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
n f(x) =10-2( x ), Solve when given f(12) function notation
Answer:
-14
Step-by-step explanation:
[tex]10 - 2(12) = - 14[/tex]
Which of the following expressions is equal to -3x2 - 12?
Answer:
C. (-3x+6)(x+2)
Step-by-step explanation:
that should help you
1.-Responde la pregunta: ¿para qué
me sirve el teorema de Pitágoras en la.
vida cotidiana?
Answer:
Respuesta. Respuesta: El Teorema de Pitágoras sirve para resolver una multitud de problemas; por ejemplo de, cálculo de distancias en el plano, en los mapas, en la realidad. ... En general, el Teorema de Pitágoras se puede utilizar para hallar longitudes en donde intervienen triángulos rectángulos.
In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people
Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
Day 2- Real World- Midpoint
While planning the layout of her yard, Laura created a grid
system representing her backyard. On the grid, Laura placed
the center of a herb garden at the coordinates (3.14) and wants
to place a bird bath at the point (7,29). If Laura wants to
position the center of a flower garden so that the bird bath is
halfway between the herb and flower gardens, at what
coordinates should the center of the flower garden be placed?
(11, 150
O (11,44)
O (4,44)
O (4,15)
Help
Answer:
Point of the flower garden R ( 11, 44 )
Step-by-step explanation:
Let´s call P ( 3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point
Differences in coordinates of these two points are:
x axis 7 - 3 = 4
y axis 29 - 14 = 15
Then the point Q ( x , y ) will be at: Q ( 11, 44)
x axis x = 11 because 7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x) 3 and 11 ( 4 above 3, and 4 below 11)
Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates (y) 14 and 44 ( 15 above 14 and 15 below 44)
We can probe getting distance d₁ between P and Q and d₂ distance between Q and R as:
d₁ = √ (7-3)² + ( 29-14)²
d₁ = √ 16 + 225
d₂ = √ (11 - 7)² + ( 44 - 29)²
d₂ = √ 16 + 225
What isthmus solution to the equation 2x+2=10
Answer:
addition
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
10-2=8
8/2=4
Hope this helps!
Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:
The Answer is
$287732
I wish you all the best of luck
16. Which one of the following mathematical statements is true?
O A. 28 – 0 = 0
Ca
MG3
OB. 0 - 28 = 0
O C. 28 + 0 = 0
7
O D. 28 = 0 = 0
Answer:
the answer is A
Step-by-step explanation:
because the other is in a wrong expression
The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.
Answer:
76 animals
Step-by-step explanation:
47+19+7+3= 76 animals.
0.8 kg is more or less than 0.6 kg
Answer:
More than
Step-by-step explanation:
Answer:
More
Step-by-step explanation:
Plizzz helppp I don't know how to do it helpp
Answer:
Lol I'll help you. So for the 1st problem, you need to subtract 7x from 4x but if your looking for and answer then x=2. For the 2nd problem subtract 3x-5x and 7 + 9 which brings you to -2x - 16 which means you would have to find x in this problem which means x has to be a negative. The negative answer is x= -32 since a negative x a negative is a positive. Which brings you to 16-16 and then 0. For the third one, you need to change the problem. Turn it into 5x - x = 4 + 8 which brings you to 4x = 12 making x =3. and for number 4 you need do the same as we just did and do 11x - 6x - 3x and then do 20 - 6 which brings you to 2x = 14 which makes x=7.
Step-by-step explanation:
Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units
Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
Video games made up 77.8% of the total revenue for a small specialty store.
A) 0.0778 B) 7.78 C) 77.8
D) 0.778
Timod at home while attending classes
Answer:
D
Step-by-step explanation:
This is saying 77.8% percent out of 100, therefore we right it like D
I hope this helped, please mark Brainliest, thank you!
Answer this please and thank you
Answer:
The Answer is x^2/2
Step-by-step explanation:
The ^ is the power of _
In this case ^ is the power of 2.
Let x be a discrete random variable that possesses a binomial distribution with n=5 and p=0.87. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required.
Answer:
[tex]Mean = 4.35[/tex]
[tex]SD = 0.5655[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
[tex]p = 0.87[/tex]
Solving (a): Mean
[tex]Mean = np[/tex]
[tex]Mean = 5 * 0.87[/tex]
[tex]Mean = 4.35[/tex]
Solving (b): Standard Deviation (SD)
[tex]SD = np(1 - p)[/tex]
[tex]SD = 5 * 0.87(1 - 0.87)[/tex]
[tex]SD = 5 * 0.87 * 0.13[/tex]
[tex]SD = 0.5655[/tex]
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400
Answer:
Use the graph and table to answer the questions.
Which vehicle loses the most value each year?
Car
Which vehicle will lose all of its value first?
Car
If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?
Truck
Step-by-step explanation:
Answer:
car car truck
Step-by-step explanation:
There are 400 boys at Oak Middle school and 12% play football. What is a reasonable number of boys that play football?
Answer:
About 48 students play football
Step-by-step explanation:
400 times 12% is 48
Which of the following numbers can be expressed as repeating decimals?
5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz
Answer:
7/9
Step-by-step explanation:
When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.
What is 27 5/6 - 2/7?
Answer:
my calculator says 1159/35
Step-by-step explanation:
what is equal to the value of |-28|? *
Answer:
0 - 28 = -28
Step-by-step explanation:
To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.
help help help help help
Express 13/4 as a mixed number
Answer:
3 1/4
Step-by-step explanation:
Answer:
3/1/4
Step-by-step explanation:
Please Mark Brainliest!! Hope this helped!!
The total amount of time University students in the United States spend sleeping,grooming,eating and drinking and traveling is about?
Answer:
11.7 hours
Step-by-step explanation:
According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.
Swear no one answers but plz show work ?!
7th grade math help me plzzz
Answer:
a. -7 + 3
b. draw 7 negatives + 7 positives
Step-by-step explanation:
Answer:
3.a) -7 + 3
3.b) 4
I hope this helps!
The coordinate grid shows the graph of four equations:
Which set of equations has (1, 2) as its solution?
A and D
C and D
A and C
B and D
Answer:
its A and C
Step-by-step explanation:
hope this helps and mark me brainliest
What is the answer for number 6
Answer:
x=6
Step-by-step explanation:
x−7=13
Step 1: Add 7 to both sides.
x−7+7=13+7
x=20
Answer:
x=20
YO I NEED SOME HALP WITH THIS
A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width
Answer:
width = 3/10 mi
Step-by-step explanation:
area = length * width
width = area/length
width = (3/4 mi^2)/(2 1/2 mi)
width = (3/4 mi^2)/(5/2 mi)
width = 3/4 * 2/5 mi
width = 6/20 mi
width = 3/10 mi