Answer:
Vertical intercepts: (-2,pi/2) and (-10,pi/2)
Horizontal intercepts: (4,0) and (-4,0)
Step-by-step explanation:
I took the test and got it right.
The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.
r = 4 - 6sin(Ф)
0 = 4 - 6sin(Ф)
6sin(Ф) = 4
sin(Ф) = 4/6
sin(Ф) = 2/3
We can use an inverse sine function to find the value of theta:
Ф= sin^-1(2/3)
Ф≈ 41.81° or 138.19°
These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).
To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.
When Ф= 0:
r = 4 - 6sin(0)
r = 4
So the limacon intercepts the y-axis at (0, 4).
When Ф= pi:
r = 4 - 6sin(pi)
r = 10
So the limacon intercepts the y-axis at (0, -10).
Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).
Learn more about intercept here:
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I am confused. I believe it is 5(x^2+2)=45
Here is the problem: 5 times the square of a number and 2 is 45.
Answer:
Step-by-step explanation:
Answer:
x=2.16/x= -4.16
Step-by-step explanation:
you must use quadratic formula if the solved equation cannot be factorised
Someone please help me on this question please. Don’t put a link. Please help me.
9514 1404 393
Answer:
34 < x < 74
Step-by-step explanation:
Assuming we're concerned with a triangle, the third side must have a length between the difference and the sum of the two given sides.
54 -20 < x < 54 +20
34 < x < 74
Someone help and PLZ make sure it’s RIGHT :)
Answer:
The Answer's no i believe
Answer:
I think yes
Step-by-step explanation:
If im wrong i am very sorry!
NEED HELP I WILL BE GIVING BRAINLIEST:)
Answer:
mathematics
Step-by-step explanation:
A triangle has one side that is 31 inches long and a second side that is 44 inches long. The least possible length of the third side is_____ in. The greatest possible length of the third side is____in. (Please write the answer in whole numbers only)
BRAINLIEST!!!!!!!
Answer:
The lowest length on the third side is less that 30 and the largest is between 40 and 30
Step-by-step explanation:
Could someone help, please?
Answer:
DCB=33
Step-by-step explanation:
We are given the angle for a and we know the angle for ADC is 90 because AB & DC are perpendicular. Given two angles of a triangle we can find the third by subtracting the two known values from 180 because we know a triangle totals 180.
180-33-90=57
So we can also find CDB because we know AB & DC are perpendicular. It is also 90 because two perpendicular lines make a 90 angle.
DCB can be found because we know that ACB makes a 90 angle and the ACD portion is 57. So we subtract 57 from 90.
90-57=33
We can also find CBD by subtracting CDB and DCB from 180.
180-90-33=57
More than question asked but wanted to help you see connections between them.
Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.
Answer:
11.1 feet
Step-by-step explanation:
When you are given a right triangle with a given angle and side, you can use
trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.
These ratios can be remembered by the mnemonic:
SOH CAH TOA.
S O H → Sin (Sine) = Opposite / Hypotenuse
C A H → Cos (Cosine) = Adjacent / Hypotenuse
T O A → Tan (Tangent) = Opposite / Adjacent
______________________________________
The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.
Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.
Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.
Because: 36 = Hypotenuse Side.
cos(72)° = Adjacent Side / Hypotenuse Side.
36 × cos(72°) =
36 × 0.309016994374... = 11.12461179749... ≈ 11.1
PLEASE HELP Adam has a rectangular swimming pool. He fills it with water to a depth of 5 feet. The water has a VOLUME of 1200 cubic feet.
Step-by-step explanation:
Given that,
The depth of the pool is, h = 5 feet
Volume of the pool, V = 1200 cubic feet
We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :
[tex]V=lbh[/tex]
Where
l and b are length and breadth
So,
[tex]lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240[/tex]
The first possibillity for dimension is (10×24). Another can be (12×20).
what is the sum 10 + (-10)
Answer:
0
Step-by-step explanation:
because
k c r
10 + (-10)
10 - 10=0
Answer:
☛☚um its 0
Step-by-step explanation:
When graphing a system of equations with one solution, the slopes of the two lines will be
Answer:
independent
Step-by-step explanation:
independent
Find the value of x (helppppppppppppoppppppp)
9. Which of the following is the interquartile range of the data set shown below?
(1) 5.5
(2) 7
(3) 10.5
(4) 21
19, 22, 25, 28, 28, 32, 32, 32, 34, 40
Answer:
21
Step-by-step explanation:
A box in the shape of a triangular prism is painted for a project. Which formula would be used to find the lateral surface area of the triangular prism?
Answer:
LSA = (a+b+c)×h
Step-by-step explanation:
The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)
Let us assume that three side of triangle are a, b, c and height of prism is h
Then lateral surface area of the prism can be LSA = (a+b+c)×h
Can somebody plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD
Answer:
Shown Below
Step-by-step explanation:
WPT = 90
WPV = 30
VPT = 60
VPS = 90
RPS = 60
WPS = 120
QPS = 150
The grades on a language midterm at Santa Rita are roughly symmetric with u = 77 and o = 3.5.
Tiffany scored 80 on the exam.
Find the Z-score for Tiffany's exam grade. Round to two decimal places.
Answer:
0.85
Step-by-step explanation:
The Z-score for Tiffany's exam grade will be 0.85. The value of Z score for the different distribution is different.
What is the z score?The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
The Z score is found as;
[tex]\rm Z= \frac{x-\mu}{\sigma} \\\\ Z=\frac{80-77}{3.5} \\\\ Z=0.85[/tex]
Hence,the Z-score for Tiffany's exam grade will be 0.85.
To learn more about the Z score refer to;
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Ben says he will sell Catalina a ring that he found in his yard. Ben and Catalina look at the ring and decide that they are not sure what it is, probably just a shiny stone. Catalina pays Ben $10 for the ring. The ring turns out to be a diamond worth much more than $10. Ben wants the ring back, and Catalina refuses. What is the most likely result
Answer:
If both parties are over the age of 18, a lawsuit is likely to occur.
Step-by-step explanation:
Ben would likely try and sue Catalina for theft, however she wouldn't be found guilty because of the transfer of property, goods, and or services was entirely legal in this case.
PLEASE HELP ASAP!
Which of the following equations have a solution that is negative? Select all that apply.
please no file links. thanks!
qual é a raiz quadrada de 841?
Answer:
29
Step-by-step explanation:
Convert 189 To A Decimal And Then Round Your Answer To The Nearest Whole Number (29) Is Already Rounded To The Nearest Whole Number So Your Answer Is 29
A club has members from three grades.
It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.
What is the ratio of the club's seventh graders to eighth graders?
Last one
What is the volume, in cubic centimeters, of the cylinder?
A 602.88
B 150.72
C 50.24
D 301.44
Answer:
A
Step-by-step explanation:
The base of your cylinder has a radius of 4 cm, its area is 16 × 3.14, or 50,24 square centimeters. If that same cylinder is 12 cm tall, its volume is 50,24 × 12 = 602,88 cubic centimeters.
Hope this helps
Kind Regards
Farah Syed
The current population of Jordan is 10,123,540. The GDP is 42.29 billion. Calculate the GDP per capita of Jordan in 2019
Step-by-step explanation:
GDP per capita =
Total GDP / Total Population
[tex] = \frac{42.29 \times {10}^{9} }{10123540} \\ = 4177.39[/tex]
in dollars.
Note billion = 10^9.
HEKEIAINF AIUOSF AOFNK IO:SAB AIOSFBJK ASMEHELPPP
Answer:
Ummm give me a second let me solve this
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
I think 96° but not fully sure sorry if wrong
If f(x) equals X-1 which of the following is the inverse of f(x)
Answer:
40.86 28.98
Step-by-step explanation:
because if its wrong then it is racist
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
the answer is b Both pairs are parallel to each other
Answer: its b, shawty
Step-by-step explanation:
probably
complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15)<0
Answer:
[tex](x + 3)(x - 5)(x-3)<0[/tex]
Step-by-step explanation:
Given
[tex](x + 3)(x^2 - 8x + 15)<0[/tex]
Required
Complete the factoring
[tex](x + 3)(x^2 - 8x + 15)<0[/tex]
Expand
[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]
Factorize:
[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]
Factor out x - 3
[tex](x + 3)(x - 5)(x-3)<0[/tex]
The expression has been completely factored
Choose the graph with a slope of 1/2
Answer:
d has is the graph with the slope of 1/2.
Step-by-step explanation:
the rise over run from point to point is how you determine the slope.
i hope this helps :)
Mr. Garcia deposited $2,500 in a new account at his bank.
The bank pays 6.5% interest compounded annually on this account.
Mr. Garcia makes no additional deposits or withdrawals.
Which amount is closest to the balance of the account at the end of 2 years?
A.$2,513.00
B.$2,662.50
C.$2,835.56
D.$2,825.00
Answer:
$2,825.00
Step-by-step explanation:
First, I found out what 6.5% of 2,500 is, so 6.5% x 2,500 = 162.5 . Then I did 162.5 x 2, which equals 325. I then added 325 to 2,500 and got 2,825.
GIVING BRAINLIEST HELP ASAP! please tell me how you did it so I can learn it
Answer:
Ok since u want to learn ill teach you :)
Get your 3 points and then your do this
Example= 3 power of 2 plus 5 power of 2
Then ur gonna add and get your answer hope this helps
(if u still don't get it ill just give u the answer)
7.2
Step-by-step explanation:
Hope u kinda got a good start on this :)
If there are 48 oranges then how many apples are there?