Answers
Answer:
Step-by-step explanation:
[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]
Related Questions
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 20% of all adult Americans support the changes (b) 25% of all adult Americans support the changes
Answers
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
What is proportionality ?In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.
given
(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:
n = [(zα/2)² * p * (1-p)] / E²
where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.2 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²
n = 1536.64
Thus, the study would require at least 1537 more adult Americans to be sampled.
(b) The minimal sample size needed if the proposed modifications are
supported by 25% of all adult Americans is:
n = [(zα/2)² * p * (1-p)] / E²
where:
The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.25 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
To know more about proportionality visit:
https://brainly.com/question/29126727
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The side lengths of a triangle are 12.5 inches, 4.4 inches, and 11.7 inches. Which statement best describes the triangle formed using these side lengths?
A.) The triangle is an acute triangle
B.) The triangle is a right triangle
C.) A triangle cannot be formed using these measurements
D.) It is impossible to determine the type of triangle
Answers
Answer:
The triangle is a right triangle
Step-by-step explanation:
a4.4 x b11.7=c12.5 a4.4=19.36 b11.7=136.89 12.5=156.25 if you add a squared and b squared you get 156.26 which means its an right triangle
3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water
Answers
Answer:
what exactly are we solving
Step-by-step explanation:
Which graph represents the inequality x ≥ 23?
Answers
Answer:
D
Step-by-step explanation: A filled bubble means that it is equal to and whichever way the arrow is point represents whether the answer is greater than or less than.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
Find out more on inequality at: https://brainly.com/question/24372553
Given the figure below, find the values x of and z.
Answers
Answer:
x=7
z=79
Step-by-step explanation:
13x+10=101
13x=91
x=7
180-101=79
The vertex of the function is (6, -8)
Answers
Answer: I did a screen shot of the answer
Step-by-step explanation:
A wire of length 12½m is cut into 10 pieces of equal length. Find the length of each piece
Answers
Answer:
Each piece is 1.25m
Step-by-step explanation:
If you divide 12 1/2 by 10 you would get 1.25
Answer:
[tex] 1\frac{1} {4} \: m[/tex]
Step-by-step explanation:
Length of wire = 12½ m = 12.5 m
Number of pieces = 10
Length of each piece = 12.5/10= 1.25 m [tex] =1\frac{1} {4} \: m[/tex]
please help me i font understand not alink please i need it now
Answers
9514 1404 393
Answer:
25 km/h
Step-by-step explanation:
The relation between speed, time, and distance is ...
speed = distance/time
distance = speed × time
__
The distance relation is used to find the distance on the first line of the table. The problem statement tells you all of the distances are the same.
The speed relation is used to find the speed on the remaining lines of the table. For the average speed, the total distance and total time are used in the computation.
The average speed is 25 km/h.
Can y’all actually answer my question instead of those linking those links cause I don’t
Know what to do on there please & thank youu :)
Answers
Answer:
no
Step-by-step explanation:
the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4
plz help will give crown
Answers
Answer:
choice D) d ≥ 5
Step-by-step explanation:
40% of the students in a school are boys. lf there are 240 boys, how many student are therein the school?
Answers
Hope this helps
2
3
x +
1
2
y = 2
3
8
x +
5
6
y = −
11
2
Answers
Answer:
The answer is in the image below
Please help me solving part A
Answers
Answer:
Solution is at the image
Step-by-step explanation:
James bought a new DVD player with a 30% coupon. If James paid $87.00, what was the original price?
A. $113.10
B. $124.29
C. $147.90
D. $290.00
Answers
Answer:
$113.1
Step-by-step explanation:
: you add the 30% + the 87 bucks. Hope it helps friend! Please mark the brainliest. A.
Q. Find the value of x.
I need help
Answers
Answer:
9
Step-by-step explanation:
plz help will give crown
Answers
Ms. Larsen is buying 2 delivery vans for her business. The price of the first van
is shown below.
$16,257
The digit 2 in the price of the second van is 10 times the value of the digit 2 in the price of the first van. Which amount could be the price of the second van?
Answers
Answer:
18057
Step-by-step explanation:
uh just 200 x 10 = 200 add that to the 6 to make 18057$ which is the price of the second van.
which figure is described below?
the locus of points in a plane equidistant between ( -1 , 4 ) and ( 3 , 4 )
Answers
Answer:
D. lineStep-by-step explanation:
HELP PLSSSSS I GIVE BRAINLY
Answers
Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
Hope this helps!! :)
Please let me know if you have any questions
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answers
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
What is the median of the given set of data? 1. 1. 5. 4. 3. 7. 2.9. 4, 8
Answers
Answer:
4
Step-by-step explanation:
Arrange in order
1,1,2,3,4,4,5,7,8,9
Cross off each number from each side little by little
1,2,3,4,4,5,7,8
2,3,4,4,5,7
3,4,4,5
4,4
There are two numbers left so we would find whats between them. But, since it is the same number, you just write the same one as the median.
median= 4
What is the answer to 420 + 69 =
Answers
Answer:
420 + 69 = 489
Step-by-step explanation:
HOPE THIS HELPS
brainliest pls :)
Answer:
489
Step-by-step explanation:
420 + 69 = 489
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
Answers
You can try to show this by induction:
• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]
and
[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]
We want to then use this assumption to show the closed form is correct for n = k + 1, or
[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]
From the given recurrence, we know
[tex]S_{k+1}=S_k+2S_{k-1}[/tex]
so that
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]
[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]
[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]
[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]
[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]
which is what we needed. QED
What is the answer to 8/12 = ?/3
Answers
Answer:
? = 3×8/12 = 24/12 = 2
Step-by-step explanation:
Here it is, it is correct.
Answer: (2) /3
Step-by-step explanation:
#1 Way: Solve by a proportion
Let x be the unknown number
Given
8/12=x/3
Cross-multiply
12x=24
x=2
Ans: (2)/3
----------------------------------------------------------
#2 Way: Look at the product between numbers
Given
8/12=?/3
From this, we can see the difference (quotient) between the known value 3 and 12 is 4, meaning 12÷3=4.
Applying the same factor, 8÷4=2
Ans: (2)/3
Hope this helps!! :)
Please let me know if you have any questions
Gio weighed five boxes before he shipped them. The weights were: 52, 48, 48, 54, and 50 Which statement is true?
Answers
Answer:The mode is equal to the minimum
Step-by-step explanation:
Answer: The mode is equal to the minimum
Step-by-step explanation:
$72 for 7 1/2 hours. Find the unit rate
Answers
Answer:
$9.60 for 1 hour
The unit rate is $9.60
Step-by-step explanation:
Someone answer this please coreectly!!
Answers
Answer:
7 and 8
Step-by-step explanation:
[tex]7^{2} =49\\\\8^{2} =64[/tex]
Given P = 2 (l + b) when l = 15 and P = 50,
find b
Answers
Answer:
b = 10
Step-by-step explanation:
P = 2 (l + b)
l = 15
P = 50
Substitute
50 = 2 (15 + b)
multiply
50 = 30 + 2b
subtract
20 = 2b
divide
b = 10
P = 2 (l + b) when l = 15 and P = 50
To Find:-To find b
Solution:-P = 2 (l + b) [Given]
Putting the value of P = 50 and l = 15 we get,
50 = 2(15 + b)
[tex] \frac{50}{2} [/tex] = 15 + b
25 = 15 + b
25 - 15 = b
10 = b
So, b = 10
Value of b is 10. [Answer]A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is
not a multiple of 11?
• Give your answer in fraction form. Reduce the fraction if necessary.
Answers
Answer:
73/80
Step-by-step explanation:
multiples of 11 between 1 and 80 are 11,22,33,44,55,66,77
number of terms=7
P(multiple of 11)=7/80
P(not a multiple of 11)=1-7/80=73/80
David used exactly 8 cups of flour to make 6 bread. How much can he make with 12 cups?
Answers
Answer:
9 Loaves of Bread
Through dividing 6(total bread) by 8(total cups) you get 3/4C per bread
So you multiply 12 by 3/4 or 0.75 to get 9