Answer:
a. Sin θ = y/r
b. csc θ = r/y
c. cos θ = x/r
d. sec θ = r/x
e. tan θ = y/x
f. cot θ = x/y
g. x² + y² = 1
Step-by-step explanation:
Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²
a. Sin θ = opposite/hypotenuse = y/r
b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y
c. cos θ = adjacent/hypotenuse = x/r
d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x
e. tan θ = opposite/adjacent = y/x
f. cot θ = adjacent/opposite = 1/tan θ = x/y
g. Equation of the Circle: _ the unit circle (r = 1),
Since x² + y² = r² ,for a unit circle, r = 1. So,
x² + y² = 1²
x² + y² = 1
4. (A). Use the digits 1, 6, 7 and 5 to form the greatest 4-digit even
number.
(B). Divide the answer in (A) by 8.
Answer:
A)5176
B)647
Step-by-step explanation:
5176 is the highest even number that is divisible by 8
Step-by-step explanation:
7-5= 2
5-1= 4
5+1 =6
7+1= 8
therefore, the four digits even number are 2,4,6,8
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Answer:
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How would you rewrite this expanded form in exponential form?
7x7x7
1. 7^3
2. 3^7
Answer:
1st option is right
Step-by-step explanation:
hope it helps
Answer:
[tex]7^{3}[/tex]
Step-by-step explanation:
There are three 7's, so you would write it as [tex]7^{3}[/tex]I hope this helps!
Which of the following statements is true for the equation 2x+2=3x+1? The equation is never true. The equation is only true for x = 1 The equation is true for all values of x. The equation is true for all values except x = 1.
can someone please help me with this, I did it and I got 54 the answer, but 54 isn't an answer choice
Matt spins the spinner above 400 times and it lands on six 43 times. How many times out of the 400 spins would you predict spinner to land on six.
Answer:
50 times
Step-by-step explanation:
Given that:
Number of spins = 400
Sample space = (1, 2, 3, 4, 5, 6, 7, 8)
Probabililtybof landing on 6 on a single spin :
Probability = required outcome / Total possible outcomes
P(landing on a six) = 1/ 8
Probability of landing on a 6 in 400 spins :
1/8 * 400 = 50 times
use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3
Answer:
(1-x2)× (2-3x)2
(1-x2) ×(8-36x+54x2-27x3)
8-36x+54x2-27x3-8x2+36x3-54x4+27x5
8-36x+46x2+9x3-54x4+27x5
Answer: 27x5-54x4+9x3+46x2-36x+8
Step-by-step explanation:
step 1- expand the expression
step 2- remove the parentheses
step 3- collect like terms
step 4- reorder the terms
A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what is the approximate height of the tree?
Answer: The height of tree = 15 ft. 6 inches
Step-by-step explanation:
Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]
= 63 inches
Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches
= 42 inches
If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches
= 124 inches.
At the same time,
[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]
Hence, the height of tree = 15 ft. 6 inches
Which ratio is equivalent to the ratio 33:39?
A. 26:22
B. 22 to 26
C. 22 to 13
D. 13:22
9514 1404 393
Answer:
B. 22 to 26
Step-by-step explanation:
Multiply each value in the ratio by 2/3 to see an equivalent that is among the choices.
33 : 39 = (2/3)(33) : (2/3)(39) = 22 : 26
how do you multiply
Answer:
lets say you where multiplying by 2
2+ 2=4 so that would mean 2x2 is 4
and so on and so on
Step-by-step explanation:
ok so an equation like 2x3 is the same as 2+2+2.
Find the the value of x
Please help giving branliests to first answer
Answer:
I guess the answer is x=0.2/45
3 of 3
+ Automatic Zoom +
membership fee and then a per song download rate.
iTones charges $10 per month, and $1 per song
Music Mine charges $7 per month and $1.50 per song.
a) Write an equation for each music provider.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
iTones charges $10 per month, and $1 per song.
Music Mine charges $7 per month and $1.50 per song.
To calculate the total cost for each option, we need to use the following formulas:
iTones:
Total cost= 10 + 1x
x= number of songs
Music Mine:
Total cost= 7 + 1.5x
x= number of songs
FIND ANGLE OF DEPRESSION. PLS HELP. AND ANSWER IF YOU FOR REAL KNOW HOW TO ANSWER THIS. WILL MARK U A BRAINLEST IF ITS RIGHT
GIVING BRAINLY TO YOU IF YOU ANSWER QUICK Which of the following body parts has striped muscles?
Bladder
Heart
Intestine
Stomach
Answer:
heart
Step-by-step explanation:
Answer:
It would be the heart <3
Step-by-step explanation:
In the opening credits of each episode of
the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.
a) How many arrangements are there of all
the letters in FAWLTY TOWERS?
b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?
Which is the best prediction for the number of minutes
of exercising Sam will do if she spends 30 minutes
watching television that day?
45 minutes
0 72 minutes
O 83 minutes
O 118 minutes
Answer:
72 mins
Step-by-step explanation:
The number of minutes Sam spent on exercising is 72 minutes. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y = -0.78x + 95
Let x be the number of minutes of television Sam watched each day and y the number of minutes she spent exercising.
Here, x=30
Substitute x=30 in the given function, we get
y = -0.78(30)+95
= -23.4+95
= 71.6
≈ 72 minutes
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
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"Your question is incomplete, probably the complete question/missing part is:"
The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.
Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?
A. 45 minutes
B. 72 minutes
C. 83 minutes
D. 118 minutes
Find the area of each shaded region in each figure.
Answer:
Step-by-step explanation:
Area of Yellow Rectangle
Area = L * W
Area = 25 * 11
Area = 275
Area of Parallelogram
Area = Base * height
Area = 12 * 4
Area = 48
Area of shaded area
Area = rectangle - Parallelogram
Area = 275 - 48 = 227 square feet
PLS HELP it’s due today. Khan academy. One question. I’m struggling.
Answer:
132 square units
Step-by-step explanation:
We are to find the surface area of a square pyramid.
From the diagram above, we are given:
Slant height = 6 units
Base = 8 units
The formula is given as:
= 2bs + b²
= 2 × 8 × 6 + 6²
= 96 + 36
= 132 square units
III
Knowledge Check
Leila started a test at 9:43 AM and finished it at 10:12 AM.
How long did it take her? Give your answer in minutes.
x
Answer:
19 minutesStep-by-step explanation:
9:43 - 10:12
9:43 - 10:00 = 17 minutes
10:00 - 10:12 = 12 minutes
17 + 12 = 19 minutes
Hope that helps!
Answer:
29 minutes
Step-by-step explanation:
10:12 - 9:43 = 29 minutes
Enter an equation in the form y = mx + b that represents the function described by the graph.
PLEASE HELP
Answer:y=4x+2
Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.
simplify 6z + 9 + 3z + 2
Answer:
9z + 11
Step-by-step explanation:
6z + 9 + 3z + 2
9z + 9 + 2
9z + 11
Answer:
9z+11
Step-by-step explanation:
6z+9+3z+2
(6z+3z)+(9+2)
9z+11
What is the slope of the line that goes through
(2,-2) and (-1, 1)?
Answer:
m = -1
Step-by-step explanation:
use the slope formula so m = 1- -2 / -1 - 2
m = 1+2/-3, m=3/-3 so m = -1
Which of the following is the discriminant of the polynomial below x^2+4x+5
Answer:
[tex]\huge\boxed{\sf Discriminant = -4}[/tex]
Step-by-step explanation:
Comparing it with quadratic equation [tex]ax^2 + bx + c = 0[/tex], we get:
a = 1 . b = 4 and c = 5
So,
Discriminant = [tex]b^2-4ac[/tex]
D = (4)²-4(1)(5)
D = 16 - 20
D = -4
Hence,
Discriminant = -4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which number in the set {6, 12, 18, 36} satisfies the equation 3x - 9 = 27? Explain
Answer:
12
Step-by-step explanation:
3 x 12= 36
36-9= 27
If u can’t see it can I can post it again
Answer:
Step-by-step explanation:
The property of 30°-60°-90° :
The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.
Can someone find the surface area
Answer:
front triangle: (6x4)/2 = 12
back triangle: (6x4)/2 = 12
side: 12x5 = 60
other side: 12x5 = 60
bottom: 12x6 = 72
12 + 12 + 60 + 60 + 72 = 216
216 cm squared
The mean age of 5 people in a room is 39 years.
A person enters the room.
The mean age is now 36.
What is the age of the person who entered the room?
Answer:
fast multiply 5 by 39 to get the total age of the five people now as you are told those per 5 so imagine the six person being you if you enter you're going to add to their ages so they mean is going to be for six people so take the six people x their mean age now we have two different total ages for the five people and for the six people subtract the total age of the 5 from the 6th total ages to get the age of the person who entered the room if you don't understand please ask me and be willing to help
Answer:
The age of the person who entered the room is 21.
Step-by-step explanation:
Mean of 5 peoples = 39
i.e.
Sum / 5 = 39
Sum = 39 x 5
Sum = 195
Mean after one person enters the room = 36
Let x be the age of the new person.
Then
Mean = (Sum + x)/ 6
36 = (195 + x)/6
36 x 6 = 195 + x
216 = 195 + x
x = 216 - 195
x = 21
The eight-digit number ppppqqqq, where p and q are digits, is a multiple
of 45. What are the possible values of the eight-digit number? multiples
Answer:
There are two possible numbers: 99 990 000 and 44 445 555
Step-by-step explanation:
The multiples of 45 are 5 and 9
There are two possible numbers: 99 990 000 and 44 445 555.
What will be the two numbers?
Numbers are the numerical values like 1,2,3 etc.It is given that The eight-digit number ppppqqqq, where p and q are digits, is a multiple of 45.
Every multiple of 45 is a multiple of both 5 and 9 here P and Q are single-digit integers.
By using the rules of divisibility we can see that if q=0 or q =5 so 4P+4q is a multiple of 9.
If q=0 4P is a multiple of 9 P=9
If q =5 ( 4p + 5 ) is a multiple of 9
Hence p + 5 = 9 and p =4
Therefore there are two possible numbers: 99 990 000 and 44 445 555.
To know more about numbers follow
https://brainly.com/question/251701
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someone pls help me find the perimeter of this shape !! i’ll mark brainliest
Answer:
240 :)
Step-by-step explanation:
easy all u have to do is just add all the sides together but the empty sides with no number u have to try to figure out how much meters that is.
they're both 36 because they're the same size as the meters on the other side.
so its going to be
60+36+36+36+36+36
hope this helps
good luck!
During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .
Answer:
can you plz show a pic of the page ...
Step-by-step explanation: