,808.74 +
$34,311,887.98 =
Answer:60,400,696.72
Step-by-step explanation:
it just is...
PROINTERENCIAS cuyos RADIOS HIDEN 115m
225m
SON TAN GENJES EXTERIOVENTE ENTRE
OGULOS QUE SE FORAN CUANDO SE UNEN
ros
DE DICHAS CIRCUNFERENCIAS
Answer: what does this say
Step-by-step explanation:
What is 2 2/3 x 1 3/4
A. 2 1/2
B.32/21
C.15/7
D. 4 2/3
Solve
Answer:
D: 4 2/3
Step-by-step explanation:
First convert these mixed numbers into improper fractions:
8/3 x 7/4 =
(8x7)/(3x4)= 56/12.
Now simplify 56/12, which would be 14/3. Now convert this into a mixed number: 4 2/3.
What is 2 2/3 x 1 3/4 estimate: 2 ₓ 4 Or 8
5 / 2 ₓ 15/ 4 = 75/8
=9 3/8 Convert to mixed
number, divide 75 by 8.
Solve these with work shown please.
Step-by-step explanation:
substitute the value in the value of x and u will get the result.
which orded pair is a solution of the equation 2x+4y=6x-y
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
An angle measures 170°. Through what fraction of
a circle does the angle turn?
My answer: i need a graph
What is the simplified answer?
Answer:1 and 1/2
Step-by-step explanation:
Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?
Whoever answers first gets brainliest please help
Answer:
Brothers Sorry I don't
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Suppose a student carryinga virus returns toan isolated college campus o 1000 students. Determine a differential equation for the number x(t) who have contracted the fluif the rate at which the disease spreads is proportional to the number of interactions between the number of students who have the fluand the number of students show have not been exposed to it.
Answer:
[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ;
where k is the proportionality constant
Step-by-step explanation:
Let
The number of people who are infected with the flu = x(t)
Total number of students = 1000
So,
Total number of student who do not expose with the flue = 1000 - x(t)
As given,
We have to find the differential equation such that
The rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students show have not been exposed to it.
⇒[tex]\frac{dx}{dt}[/tex] ∝ x(t) . [ 1000 - x(t) ]
⇒[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ; where k is the proportionality constant
I need help on 21 and 22
Answer:
Q-22 (a) area of each face (square) = sxs
= 10 x 10
= 100 inches²
Total surface area = 6a²
= 6 x 10 x 10
= 600 inches²
1
Add or subtract and simplify. *
(3d + 5) + (40 – 1)
(2a+5)³ is equal to 8a³+60a²+________?
the answer is will be +50a+125
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27
Answer:
0
Step-by-step explanation:
what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25
What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end
Answer:
Whole numbers, repeating decimals, and decimals that never end
Step-by-step explanation:
Solve the quadratic equation
X^2+3x-70=0
Answer:
X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)
Step-by-step explanation:
Please mark as brainliest
x^2 and -x^2 for x =-3
Answer:
9 and -9
Step-by-step explanation:
x^2:
all you have to do is (-3)^2 = -3 * -3 = 9
-x^2:
this would be -(-3)^2
the order of operations says to do exponents first, so you would have:
-(9) or -9
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.08. It is estimated that 18 % of the population who take this test have the disease.
You may want to construct a table as in your course materials. Use a population of 10,000 people.If the test administered to an individual is positive, what is the probability that the person actually has the disease?Express your answer rounded correctly to three decimal places.
Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex] ......(1)
The P(positive) is,
[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]
[tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]
= 0.8041
HELP- PLSS i beggggggg
Answer:d) 40 students
for the second one, it would be 26.
Step-by-step explanation:
A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like, looking for clusters and gaps in the scores. Which type of graph is the most appropriate?
A) Steam and Leaf
B) Circle Graph
C) Box and Whisker Plot
D) Line Graph
The most appropriate graph is the (d) line graphs
How to determine the appropriate graph?From the question, we understand that:
The distribution should include clustersThe distribution should include gapsClusters and gaps are easily identified in line graphs, more than the other graphs.
This is also known as the dot plot
Hence, the most appropriate graph is the (d) line graphs
Read more about graphs at:
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You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study.
Quality of Management Reputation of Company
Excellent Good Fair
Excellent 40 25 8
Good 35 35 10
Fair 25 10 12
Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company.
a. State the null and alternative hypotheses.
b. Find the value of the test statistic. (Round your answer to three decimal places.)
c. Find the p-value. (Round your answer to four decimal places.)
Answer:
Step-by-step explanation:
The null and alternative hypothesis:
[tex]H_o \text{: Quality of management and reputation of company are independent}[/tex]
[tex]H_a \text{: Quality of management is not independent of the reputation of company }[/tex]
The observed values:
Excellent Good Fair Total
Excellent 40 25 8 73
Good 35 35 10 80
Fair 25 10 12 47
Total 100 70 30 200
The expected values = (Row total/column total)/grand total)
Excellent Good Fair
Excellent 36.5 25.55 10.95
Good 40 28 12
Fair 23.5 16.45 7.05
O E (O - E)²/E
40 36.5 0.3356
35 40 0.6250
25 23.5 0.0957
25 25.55 0.0118
35 28 1.7500
10 16.45 2.5290
8 10.95 0.7947
10 12 0.3333
12 7.05 3.4755
9.951
[tex]X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}[/tex]
Degree of freedom [tex]df = (r-1)(c-1)[/tex]
[tex]df = (3 - 1 ) (3 - 1)[/tex]
[tex]df = (2)(2)[/tex]
[tex]df = 4[/tex]
Using Excel formula =CHIDIST(x²,d.f)
The P-value = 0.0413
