Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxTriangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
Learn more about transformation by reflection on axis:
https://brainly.com/question/15476267
How many solutions does the system have?
2x+3y=−6
3x−4y=−12
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.
There is exactly one solution.
A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?
Answer:
247
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST AND 40 POINTS
Answer:
15. x+6+x+9+x+3=2(x+4+x+1)
3x+18=4x+10
x=8
16. 30x=10x+40
x=2
A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?
9514 1404 393
Answer:
16
Step-by-step explanation:
The values in each row of the table have a total of 45. If Hans plants 29 daisies, he likely will plant ...
45 -29 = 16 . . . snapdragons
__
One can also find the answer by extending the table 2 more rows. Each x entry increases by 1 as each y entry decreases by 1. Then the number of snapdragons listed in the second added row will be 14+2 = 16.
Answer:
x=45-y and 16
Step-by-step explanation:
5<-2t-3 Need steps and the answer
Answer:
t<−4
Step-by-step explanation:
switch sides
-2t-3>5
then add three to both sides:
-2t-3+3>5+3
simplify:
-2t>8
then multiply both sides -1 (reverse the inequality)
(-2t)(-1) <8 (-1\)
simplify:
2t<-8
Divide both sides by 2:
2t/2 <-8/2
Answer:&&&&&&
SOrry dont know buddy
Step-by-step explanation:
Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?
I got you fam 1. (0,3) 2. (3,1)
Answer:
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.
Step-by-step explanation:
the lines don't intersect at all so theres no solutions
Which of the following does not cycle into the atmosphere? a. the carbon cycle b. the phosphorus cycle c. the nitrogen cycle d. the oxygen cycle Please select the best answer from the choices provided A B C D
Answer: b. the phosphorus cycle
Answer:
its B
Step-by-step explanation:
In a lab experiment 2800 bacteria are placed into a petri dish the conditions are such thing as our bacteria able to double every five hours how many bacteria will be there after 19 hours to the nearest whole number
Answer:
39001
Step-by-step explanation:
PLEASE HELPPP IDEK WHEN WE LEARNED THISSS
Answer:
1 in 52 I THINK DONT BE MAD IF ITS WRONG :(
Step-by-step explanation:
Because there are 52 cards in the deck and you need to pull out 1 card so its 1 in 52 chance
Ben is now 3 times as old as his brother Jerry. In 5 years, Ben will be twice as old as Jerry will be then. Find their present ages.
Answer:
30 I am a little confused
ASAP SOMENW HELP ME PLS
Answer:
4.2
Step-by-step explanation:
Ok the points are (-1, 2) and (1, -2)
Put it in the formula
d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]
√18 = 4.2426 ≈ 4.2
Hope this helps ya!!
Micah bought a couch for $450. If he had to pay 7% sales tax, how much total did he pay for the couch?
Answer:
$481.50
Step-by-step explanation:
(7/100)*(450)=31.50
31.50+450=481.50
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
Match the reasons with the statements.
GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms
2. x2 + 8x + 12 = 0 Distributive Postulate
3. (x + 6)(x + 2) = 0 Zero product postulate
4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality
5. x = -6 or x = -2 Given
I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!
Answer:
Concept: Mathematical Derivation
We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positivelyHeather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
Find the area of the rhombus! Please help!
Answer:
100m
Step-by-step explanation:
First, find the area of one triangle. Use l*w/2 to do that.
10*5=50
50/2=25
Multiply this by 4 to get the total area
25*4=100
Have a good day!
which equation best represents the relationship between X and Y in the table
Answer:
y=3x-2
Step-by-step explanation:
Answer:
y =2x -3
Brainiest pls :)
Can You Guys Help Me Plz
Answer:
I'm pretty sure the answer is F
Answer:
IS F
Step-by-step explanation:
I already did this work.
A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.
Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?
Answer:
[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]
Step-by-step explanation:
Average Cost
Making a certain new product costs $300 plus $18 per product.
The total cost for x products is given by:
300 + 18x
To get the average cost, we divide the total cost by the number of products manufactured:
[tex]\displaystyle A=\frac{300+18x}{x}[/tex]
If the manufacturer wants to keep the average cost at $24 or less:
[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]
This is the required inequality
Plz answer quickly will mark brainless
Answer:
652
Step-by-step explanation:
7*18*2=252 for right and left
8*18*2=288 for front and back
7*8*2=112 for top and bottom
252+288+112=652
(can I get brainliest now)
Answer: SA=652 ft^2
Step-by-step explanation:
144(2)+126(2)+56(2)=SA
288+252+112=SA
SA=652 ft^2
this might be wrong btw
4.x + 7y = -23 8x + 5y = -1 using elimination
Answer:
Slope = 39.000/2.000 = 19.500
x-intercept = 1/234 = 0.00427
y-intercept = -1/12 = -0.08333
Step-by-step explanation:
B is between A and C. If AB = 2x + 1, BC = x, and AC = 22. Find AB.
Answer:
15
Step-by-step explanation:
AB + BC = AC
2x + 1 + x = 22
3x + 1 = 22
3x = 22 -1
3x = 21
x = 21/3
x = 7
AB = 2*7 +1
= 14 + 1
= 15
lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)
(tan(x) + cot(x)) / (tan(x) - cot(x)) = (tan²(x) + 1) / (tan²(x) - 1)
… = (sin²(x) + cos²(x)) / (sin²(x) - cos²(x))
… = -1/cos(2x)
Then as x approaches π/2, the limit is -1/cos(2•π/2) = -sec(π) = 1.
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer
Answer:
40/6= 6.6667(20/3)
Step-by-step explanation:
I divided the number of days into 6.
Answer:
[tex]x = 240 days[/tex]
Step-by-step explanation:
If we know that Brad completes 1/6 of his project every 40 days, that means it will take him 40 x 6 days to complete this project. If where to write this down as an equation we get the following.
Let "x" be the total number of days Brad needs to finish his project, then....
[tex]\frac{1}{6} x = 40 days[/tex]
[tex](\frac{1}{6} x)(6) = (40)(6)days[/tex]
[tex]x = 240 days[/tex]
Solve y−4=3x+5y for y.
Answer:
-8y = 3x
Step-by-step explanation:
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
Answer:
200-178=22
22/200*100=2200/200
2200/200=11
11%
Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36
Answer:
36
Step-by-step explanation:
nrly
A student wrote the problem in the box on his homework paper.
Given:6-2(x+7)=10
Step 1: 6-2x+14=10
Step 2:20-2x=10
Step 3:-2x=10
Step 4:x=5
Answer:
fooooot
Step-by-step explanation: