Given:
[tex]\cot \theta = -2[/tex]
To find:
The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].
Solution:
We know that,
[tex]\cot (\theta -n\pi)=\cot \theta[/tex] ...(i)
Where n is an integer.
We have,
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]
Using (i), it can be written as
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]
It is given that [tex]\cot \theta = -2[/tex].
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]
Therefore, the value of the given function expression is [tex]-6[/tex].
Given the equation y=3(2)* + 2, what is the value of y when x = 4?
A. 8
B. 50
C. 256
D. 770
Answer: It will be 50
Step-by-step explanation:
can i get factors of 256
Step-by-step explanation:
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Hope it will help :)❤
Here the answer hope this helps:
factors of 256 are.... 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Step-by-step explanation:
hope this helps
Translate the sentence into an inequality.
A number increased by 2 is greater than or equal to 19.
Answer:
X + 2 [tex]\geq \\[/tex] 19
Step-by-step explanation:
a number ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.
please give me the answer.
(08.01)
Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge,
strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
Answer:
A
Step-by-step explanation:
njsusnhshbwhjkahbkans
Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.
inscribed in the circle
circumscribed about the circle
neither
The correct answer is neither
What is the soultion: 1/2x + 3/2 (x + 1) - 1/4 = 5? A. 5/2 B. 13/8 C. 15/8 D. 17/8
Answer:
C. 15/8 is the correct answer and the mixed form would be 1 7/8
Step-by-step explanation:
Question 5 of 10
A 90% confidence interval is found to be (32, 48). What is the margin of error?
A. 14.4
B. 7.2
C. 8
D. 16
SUBMIT
Answer:
Your correct answer is C. 8
Step-by-step explanation:
I have taken this test just recently and I can assure you that it is the correct answer.
which shape best describes the cross section cut at an angle to the base of a right rectangular prism
Answer:
Parallelogram
Step-by-step explanation:
sorry if it's wrong
I can't seem to factor out this equation.
40x squared -46x +12
Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for pi, what is the approximate area of the lawn, in square feet, the dog could reach from the stake.
The dog is able to run around in a circle with a radius of9 ft.
The area of a circle is A = pi r^2
A = (3.14) (9)^2
A= (3.14)(81)
A= 254.34 sq ft
15 points!!!
Write an
equation of the parabola shown.
Answer:
Step-by-step explanation:
in ABC, what is the value of x?
Answer:
x = 16.2
Step-by-step explanation:
5/9 = 9/x
5x = 81
x = 16.2
A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?
Answer:
Step-by-step explanation:
7,000 × 1.04¹³ = 11,656
y varies directly as x.x= 1/2 and y= 5/4. Find x when y= 10.
x= ?
Answer:
X=4Step-by-step explanation:
x=1/2=2/4
y=5/4
y=2.5x
10/2.5=4
so x=4
Please answer this question!!! Thank you!
Answer:
your answer is b
Step-by-step explanation:
geometry: find the value of x. Round to the nearest tenth. How do I do this? screenshot attached
Answer:
[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]
Step-by-step explanation:
To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentIf we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).
[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]
[tex]cos(70)=\frac{36}{x}[/tex]
Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).
[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]
[tex]cos(70)*x= 36[/tex]
Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.
[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]
Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.
[tex]x \approx 105.3[/tex]
x is about 105.3
Which set of measurements would not create a triangle?
A. 9 in., 8 in., 16 in.
B. 11 in., 12 in., 22 in.
C. 14 in., 6 in., 20 in.
D. 3 in., 8 in., 6 in.
Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.
Answer:
30
Step-by-step explanation:
b×h
6×5=30
gggffcguhh
Someone help please?
Answer:
x - 6 = 3x
Step-by-step explanation:
I think please wait for more responses if needed, I showed how to make them equal, what x equals.
two questions please help
I need help please A. The relationship is linear because each Y-value is two more than the value before. B. The relationship is linear because each y-value is two times the value before it. C. The relationship is exponential because each y-value is two more than the value before it. D. The relationship is exponential because each y-value is two times the value before it.
Answer:
D) the relationship is exponential because each y-value is two times the value before
Step-by-step explanation:
A and B are out because this graph is not a linear graph. D is out because that explanation represents a linear graph. An exponential equation will always multiply the value before it, not add.
The following integers are listed in order from greatest to least. 10, 7, -3, -7
Answer:
true
Step-by-step explanation:
negative numbers are smaller than positives and bigger negative numbers like -7 are lower than smaller negative numbers like -3
I really need help! will give brainliest!!
Factor the following expression, and verify that the factored expression is equivalent to the original
16x²-8x-3
Answer:
Final answer
(4X+1)(4X-3)
The pie chart below represents the vehicle types owned by families. If the total number of people surveyed is 1000, approximately how many own a van?
Answer:
500 families
Step-by-step explanation:
We want to estimate the size of the dark blue section of the chart. The chart looks like the left of the pie chart is split evenly with the dark blue section. So we estimate that each of those must represent 12 or 50% of the total number of families. Therefore,
0.50⋅1000=500
About 500 families own a van.
PLEAS HELP
The measures 2^3 , 4, and 2^7 create a right triangle.
True
false
Answer: true
Step-by-step explanation: they are all equivalent
Answer:
False
Step-by-step explanation:
Penelope is going to invest $23,000 and leave it in an account for 11 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Penelope to end up with $41,000?
Answer:
5.3%
Step-by-step explanation: answer fo
r delta math
Can someone help me with this question please :) (University)
Answer:
(-5 1 0 0) and (-3 0 1 0)
Step-by-step explanation:
Based on my memory, you can use the dot product to find orthogonality meaning
u1 . u2 = 0
In this case, we let u be the arbitrary vector represented by (x y z w)
u . (1 5 3 0) can be expressed as an equation given by:
{(x y z w) | x + 5y + 3z + 0w= 0}
We solve this equation letting y = s and z = t and x = -5s -3t
Reconstruct this according to their variable will give
(-5 1 0 0)s + (-3 0 1 0)t = 0
So the basis vectors are (-5 1 0 0) and (-3 0 1 0).
Let c1 and c2 be arbitrary constants:
if you solve for c1(-5 1 0 0) + c2(-3 0 1 0) = 0
c1 and c2 should have only trivial solution, which proves its
linear independence and so it forms a basis vector space.
Is the following graph exponential? Explain how you know.
Answer:
no
Step-by-step explanation:
the graph provided on the picture is y=x². It is visible, when the value of 'x' isdecreasing, the values of the function 'y' is increasing. If the function provided is exponential, then the values of the function 'y' is decreasing also.