Answers
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
Related Questions
help me!!!!!!!!!plzzz
Answers
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
5 + {[2 X (14 - 9)] - 1}
Answers
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
Solve for x. please help as fast as possible
Answers
Answer:
x=6
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
6x=36
÷6 ÷6
x=6
hope this helps,have a great day!!
~Pinky~
Why did the farmer open a bakery?
Answers
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
4(x+2) help please.
Answers
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:
x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31
Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)
Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:
Answers
Answer:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
Step-by-step explanation:
Given
[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]
[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]
[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]
Required
Use R code to determine the regression equation
[tex]y = b_o + b_1x_1 + b_2x_2[/tex]
First, write the following code in a R program
[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]
[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]
[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]
[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]
[tex]summary(mod)[/tex]
Next, run the program
See attachment for program and output
From the output, go to coefficients:
Check Estimate Std. column, you have the following:
[tex](Intercept) = 415.113[/tex]
[tex]x_1 = -6.593[/tex]
[tex]x_2 = -4.504[/tex]
[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:
[tex]b_o \to[/tex] Intercept
[tex]b_1 \to x_1[/tex]
[tex]b_2 \to x_2[/tex]
Hence, the least square regression equation is:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
Find the length of the missing side
Answers
Answer:
it should be 40 in.
Step-by-step explanation:
because you have to use pythagorean theorem which is A square plus B square equals C square
Hope it helps.
Can you please help me
Answers
Answer:
is there amultipe choice answer if so list them down
Step-by-step explanation:
A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answers
Answer:
Step-by-step explanation:
B?
can someone help me please
Answers
Answer:
perimeter: 36
area: i dont know sorry
Step-by-step explanation:
In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.
Answers
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answers
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
Answers
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.
A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?
Answers
Answer:
[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]
Answer:
1.24 ft
Step-by-step explanation:
the volume of sphere = 4/3π.r³ = 1
=> r³ = 3/(4π)= 3/(12.56) = 0.239
r = ³√0.239
r = 0.62
d = 2×0.62 = 1.24 ft
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answers
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
Solve the equation of 4y=20 then find the value of y?
Answers
Answer:
y=5
Step-by-step explanation:
Answer:
4y=20
y=20/4
y=5
Step-by-step explanation:
Hope this helps u!!
Determine the volume if the figures below round to the nearest hundredth
Answers
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answers
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
How do I solve this?
Answers
Answer:
find all numbers, stick together o make an uqaion and solve . simplifi if needed
Step-by-step explanation:
In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.
What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:
Answers
Answer:83.3
Step-by-step explanation:
Jeremy bought 5/10 kg of mangoes, 3/4 kg of bananas and 1/2 kg of papayas. How many kilograms of fruits did he buy in all?
Answers
Answer:
add 5/10+3/4+1/2 you add number i will give you hint
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answers
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
sqrt 4^2+3^2=5
c= 16 + 9
c= 25
I think this is it
PLEASE HELP WILL MARK BRAINLYIST HELP
Answers
Explanation
1/2 divided by 4 = 1/8
Just trust me, and mark me brainliest ty
Have a nice day!
Please help me answer this ASAP!
Answers
Answer: z=25 x=114
Step-by-step explanation:
At which value in the domain does f(x) = 0?
2
2
4
Answers
Answer:
4
Step-by-step explanation:
Find the surface area of the hemisphere 6cm
Answers
Answer:
452.4 cm^2
Step-by-step explanation:
[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]
I hope that is useful for you :)
125 ft to yd what is the answer
Answers
Answer:
your answer is 41.6667
Answer:
41 2/3 yards
Step-by-step explanation:
Divide by 3 because 3ft in one yard
125 / 3 = 41 2/3 yards
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answers
Answer:12
Step-by-step explanation:just know i did it and got it right
What is the surface area of the solid shown below?
Answers
Answer:
[tex]\text{C. }156\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]