Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?
Answer:
cosθ = c/√1+c²Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
What is the sum of (-3)+(200)-(50)?
Answer:
147 is your answer.
I need help on this please!!
Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
Think about the expansion for the binomial
(2x - y2)6.
The first term of this binomial is 2x.
The second term of this binomial is -y2.
What is the correct formula for the fifth term in this binomial expansion?
A)6C4(2x)4(-y2)2
B)6C4(2x)2(-y2)4
C)6C5(2x)(-y2)5
Answer: B
6C4(2x)2(-y2)4
Step-by-step explanation:
2020 edge
magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue
Answer:
$15.28 for 6 issues cost more
Step-by-step explanation:
$29.88 divided by 12 is $2.49
$15.28 divided by6 is $2.546
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
To know more about line segments:
brainly.com/question/17006091
#SPJ5
1 6+ 7 + 4x = x + 3x + 7 pls show work
Answer: x=2 Please mark as brainliest
Step-by-step explanation: 16+7+4x=x+3x+7
combine like terms: 23+4x=4x+7
get x to one side: 23=8x+7
subtract: 16=8x
divide: x=2
n Ms. Ayala's class, 45% of the students regularly play video games. If 18 students regularly play video games, how many students are in the class?
Answer:
40 students
Explanation:
So its 45% out of 100%. multiply 18 by 100% and divide it by 45 and you get 40
Provide a) the **EQUATION** and b) the solution for the following:
During a charity drive, the senior class raised $85 more than twice the amount raised by the freshman class. The senior class raised $555. How much did the freshman class raise?
Answer:
y= 2x + 85
y= $555
x= $235
Step-by-step explanation:
Let y be the amount the senior class raised
Let x be the amount the freshmen class raised
Insert known values
$555 = 2x + $85
Subtract 85 from both sides
$470 = 2x
Isolate the variable (x) by dividing each side by 2
$235 = x
Hope this helps! :)
Can somebody help me with this pleaseee I need help
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225
608 thousands minus 1 hundred thousand
Answer:
607 thousand
Step-by-step explanation:
Answer:
508,000
Step-by-step explanation:
608000 - 100000 = 508,000I hope this helps!
The mean salary of 5 employees is $42200. The employee salaries have 2 modes: $32500 and $52000. If the median salary gets a $2000 raise, then....
a) what is the new mean?
b) what is the new median?
Answer:
I believe the answer is
Step-by-step explanation:
mean is 42,200 and median is 26,000
PLEASE HELP IT'S DUE NOW!!
Karina had $32 when she arrived at the carnival. After riding six rides, she had $17 left. Solve 32 - 6x = 17 to find the price of each ride.
Answers Choices:
A. $2.50
B. $8.17
C. $9.00
D. None of the above
If you answer, thanks SO much!!!
Answer: It is A. What grade are you in
Step-by-step explanation:
Answer:
A. 2.50
Step-by-step explanation:
32 - 17 = 15, so you lost 15 dollars.
15 divided by 6 = 2.50
A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have
Answer:
18
Step-by-step explanation:
Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex] [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex] [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex] 108/6 = 18I hope this helps!
What would be an appropriate label for the y-axis? Captionless Image
For wat kinda graph ND wat topic
2. Use prime factorization to find the
LCM of 30 and 75.
Answer:
150 is the LCM for 30 and 75
The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.
What real number represents the change in temperature
Answer:
-5 degrees
Step-by-step explanation:
In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...
(-2) - 3 = x
-5 = x
Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees
Please answer the last one!
Answer:
Step-by-step explanation:
your in on campus school
Answer:
Yes
Step-by-step explanation:
A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?
Answer:
In 66 days will the number of single downloads be 5 times the number of album downloads
Step-by-step explanation:
For the music website, we know 68 single songs and 40 albums were sold today.
The number of single downloads increases by 12 each day. This means that in t days, there will be:
68 + 12t single downloads
The number of album downloads increases by 2 each day. In t days, there will be:
40 + 2t
We need to find when the following condition is met:
68 + 12t = 5(40 + 2t)
Operating:
68 + 12t = 200 + 10t
Rearranging:
12t - 10t = 200 - 68
2t = 132
Solving:
t=132 / 2
t = 66 days
In 66 days will the number of single downloads be 5 times the number of album downloads
Exercise 6.11 presents the results of a poll evaluating support for a generic "National Health Plan" in the US in 2019, reporting that 55% of Independents are supportive. If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Answer:
The sample size is [tex]n =6697[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.55
The margin of error is E = 0.01
Given that the confidence level is then the level of significance is mathematically represented as
[tex]\alpha = (100 -90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Gnerally the sample size is mathematically represented as
[tex]n = \frac{[Z_{\frac{\alpha }{2} }]^2 * p(1-p)}{E^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n =6697[/tex]
Scott and Lana ride bikes a total of 64 miles in a week. Lana rides 8 fewer miles than Scott. How many miles does Lana ride each week?
A) 28
B) 36
C) 56
D) 72
Answer:
Welcome to Brainly! The answer is C. 56
Step-by-step explanation:
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
Why was Russia slow to modernize?
Answer:
Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.
Explanation:
Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.
However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.
Step-by-step explanation:
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
10 Points if you answer this!!!!
Answer:
1 result(s) found
25
9⋅(r−25)
Step-by-step explanation:
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number
Leslie played Tetris yesterday. She said, "If you multiply my score by 6, then
increase it by 45, then divide that answer by 3, you will get exactly 835.” What was
Leslie's score? Please explain step by step.
Answer:
(6x+45)÷3=835
2x+15=835
2x=820
x=410
Lesile's score is 410
Question 2
20 pts
If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is
the range?
O (-5,-2), (-7,0).(-4,1)
O (3.0), (5.-2), (2,-3)
0 (0,3), (-2,5),(-3,2)
O (-2,-5), (0, -7), (1, -4)
Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].
Then we proceed to find all elements of range:
[tex]A(x,y) = (1, -4)[/tex]
[tex]f(1,-4) = (-4+2,-1-4)[/tex]
[tex]f(1,-4) = (-2,-5)[/tex]
[tex]B(x,y) = (3,-2)[/tex]
[tex]f(3,-2) = (-2+2,-3-4)[/tex]
[tex]f(3,-2) = (0,-7)[/tex]
[tex]C(x,y) = (0,-1)[/tex]
[tex]f(0,-1) = (-1+2,0-4)[/tex]
[tex]f(0,-1) = (1,-4)[/tex]
Which corresponds to option D.
please simplify this expression: -2x+11+6x
Answer:
4x+11
Step-by-step explanation:
−2x+11+6x
Combine Like Terms:
=−2x+11+6x
=(−2x+6x)+(11)
=4x+11
After simplifying the expression is 11 + 4x .
Given,
-2x+11+6x
Now,
Equation : -2x+11+6x
Combine the like terms and simplify further ,
So,
11 -2x + 6x
11 + 4x
Thus the simplified form is 11 + 4x .
Know more about equation,
https://brainly.com/question/17181370
#SPJ6
Which expression can be used to convert 5 meters per second to km per hour?
Answer:
i dont even know duh
hehehe
Step-by-step explanation:
