Convert Ø=π/3 to a Cartesian equation.y = x/2y = √3x/2y = √3x
Answers
As per given by the question,
There are given that ,
\(\theta=\frac{\pi}{3}\)Now,
For cartesian form;
Suppose,
\(\frac{y}{x}=\tan (\theta)\)Then,
\(\begin{gathered} \frac{y}{x}=\tan (\theta) \\ y=\tan (\theta)x \end{gathered}\)Now,
Put the value of theeta in above formula,
So,
\(\begin{gathered} y=\tan (\theta)x \\ y=\tan (\frac{\pi}{3})x \\ y=\sqrt[]{3x} \end{gathered}\)Hence, the option C is correct.
Related Questions
Which table represents the ratio 3 rotten apples for each 15 fresh apples?
Answers
Answer:
Ratio is 1:5
Step-by-step explanation:
There is no table btw
A function is defined by f(x)=x/4 What is f(-8)
Answers
Answer:
f(-8) = -2
Step-by-step explanation:
f(x)=x/4
Let x = -8
f(-8)=-8/4
f(-8) = -2
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Answers
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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Which set of angles will be complimentary
Answers
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
Answers
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
ASAP!!!
Find the perimeter of the square
Answers
Answer:
156
Step-by-step explanation:
4x + 3 = 3(2x - 5)
4x + 3 = 6x - 15
3 = 2x - 15
2x = 18
x = 9
4(9) + 3
= 36 + 3
= 39
39 * 4 = 156
Hope it helps!
Answer: 156 inches
Step-by-step explanation:
So we know that all of the sides are equal to each other.
Now we need to know what x equals.
4x + 3 = 3(2x -5)
4x + 3 = 6x - 15
3 = 2x -15
18 = 2x
9 = x
Plug 9 into one of the equations.
4(9) + 3
36 + 3 = 39
39 * 4 = 156
Perimeter = 156 inches
Hope this helps!!! :)
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C(t) = −2t2 + 8t, where the time, t, is hours after injection.
Part A: What are the domain and range of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points)
Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Answers
The domain of the given function is the hours or time taken whereas the range will be the concentration and greatest concentration of the medication that a patient will have in their body is 8 mg/L.
What is Domain of a function?
Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
Therefore, The domain of the given function is the hours or time taken.
What is range of a function?
The collection of potential output values for a function is known as its range.
Therefore, the range of the function is concentration.
B) Graph of the function is attached and we can see from the graph that greatest concentration of the medication that a patient will have in their body is 8 mg/L.
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To make your delicious fruit cake you
need 2 1/4 pounds of fruit. You plan
to make 5 1/2 fruit cakes. How much fruit
do you need?
Answers
Answer:
12 3/8 lb
Step-by-step explanation:
You need 5 1/2 times as much.
5 1/2 * 2 1/4 = 11/2 + 9/4 = 99/8 = 96/8 + 3/8 = 12 3/8
Answer: 12 3/8 lb
Can like someone do this on paper???
It would be helpful is someone awake to do this if so brainlist for that person
Answers
Step-by-step explanation:
Im gonna do that now, I'm not very sure how to do it, but I'll try my best
Given that, for all values of x,
2x^2 – 3x + 21 = a(x - b)^2 + c
find the value of a, the value of b and the value of c.
Answers
Step-by-step explanation:
To find a, the leading coeffiecent of the quadratic is a.
So a is 2.
To find b, we must use the formula
\( - \frac{b}{2a} \)
\( \frac{ - ( - 3)}{2(2)} = \frac{3}{4} \)
So b=3/4.
To find c, plug in 3/4 into the function,
which we get
\(2( \frac{9}{16} ) - 3( \frac{3}{4} ) + 21\)
\( \frac{9}{8} - \frac{9}{4} + 21 = \frac{9}{8} - \frac{18}{8} + 21 = - \frac{9}{8} + 21 = 19.875\)
So c=19.875
What is the radius of C?
Answers
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answers
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Solve for measure of angle a.
55°
a = [?]°
25° ат
![Solve for measure of angle a.55a = [?]25](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/CxjJWzaGBUWoTwV9U4OFAhpLhwGjl7KX.png)
Answers
Check the picture below.
![Solve for measure of angle a.55a = [?]25](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/r7Vl2sCCZI9Ir0qw1EubCc6i2RQyoR8E.png)
What is answer to X/2 - X/5 = 3
Answers
Answer:
x = 10Step-by-step explanation:
What is answer to X/2 - X/5 = 3
x/2 - x/5 = 3
(3/10)x = 3
x = 3 : 3/10
x = 3 * 10/3
x = 10
-------------
check
10/2 - 10/5 = 3
3 = 3
the answer is good
4) Look at this set of 5 numbers: 5 3 5 3 4
By how much would the mean increase if the number 8 replaced one of the 3's in the
set?
Answers
==========================================================
Explanation:
To compute the mean, we first add up the numbers
5+3+5+3+4 = 20
Then divide by 5 since there are 5 numbers in the set
20/5 = 4
The mean is 4.
---------------
Now replace one of the '3's with 8 and recompute the mean
5+8+5+3+4 = 25
25/5 = 5
The mean is now 5.
The old mean in the previous section was 4.
The mean has increased by 1 since 5-4 = 1.
Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.
Answer:
1
Step-by-step explanation:
Mean=Sum of terms/ No.of terms
→5+3+5+3+4/5
20/5=4
If we replace 3 as 8 in one of the place values, Then:5+3+5+8+4/5=25/5
→5
Increment= 5-4=1
THUS, 1 is increased.
THANKYOU
PLEASE MARK ME AS THE BRAINLIEST PLEASE BYE FOR NOW.
Looking for a good study guide whoever gives me the best one will get brainliest You do not need to make it but as long as I think it’s the best one you can get it
Answers
Solve for k, please!
2(k − 5) = 12
Answers
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answers
Answer: 157.19
Step-by-step explanation:
One pint of milk is about 560 ml. Rosa has 3.5 pints of milk. How many litres of milk does rosa have?
Help pls
Answers
What is 789*12+13^2?
Answers
Answer:
9637
Step-by-step explanation:
I hope it helps
Answer:
I'm pretty sure it's 9(8279123
Step-by-step explanation:
have a nice day
Find the sum 5.5+7.25-5.5+(-7.25)
Answers
Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.
1 answer
Missing: 7.25-5.5 7.25)
Step-by-step explanation:
\(5(7)\frac{1}{3} + 6 (7\frac{1}{3} )\)
Answers
![[tex]5(7)\frac{1}{3} + 6 (7\frac{1}{3} )[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/u9RYCRhWnppEjD3WrydY3tROdGj5RvuE.png)
I need help I don’t understand my teacher and I have to find the slope of those
Answers
Answer:
#7:\(y=\frac{4}{7} x-\frac{54}{7}\)
Slope: 4/7
Step-by-step explanation:
First off you need to graph these equation on a graph i recommend using Desmos, it is free you can search it up. After you graph you need to focus on rise/run. this is simple, count how many times you go up before you reach the point diagnolly, then go over however many until you reach the point. Write it in a fraction such as, 2/1, this would be your slope, 2.
I hope this helps!
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
Answers
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answers
Answer:
0.35%
Step-by-step explanation:
Is 17/40 closest to 0/40, 20/40, or 40/40?
Answers
Answer:
20/40
Step-by-step explanation:
If you make them decimals, then 17/40 = .43
0/40= .00 20/40 = .50 40/40 =1.00
so .50 is closest to .43.
Rotation 90° clockwise about the origin
N
O
G
Answers
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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Today's temperature is -9 degrees which is 6 less than five times the temperature yesterday
A) 5x-9=6
B) 5x-6=-9
C) 6-5x=-9
D) -9+5x=-6
Which one?
Answers
1) -9=6 less than 5 times the temperature yesterday
2) -9=6 less than 5x
3) -9=5x-6
4) 5x-6=-9
A. Can the relationship between the price and the number of avacados be described with a constant rate? ExplainB. Can the relationship between the weight and the number of avacodos be described with a constant rate? ExplainI’m confused!
Answers
A. Can the relationship between the price and the number of avacados be described with a constant rate? Explain
The relationship between the number of avocados and their price can be described as a constant rate because there is a direct proportionality between the price and the number of avocados.
\(\begin{gathered} TotalPrice=NumberAvocados\cdot1.25 \\ P=1.25\cdot A \\ P\to Price \\ A_{}\to Avocados \end{gathered}\)To get the value of the ratio we have to find that constant number among all the values in the table, for that we divide the value of the price by the number of avocados, If this value is the same for all values, the ratio is constant:
\(\begin{gathered} \frac{1.25}{1}=1.25 \\ \frac{2.50}{2}=1.25 \\ \frac{3.75}{3}=1.25 \\ \frac{5.0}{4}=1.25 \\ \frac{6.25}{5}=1.25 \end{gathered}\)Then the ratio between the price and the number of avocados is 1.25 and is constant.
B. Can the relationship between the weight and the number of avacodos be described with a constant rate? Explain
Following the explanation of the previous problem, we are going to divide the weight of the avocados by the number of avocados to verify what the ratio is and thus be able to determine if it is constant or not.
\(\begin{gathered} \frac{7}{1}=7 \\ \frac{13}{2}=6.5 \\ \frac{20}{3}=6.66 \\ \frac{26}{4}=6.5 \\ \frac{34}{5}=6.8 \end{gathered}\)As we can see, the ratio for each of the measures is different, this happens because the sizes of the avocados are never the same. For this there cannot be a constant rate
A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group? 60 officers 68 officers 69 officers 70 officers
Answers
Answer:
69 officers
Step-by-step explanation:
If you divide 1242 officers into 18 groups, then you have 69 officers per group.