The value of sinx is 1 - 3cosx
What is Trigonometry?
Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The topic arose in the Hellenistic civilization during the third century BC from geometric applications to astronomical research. Today, four varieties of trigonometry are used: core, plane, spherical, and analytic. The ratio of the sides and angles of a right triangle is the subject of core trigonometry.
Solution:
1/cosx - tanx = 3
we can write tanx as sinx/cosx
this is because we know that sinx = Perpendicular / Hypotenuse
and cosx = Base / Hypotenuse
so if we divide sinx by cosx we will find that it is equal to Perpendicular / Base which is nothing but tanx
1-sinx = 3cosx
sinx = 1 - 3cosx
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The vertical dot plot shows the heights of the players on a recent NBA championship team A.write a statistical question that you can answer using by the dot plot then answer the question? Dot plot: 72;2 balls, 73;0 balls, 74;1 ball, 75:0 balls,76;2 balls,77;1 ball,78;0 balls ,79;2 balls,80;2 balls,81;2 balls,82;1 ball,83;1 ball,84;3 balls,85;1 ball. PLS HELP I NEED THIS ASAP
pls help, will give brainliest
Answer:
U HAD IT RIHH THERE..........GO ON b AND D
Step-by-step explanation:
help plsss. show work!!!
Answer:
52.2 ≈ x
Step-by-step explanation:
What we know:
-we see a right triangle
-we have one angle 75°
-we have one side 14
What we need to find:
-we need to find side x rounded to the nearest tenth
Solution:
tan α = opposite side to the angle α / adjacent side to the angle α
tan 75 = x / 14 , multiply both sides by 14
14 · tan 75 = x , use the calculator to multiply (make sure is set in degrees)
52.24871131 = x , round to the nearest tenth
52.2 ≈ x
Kareem works mowing lawns and babysitting. He earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will he earn for 7 hours of mowing and 5 hours of babysitting?
Answer:
$100.7
Step-by-step explanation:
(8.60) x 7 = 60.2
(8.10) x 5 = 40.5
60.2 + 40.5 = 100.7
Answer:
$100.70
Step-by-step explanation:
x=8.60(7)+8.10(5)
x=100.7
Can you please help me answer this thank you. A, B C or D
Since the Mean is of mean daily revenue of $5400
Also, the standard deviation is $54
For the sample mean
The mean and standard deviation will remain unchanged
Hence the answer is
Option A
1. Describe the three-dimensional shape that is generated by
rotating the two-dimensional shape around the axis shown.
A rectangular prism
C cylinder
B cube
D triangular prism
Answer:
Cylinder and cube are three dimensional shape
Answer:
triangular prism
rectangular prism
Step-by-step explanation:
tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?
A. 7
B. 4
C. 5
D. 6
Answer:
B. 4
Step-by-step explanation:
the sum of two sides of a triangle should be longer than one other side
Write a function DivideByThree that, given an integer number, computes the quotient of the division by 3 by counting how many times the number 3 is inthe original number?
int DivideByThree(int number)
{
//write your code here
Here's a possible implementation of the DivideByThree function in C:
int DivideByThree(int number) {
int count = 0;
while (number > 0) {
if (number % 10 == 3) {
count++;
}
number /= 10;
}
return count;
}
This function takes an integer number as input and returns the quotient of the division by 3 by counting how many times the number 3 appears in the original number. The function works as follows:
Initialize a counter variable count to 0.
While number is greater than 0, do the following:
a. If the last digit of number is 3 (i.e., number % 10 == 3), increment count.
b. Divide number by 10 to remove the last digit.
Return the final value of count.
For example, if we call DivideByThree(123456333), the function will count three occurrences of the digit 3 in the input number and return the value 1. If we call DivideByThree(33333), the function will count five occurrences of the digit 3 and return the value 1. If there are no occurrences of the digit 3 in the input number, the function will return 0.
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what is the length (in cm) of a pendulum that has a period of 0.537 s?
The length of the pendulum is approximately 24.99 cm.
The formula for the period of a pendulum is:
T = 2π√(L/g)
where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (approximately 9.81 \(m/s^2\)).
To find the length L of the pendulum in centimeters, we can rearrange the formula as follows:
L = (T/2π\()^2\) * g
Substituting T = 0.537 s and g = 9.81 m/s^2 (which is equivalent to 981 cm/s^2), we get:
L = (0.537/(2π)\()^2\) * 981
L ≈ 24.99 cm
Therefore, the length of the pendulum is approximately 24.99 cm.
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22 is 25% of what number
Answer:
88 is the 100 percent, so yeh
4. using the data from problem 3, create a 95 percent confidence interval for the ratio of the variances. please use 1 decimal place in your answer. at the 95 percent confidence level, is there a difference in the population variances of the two processes? please justify your answer.
For the population variance the confidence interval of 95% with standard deviation s = 17 is equal to (176.22, 559.35).
Sample standard deviation s = 17
sample size 'n' = 25
population variance= o2
To construct a confidence interval for the population variance,
Use the chi-square distribution,
The formula for the confidence interval is,
((n-1) × s^2)/chi2(a/2, n-1) ≤ o^2 ≤ ((n-1) × s^2)/chi2(1-a/2, n-1)
where chi-square(a/2, n-1) and chi-square(1-a/2, n-1) are the chi-square values for the given significance level a and degrees of freedom (n-1).
Substituting the given values, we get,
((25-1) × 17^2)/chi2(0.025, 24) ≤ o^2 ≤ ((25-1) × 17^2)/chi2(0.975, 24)
Calculating the chi-square values using a chi-square distribution attached table ,we get,
((24) × 17^2)/39.36 ≤ o^2 ≤ ((24) ×17^2)/12.40
Simplifying the expressions, we get,
176.22 ≤ o^2 ≤ 559.35
Therefore, the 95% confidence interval for the population variance is (176.22, 559.35).
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The given question is incomplete, I answer the question in general according to my knowledge:
Construct a 95% confidence interval for the population variance o2 if a sample of size 25 has standard deviation s = 17. Round the answers to two decimal places. The 95% confidence interval
y/3 = 12
please help w/ steps
Answer:
• 36Step-by-step explanation:
» Y/3 = 12» Y = 12 × 3 (Substitution)» Y = 36Solve in terms of d.
6dh = 2y
Answer:
d = \(\frac{2y}{6h}\)
Step-by-step explanation:
Given
6dh = 2y ( isolate d by dividing both sides by 6h )
d = \(\frac{2y}{6h}\)
The value of d from the given equation is d=y/3h.
The given equation is 6dh = 2y.
We need to solve the given equation in terms of d.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 6dh = 2y can be solved for d as follows:
d=2y/6h
⇒d=y/3h
Therefore, the value of d from the given equation is d=y/3h.
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Chad is training for a swimming gala by swimming 40 lengths a day. He worked out that if he double the lengths he has swum so far and then added six, he would have swum the 40lengths
Answer:
the answer is 17
Step-by-step explanation:
40-6=34. 34/2 = 17
1. Santiago's sister weighed 7 pounds, 14 ounces when she
was born. How many ounces did she weigh?
Answer:?
2. Polly bought a watermelon that weighed 295 ounces. What
is the weight of the watermelon in pounds and ounces?
Answer:?
3. An elephant at the zoo weighs 12.000 pounds. How many
tons does the elephant weigh?
Answer:?
Answer:
1) 126 ounces
2) 18 pounds and 7 ounces
3)6 tons
Step-by-step explanation:
Make a poster that shows the element of reciprocity in a society
Answer:
you have to create a poster some photos of property society limited
A line that has a slope of 1/2 and passes through the point (-4,7)
Answer:
y= ½x+9
Step-by-step explanation:
Use desmos makes it easier
what is the slope of the line? pls help
Answer:Rise= 4 Run= 5
Step-by-step explanation:
You have to do Rise over Run. You have to find two of the points and count going up and right.
The probability that any individual voter plans to vote for Trudeau is 31.01%. Assuming that everyone you will ask will truthfully answer your questions, calculate the probability, after asking 4 individuals that none of them say they will vote for Trudeau.
Probability of none of them say they will vote for Trudeau = 0.0123.
To answer this question, we need to first calculate the probability of an individual not voting for Trudeau. Since the probability of someone voting for Trudeau is 31.01%, the probability of someone not voting for Trudeau would be:
1 - 0.3101 = 0.6899
We can use this probability to find the probability that none of the 4 individuals we ask will say they will vote for Trudeau. This is a binomial probability problem where the number of trials is 4, the probability of success (not voting for Trudeau) is 0.6899, and we want to find the probability of 4 failures (none of the 4 individuals say they will vote for Trudeau).
We can use the binomial probability formula:
P(X=k) = (n choose k) * \(p^k * (1-p)^{(n-k)}\)
Where P(X=k) is the probability of k successes in n trials, (n choose k) is the binomial coefficient, p is the probability of success, and (1-p) is the probability of failure. In this case, k=0 (4 failures), n=4, p=0.6899, and (1-p)=0.3101.
P(X=0) = (4 choose 0) * 0.6899^0 * 0.3101^4
P(X=0) = 0.0123 (rounded to 4 decimal places)
Therefore, the probability, after asking 4 individuals, that none of them say they will vote for Trudeau is 0.0123.
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Help. Also, how do you give Brainliest?
Okay so basically when two people answer your questions it should give you the option to give brainliest otherwise sometimes it takes a few days to give it to someone. And for your question does it give any number options.?
Edit: f(-1)= 1 then f(1)= -10.
Answer:
two people need to answer the question your asking and their is a crown beside the flag under both answers
Step-by-step explanation:
What is 20% of 387?
77.4
hope this helps you
Answer:
77.4
Step-by-step explanation:
F= P(1 + r)!
Rearrange the formula to highlight the present value.
P=
\(\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1\)
Evaluate ∫−22(X+3)4−X2dx By Writing It As A Sum Of The Following Exercises Are Intended Only For Those Who Have Two Integrals And Interpreting One Of Those Integtets Iatists Already Covered Chapter 6. Of An Area. 67-84 Evaluate The Integral. 56. Evaluate ∫01x1−X4dx By Making A Sulssil To The The 67. ∫5−3xdx 68. ∫E−5rdr 57. Breathing Is Cyclic And A Full
To evaluate the integral ∫[-2,2] \((x+3)^4 - x^2 dx\), we can break it down into two separate integrals: ∫[-2,2] \((x+3)^4 dx\)and ∫[-2,2] \(x^2\) dx. By applying the power rule and integrating each term separately, we can find the values of these integrals and then subtract them to obtain the final result.
To evaluate the integral ∫[-2,2] \((x+3)^4 - x^2\) dx, we split it into two separate integrals: ∫[-2,2] \((x+3)^4 dx\) and ∫[-2,2]\(x^2\) dx.
For the first integral, we can expand (x+3)^4 using the binomial theorem or by using the power rule repeatedly. We integrate each term of the expanded expression, and evaluate the integral over the given limits of integration [-2,2].
For the second integral, we apply the power rule directly to integrate\(x^2.\)Again, we evaluate this integral over the limits of integration [-2,2].
After finding the values of both integrals, we subtract the result of the second integral from the result of the first integral to obtain the value of the original integral ∫[-2,2] \((x+3)^4 - x^2 dx.\)
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Find the slope of the line passing through the points (-9, -6) and (-4, 5)
Answer:
-1.4
Step-by-step explanation:
rise over run y2-y1 (top) and x2-x1 (bottom)
Given a function, you can conclude that
for every input there are ___ output(s).
Answer:
one
Step-by-step explanation:
PLEASE HELP!!! VERY EASY MATH EXPLINATION NEEDED!!!
Answer:
18
Step-by-step explanation:
So lets go voer what we know:
There are 6 pieces of ribbon.
Each piece of ribbon is 1 yard long.
We need 1/3 of each ribbon(1/3 yard).
To find this, lets take our 6 pieces of ribbbon, and break them into 3 seperate pieces.
This is because we need ribbons that are 1/3 of a yard. 3 ribbons would make up a single yard.
So:
The 6 yards of ribbon x 3 ribbons that make up 1 yard
6*3
=
18
I hope this makes more sense, and helps you understand better. I can try to explain in a different way if this still doesn't make sense.
I hope this helps! :)
Guys I need help is this right?
Answer:
The answer is C.
Ron is renting an apartment and his landlord just raised his rent.he now pays 1500 and his rent will go up 10%.what will be the new payment
Answer:
it would be 150 more, so 1650
Step-by-step explanation:
divide 1500 by 10 to get 10%
Each side of a checkerboard measures
40 cm. What is the length of its
diagonal?
The length of diagonal of the checkerboard is \(40\sqrt{2} cm\).
The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.
The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,
\(D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm\)
Where D is the length of diagonal and S is the length of side of checkerboard.
Therefore, the length of the diagonal of checkerboard is \(40\sqrt{2} cm\).
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What is the first step to conducting a statistical study?.
The first step to conducting a statistical study is to clearly define the research question or problem.
This involves identifying the population of interest, the variables to be measured, and the hypothesis or objective of the study. Once the research question is clearly defined, the next step is to design the study, including selecting an appropriate sample size, choosing a sampling method, and determining the data collection method.
It is also important to consider potential sources of bias and confounding factors that may impact the study results. Overall, a well-designed statistical study should be able to produce reliable and accurate results that can be used to draw meaningful conclusions about the population of interest.
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