To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, divide both sides of the equation by tan(x) and then take the inverse tangent of both sides. The solutions for x are 30°, 210°, 390°, ...
Explanation:To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, we can start by rearranging the equation. Divide both sides of the equation by tan(x) to get:
3tan(x) = sqrt3
Next, divide both sides of the equation by 3 to get:
tan(x) = sqrt3/3
Now, we need to find the values of x where the tangent function equals sqrt3/3. We can use the inverse tangent function to find the angles. Taking the inverse tangent of both sides gives:
x = arctan(sqrt3/3)
Then, we can simplify the expression:
x = 30° + n * 180°
where n is an integer. Therefore, the solutions for x are 30°, 210°, 390°, ...
Learn more about Solving equations here:https://brainly.com/question/14410653
#SPJ12
Simplify (write without the absolute value sign):
x+3, if x>2
Answer:
X+3 , if x>2
>2 is 3,4,5,6,,,extra
4+3 = 7
So , x>2
7>2
Step-by-step explanation:
Answer:
i dont know what it is
Step-by-step explanation:
LOL
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh
Truthfully, this is tough to type over a computer but, let me see if I can guide you through doing it.
Method: Starting from the very center of the graph, move according to the coordinates, using (x, y)
- X is your horizontal axis.
- Y is your vertical axis.
Concept of Understanding Negatives and Positives:
A positive X, will mean it goes to the right.
A positive Y, will mean it goes up.
A negative X, will mean it goes to the left.
A negative Y, will mean it goes down.
Apply!
- From the center, "A (-2 , -1)" will translate to "go left two spaces, and go down by one". Plot the point.
- From the center, "B (-3 , -1)" will translate to "go left three spaces, and go down by one". Plot the point.
- From the center, "C (3 , 3)" will translate to "go right three spaces, and go up by thjree". Plot the point.
- From the center, "B (-2 , 3)" will translate to "go left two spaces, and go up by three". Plot the point.
CONNECT THE LINES! :D
Next, let's find the area of that shape!
Area = Base×Height
In this case, 4×1, because the height is 4 boxes, and it's 1 box for it's base.
Answer:
Answer is 4X1, PLEASE GIVE ME BRAINLIEST
Step-by-step explanation:
2
Given that sin 8 =
and gº
C.
1
IN NI
d
0
Answer:
It seems like there might be a bit of a mix-up or incomplete information in your question. "sin 8 =" appears to be incomplete, and "gº C." is not clear in the context provided. If you have a specific question or need assistance with a math or physics concept, please provide more details, and I'll be happy to help.
Step-by-step explanation:
The given sine value of 2/1 is not possible as the sine of an angle cannot exceed 1 or be less than -1. It seems there's an error in your question and incomplete information prevents a comprehensive answer.
Explanation:Given that the sin 8 = 2/1, it's important to note that in a range of -1 and 1, the sine of an angle cannot be greater than 1 or less than -1. Therefore, there's an error in your original question. Also, the second part of your question seems to be cut off (gº C. 1 IN NI). There seems to be no apparent relation to the sine function, and without a clear follow-up question or further information, I couldn't provide an accurate answer for it. Please revise your question and provide additional information if necessary.
Learn more about Sine Function here:https://brainly.com/question/12015707
#SPJ1
Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the y-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation? *
(x, y) --> (-x , y)
(x, y) --> (x , y + 8)
(x, y) --> (-y , x)
(x, y) --> (x , -y)
Answer: (x, y) —> (-x, y)
Step-by-step explanation:
This is because the translation rule for reflection across the y-axis is (x, y) —> (-x, y)
(x, y) --> (-x , y)
Step-by-step explanation:
When reflecting across the y-axis, you will want to switch the sign of the x-coordinate. If the x-coordinate is positive, you will want to switch it to negative and vice versa.
Examples:
(3,5) --> (-3,5)
(-6,-2) --> (6,-2)
~
If you are going to reflect across the x-axis, you will change the y-coordinate, so it is the opposite of reflecting across the y-axis.
Look at this check register. Calculate the current balance.
A check register has a balance of 82 dollars and 92 cents. 78 dollars and 24 cents is debited for a phone bill. 125 dollars is deposited for a pay check. 40 dollars is debited from the A T M. 56 dollars and 50 cents is debited for tennis lessons.
The current balance is $
.
Answer:
$33.18
Step-by-step explanation:
$33.18 is the answer because...
Step one first we have the money in the cash register of $82.92. Unfortunately she has to pay a phone bill of $78.24 so we subtract 82.92 and 78.24 which leaves the person with $4.68.Step two so she has $4.68 but now she gets an outstanding $125 paycheck. So we add $4.68 and $125 to get $129.68 as her new balance.Now the person's balance is $129.68 it says in the question she debited $40 from the ATM. So we subtract $129.68 and $40 to get $89.68.Step four she also had to pay $56.50 for the persons tennis lessons so we subtract $89.68 and $56.50 to get our final answer of $33.18Hope this helped :)The current balance is calculated by starting with the initial balance of $82.92 and then subtracting debits and adding credits from various transactions. After all adjustments, the current account balance is $33.18.
To calculate the current balance, we'll start with the first number under Balance and adjust it based on the recorded transactions.
Start with the initial balance: $82.92
Subtract the debit for the phone bill: $82.92 - $78.24 = $4.68
Add the deposit from the paycheck: $4.68 + $125.00 = $129.68
Subtract the ATM debit: $129.68 - $40.00 = $89.68
Finally, subtract the debit for tennis lessons: $89.68 - $56.50 = $33.18
Therefore, the current balance is $33.18.
Learn more about Calculating Balance here:
https://brainly.com/question/34671587
#SPJ3
The model represents a perfect square monomial.
*72
+
+42
What equation is represented by the model?
(2x)2 = 4x2
(2x2)2 = 4x4
(4x)2 = 8x2
(4x2)2 = 8x8
Answer:
The answer is A
Step-by-step explanation:
(2x)^2 = 4x^2
Which person is more likely to have more wealth upon retirement?
A-a person who has invested 5 percent of their income into a stock portfolio beginning at age 50
B-a professional who bought some of their company’s stock beginning at age 30
C-a person who has invested 5 percent of their income into an equity mutual fund beginning at age 22
D-a person who has invested 5 percent of their income into government bonds beginning at age 22
Answer:
c
Step-by-step explanation:
n...
Select the best answer for the question
13. Which of the following is an example of a proper fraction?
.
O A. 4
O B.76
O c. 4/4
O D.43
eh...
On a certain hot summer's day, 163 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.50 for adults. The receipts for admission totaled $ 312.50 . How many children and how many adults swam at the public pool that day?
Answer: 95 children, 68 adults
Step-by-step explanation:
Let the number of children be y
Let the number of adults be z
The following equation can be gotten from the question:
y + z = 163 ...... equation i
1.5y + 2.5z = 312.5 ....... equation ii
Multiply equation I by 1.5
Multiply equation ii by 1
1.5y + 1.5z = 244.5 ......... equation iii
1.5y + 2.5z = 312.5 ........ equation iv
Then subtract equation iv from iii
-z = -68
z = 68
From equation I
y + z = 163
y = 163 - 68
= 95
95 children and 68 adults swam.
URGENT!!! Which is a y-intercept of the graphed function?
(-9, 0)
(-3, 0)
(0, -9)
(0, -3)
The y-intercept is where the graph goes through the y-axis (the vertical line in the center). It goes through at y=-9, so the coordinates would be (0,-9), since it is (x,y).
Answer:
The y-intercept is (0, -9)
Step-by-step explanation:
Need help ASAP please
Adding a value at the end shifts the graph up that number of units.
The answer is C.
Identify the least and greatest value in each set.
1. 34, 62, 45, 35, 75, 23, 35, 65 23, 75
Answer:
Least; 23. Greatest; 75
Hope this helped.
choose the scenario that could be represented by 3/4
a - three friends share four apples equally
b - A four hour trip is the wedding into three equal legs C - four people share three desserts equally
D - 4 pounds of oats I divide it equally among three horses
Answer:
C
Step-by-step explanation:
A,B,D all divide 4 by 3
Answer: 'C'
Step-by-step explanation:
Classes start at 8:30 a.m. at Lee's school. It takes him 15 minutes to ride his bike to school, but he likes to arrive 20 minutes early. What time should he leave home?
Answer:
maybe 7:55
Step-by-step explanation:
if he leaves at 7:55 then he gets to school at 8:10 which he is 20 minutes early for school
Answer:
7:55 a.m.
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Roger and Evelyn decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Roger went first and landed 2 arrows in the outer ring and 5 arrows in the bull's-eye, for a total of 416 points. Evelyn went second and got 2 arrows in the outer ring and 1 arrow in the bull's-eye, earning a total of 112 points. How many points is each region of the target worth?
The outer ring is worth __ points, and the bull's-eye is worth __ points.
Answer:
outer region= 18pts, bulls eye=76pts
Step-by-step explanation:
its a system of equations
MATH HELP !50 POINTS! PLEASE
Answer:
c 17 sorry if i got it wrong but thats what i got
Answer:
b) 19
Step-by-step explanation:
I took the price of the meat per pound and multiplied it by the amount the customer was purchasing.
I repeated that for each meat. I added my products together. My sum was $18.965, or about $19
I hope this makes sense :)
Identify the correct formula for the following sequence. 2, -4, -10, -16, -22, ...
A. an = 6n - 8
B. an = -8n + 6
C. an = 8n - 6
D. an = -6n + 8
Answer:
D
Step-by-step explanation:
The terms in the sequence have a common difference d between consecutive terms, that is
d = - 4 - 2 = - 10 - ( - 4) = - 16 - (- 10) = - 22 - (- 16) = - 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 6, thus
[tex]a_{n}[/tex] = 2 - 6(n - 1) = 2 - 6n + 6 = - 6n + 8 → D
l What are the 1st 4 terms of the sequence defined by the following equation AN equals 5 × 2 in -1
The value of a car depreciates every two years. The value of the car after t years is shown by the following expression. Which best describes the coefficient, 25,250? A. the number of times the value of the car depreciated from the original value B. the decrease in the value of the car every two years C. the rate at which the value of the car is decreasing D. the initial value of the car
Answer:
A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If a box of 100 pencils cost $4.75, what should you expect to pay for 225 pencils?
Answer:
$ 10.69
Step-by-step explanation:
225 is 2.25 times the 100 pencils. ( 225/100) So all you have to do is multiply 2.25 the price ($4.75) and you get 10.6875, money can only go to the tenth place so you round it to $10.69
Hope this helped and pls mark as brainliest!
~Luna
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 82? 85, 90, 79, 72
Answer:
84
Step-by-step explanation:
Because average is basically the mean, so i used a mean calculator and put in the four grades (numbers) and got an average of 81.5, so then i kept putting an additional other number in and wasn't getting 82, until i put in 84 and all of those numbers together gave me an average of 82.
Answer:
84
Step-by-step explanation:
The average is found by adding all the scores together and dividing by the number of scores
Let the unknown score be x
(85+90+79+72+x) /5 = 82
Multiply each side by 5
(85+90+79+72+x) /5*5 = 82*5
(85+90+79+72+x) = 410
Combine like terms
326+x = 410
Subtract 326 from each side
326+x-326 = 410 -326
x =84
Write the equation of the circle. A with a center A(-4,-3) and radius 5
Answer:
(x+4)^2 + (y+3)^2 = 5^2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
now substitute the known values
(x+4)^2 + (y+3)^2 = 5^2
and theres your equation
Is y=x a proportional linear equation
Answer: yes.
Step-by-step explanation:
Can you answer these questions? Im doing them on my own but I need to check if they're right
Answer:
I got you.
Step-by-step explanation:
1. If x=5, whats (10x-5)+30:
First, (10x-5)
50-5=45
45+30=75
10x-5+30=75.
2.Inverse operations: 10+5 inverses 10-5, 10*5 inverses 10/5
3. I do: For example: 10x-5=60
Then, you would divide: 60/10 and 10/10
We need to isolate the variable: x-5=6
Leaving x to be 11.
4. That is a hard one but, for an equation to have no solution is that it is impossible to answer or just doesn't have an answer. And for an equation to have infinite solutions it means that it has more than one answer... Infinitely.
5. Using the distributive property for simplify: The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 • 3 • (2 + 4) = 3 • 6 = 18.
Given PQ | | ST
Triangle P Q R. Side P Q is 16 kilometers and side P R is 24 kilometers. Triangle S R T. Side R T is 33 kilometers.
What is the distance of Line S T?
7 km
StartFraction 128 Over 11 EndFraction km
22 km
49.5 km
The answer is C = 22km
Final answer:
To determine the distance of line ST, we use the fact that triangles PQR and SRT are similar, which allows us to set up a proportion with the given side lengths. Solving this proportion reveals that the length of ST is 22 kilometers.
Explanation:
To find the distance of line ST, we need to recognize that if lines PQ and ST are parallel (PQ | | ST) and we are given the lengths of the sides PQ and PR in triangle PQR and side RT in triangle SRT, we can infer that triangles PQR and SRT are similar by the Angle-Side-Angle (ASA) postulate since they share angle P (or R in triangle SRT) and have proportional corresponding sides.
Using the lengths PQ = 16 kilometers and PR = 24 kilometers from triangle PQR and RT = 33 kilometers from triangle SRT, we can set up a proportion to solve for the unknown length ST.
The proportion based on the similarity of triangles is:
PQ/PR = ST/RT
Substituting the given values, we get:
16/24 = ST/33
Solving for ST, we multiply both sides by 33:
ST = 33 * (16/24) = 22 kilometers.
Therefore, the distance of line ST is 22 kilometers.
What number is 110% of 150?
Answer:
165
Step-by-step explanation:
convert 110% to decimal, which is 1.1 by moving two places to the left. of means multiply so multiply 1.1 and 150 to get your answer!
Answer: 165.
Step-by-step explanation:
[tex]5x + 3x = 2 + 5 - 3x[/tex]
solve for x
Answer:
[tex]x = \frac{7}{11} [/tex]
Step-by-step explanation:
[tex]5x + 3x = 2 + 5 - 3x \\ 8x = 7 - 3x \\ 11x = 7 \\ x = \frac{7}{11} [/tex]
What operation should you perform first when you evaluate the expression 85+(9−25×5)÷3
46.33
fdsgsdgsdgsdgdsgsdgsdg
Answer:
Follow the rules of PEMDAS, so start with whats in the ()
Step-by-step explanation:
1. Multiply 25x5
2. Then subtract 9-125=-116
3. The -116÷3
4. Add 85
5. Answer 46.33 or 139/3Hope this helps!!!Which is the angle of elevation from Kelley to the top of the waterfall? ∠7 ∠5 ∠8 ∠6
Answer:
∠6
Step-by-step explanation:
The angle of elevation is the angle between an horizontal line and the line from the object to the observers eyes. The line from the object is above the horizontal line. The angle of elevation denotes the angle from the horizontal upward.
The first picture below is where your question emanated .The second picture describes the angle of elevation. The angle of elevation from kelley to the top of the waterfall is ∠6.
Graph the equation
y=2(x+1)(x-1)
To graph the equation y = 2(x+1)(x-1), we can start by finding the x-intercepts and y-intercept of the equation.
To find the x-intercepts, we set y = 0 and solve for x:
0 = 2(x+1)(x-1)
0 = 2(x^2 - 1)
0 = 2(x+1)(x-1)
So, the x-intercepts are -1 and 1.
To find the y-intercept, we set x = 0 and solve for y:
y = 2(0+1)(0-1)
y = -2
So, the y-intercept is -2.
Now, we can plot the intercepts on the coordinate plane and sketch the graph of the equation. Since the equation is a quadratic function, the graph will be a parabola.
The x-intercepts are -1 and 1, so we can plot these points on the x-axis. The y-intercept is -2, so we can plot this point on the y-axis.
Next, we can plot a few additional points to help us sketch the graph. For example, we can choose x = -2, -0.5, 0.5, and 2, and find the corresponding y-values:
When x = -2, y = 2(-2+1)(-2-1) = 6
When x = -0.5, y = 2(-0.5+1)(-0.5-1) = 1.5
When x = 0.5, y = 2(0.5+1)(0.5-1) = -1.5
When x = 2, y = 2(2+1)(2-1) = 6
Now, we can plot these points and sketch the graph of the equation, which is a parabola that opens upwards and passes through the points (-2, 6), (-1, 0), (0, -2), (1, 0), and (2, 6).
The graph of the equation y = 2(x+1)(x-1) is shown below:
Graph of y = 2(x+1)(x-1)
Therefore, this is the graph of the equation y = 2(x+1)(x-1).
Here are the numbers on a table that shows student's scores for 10 rounds of a video game.
130,150,120,170,130, 120, 160, 160, 190, 140
What is the median score?
A-125
B-145
C-147
D-150
Answer:
B-145
Step-by-step explanation:
120-190 is the spread in the middle is 145
Answer:
B- 145
Step-by-step explanation:
hoped this helped!