Looks like the claim is
(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
as well as the definition of tangent:
tan(x) = sin(x) / cos(x)
Then on the left side, we can cancel factors of 2 sin(x) to get
(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))
= (1/cos(x) - cos(x)) / sin(x)
Multiply this by cos(x)/cos(x) :
(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))
Recall that for all x,
sin²(x) + cos²(x) = 1
so that
(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))
= sin(x) / cos(x)
= tan(x)
as required.
What is X when 19,695 divided by X-15,605 = 100
Step-by-step explanation:
[tex] \frac{19695}{x - 15605} = 100[/tex]
[tex]19695 = 100(x - 15605)[/tex]
[tex]19695 = 100x - 1560500[/tex]
[tex]19695 + 1560500 = 100x[/tex]
[tex]15801 95 = 100x[/tex]
[tex] \frac{1580195}{100} = x[/tex]
[tex]x = 15801.95[/tex]
Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.
Answer:
x = - 9, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-7+2y[/tex]
[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]
[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-7+2y[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=-7+2\left(-1\right)[/tex]
[tex]x=-9[/tex]
[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]
[RevyBreeze]
Answer:
x = -9, y = -1
Step-by-step explanation:
Solution:
If x = -7+2y
Then
-3(-7+2y)-2y=29
Simplify
21 - 8y = 29
And if x = -7+2y
Simplify
y = -1
x = -7+2(-1)
x = -9
Hence, x = -9 and y = -1
~lenvy~
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
Answer:
B. 149Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
46 = 1/2(x - 57)x - 57 = 46*2x = 57 + 92x = 149Correct choice is B
Let that be m
2(46)=m-5792=m-57m=92+57m=149option B
Question 1 of 10
The discriminant of a quadratic equation is negative. One solution is 2 +31.
What is the other solution?
O A. 3-2,
O B. 2-31
O c. 3+27
3
O D. -2+31
Answer:
2-31 your welcome answer is B.
Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)
Answer:
334 hope this helps
Step-by-step explanation:
8 × 6 = 48 -5 =43 ×8 =334
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 - 40
= 8
OR
8(6 - 5)
= 8(1)
= 8
OR EVEN
(8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Therefore, your answer should be:
(8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A firm pays $52 for a car seat and wants a 34% markup for operating expenses as well as a 6% markup for profit. However, customers think the car seats are ugly, so they are not selling. Management reduces the price of each car seat by $25 to get rid of them.
Find (a) the selling price,
(b) the reduced price,
(c) the percent of markdown,
and (d) any operating or absolute loss.
Answer:
See belowStep-by-step explanation:
Initial cost = $52
Markup for operting expences = 34%
$52 + 34% = $52*1.34 = $69.68Markup for profit = 6%
69.68 + 6% = 69.68*1.06 = 73.86 (rounded)a) The selling price is $73.86
b) The reduced price is:
$73.86 - $25 = $48.86c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)d) The absolute loss:
$69.68 - $48.86 = $20.82What is the simplified form of V10,000 ,
100x³²
..................
Ver en español
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.
What is a box plot?It is a plot that focuses the interquartile range of the population, that is, it gives:
The first quartile.The median.The third quartile.In this problem, they are given as follows:
The first quartile is of 175.The median is of 200.The third quartile is of 250.Hence, 50% of the books had 200 or fewer pages.
More can be learned about box plots at https://brainly.com/question/14277132
A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.
Convert 192 cups to gallons. Enter your answers in the boxes.
Answer: 12 gallons.
Step-by-step explanation: It takes 4 cups to make 1 quart. It takes 4 quarts to make a gallon. If you do the calculations, it takes 16 cups in total to make 1 gallon. By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.
Let me know if this is right! :)
Factor 100xy+75xyz
Please help!
Answer:
25xy(4+3z)
Step-by-step explanation:
identify common factors
25xy*4+3z*25xy
group common factors
25xy(4+3z)
he conic section below is
x
a. a circle
b. an ellipse
C. a parabola
d. a hyperbola
e. a degenerate
Enter
Answer: Degenerate
Step-by-step explanation:
This conic section (intersecting lines) is a degenerate
The conic section is degenerate.
The correct option is (e).
What is Conic?Any curve produced by the intersection of a plane and a right circular cone.
As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Hence, the conic section is degenerate.
Learn more about conic here:
https://brainly.com/question/26909560
#SPJ2
Find the value of x.
44°
76°
to
Answer:
120°
Step-by-step explanation:
sum of angles on adjacent sides= exterior angle
x= 76+44 = 120
The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .
Solution : -Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :
44° + 76° + y° = 180°120° + y° = 180°y° = 180° - 120°y° = 60°Therefore , value of angle y is 60° .
Now , we are finding the value of x :
As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :
60° + x° = 180°x° = 180° - 60°x° = 120°Therefore, value of angle x is 120° .
# [tex] \sf{ \bold{Keep \: Learning}}[/tex]What is the estimated temperature if the dissolved salt is 98g?
54
61
161
171
Ths solubility curve is used to show the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
Help picture below problem 18 will give brainlest
Answer:
c²=a²+b².
Step-by-step explanation:
28²=17²+b² 766=289+b². -b²=289-766. b²=√475
In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)
Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)
The LSRL is the Least Squares Regression Line of the new engine design performance
The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679How to determine the LSRL?This is the equation of the Least Squares Regression Line.
From the calculation summary, we have the following parameters:
Coefficient of constant = 11.6559Coefficient of Weight = 3.47812So, the LSRL is:
y = 11.6559 + 3.47812x
Where y represents the predicted volume and x represents the weight.
The predicted value when the weight is 100 tonsIn (a), we have:
y = 11.6559 + 3.47812x
Substitute 100 for x
y = 11.6559 + 3.47812 * 100
Evaluate
y = 359.4679
Hence, the predicted top speed when the weight is 100 tons is 359.4679
Read more about Least Squares Regression Line at:
https://brainly.com/question/24848242
urgent i've tried numerous times but i've been unable to factor it
Answer:
[tex](2c+a+3b)(2c-a-3b)[/tex]
Step-by-step explanation:
Given expression: [tex]4c^2-a^2-6ab-9b^2[/tex]
Factor [tex]-a^2-6ab-9b^2[/tex]
[tex]\implies -(a^2+6ab+9b^2)[/tex]
[tex]\implies -(a+3b)(a+3b)[/tex]
[tex]\implies -(a+3b)^2[/tex]
Factor [tex]4c^2[/tex]
[tex]\implies(2c)(2c)[/tex]
[tex]\implies (2c)^2[/tex]
Therefore,
[tex](2c)^2-(a+3b)^2[/tex]
Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]
[tex]x^2=(2c)^2\implies x=2c[/tex]
[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]
Therefore,
[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]
[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]
Answer:
(2c - a + 3b)(2c + a + 3b)
Step-by-step explanation:
4c² - a² - 6ab - 9b²
= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )
= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
= (2c)² - (a + 3b)²
= (2c - (a + 3b) )(2c + (a + 3b) )
= (2c - a - 3b)(2c + a + 3b)
What is the volume of the prism? __ in.³.
Answer:
volume is 20^3 inches i hope i helped
(mark brainliest)
Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA =
Answer:
Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve
8 + X = 14 what does X equal to?
Answer:
x=6
Step-by-step explanation:
Rearrange terms:
8+x=14
x+8=14
Subtract 8 from both sides and simplify.
Given :-
8 + X = 14To find :-
The value of XSolution :-
8+x = 14
Transferring 8 to Right sidex = 14-8 (Signs change when transferred to opposite side)
x = 6
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)
Answer:
it would be B because of the lang it and work
HELP PLEASE!!!
Worth 1 point
Giving 30!!
PLS HELP
I'LL GIVE BRAINLEIST IF CORRECT!!
Answer:
^EKF and^HKI
Step-by-step explanation:
Because they are vertically opposite angles3/4 x (z^3 x 4) answer
Answer:
[tex]3z {}^{3} \times 12[/tex]
[tex]36z {}^{3} [/tex]
Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132
Answer:
Step-by-step explanation:
This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.
36 liters.
36 km/3 Liters = x / 36 multiply both sides by 36
36*36 / 3 = x
1296/3 = x
x = 432 km
So on 36 L he can go 432 km
3 liters
Given as 36 km
48 liters
36km/3 liters = x / 48 liters Multiply both sides by 48
48*36/3 = x
576 km = x
So on 48 liters, he can go 576 km
132 liters
36 km/ 3 liters = x/132
x = 1564 km
On 132 liters Pat can go 1564 km
Simplify.
Rewrite the expression in the form a”.
(a”)? = 1
Please needhelp urgently
Answer:
just randomly write a¹⁰
) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>
Answer:
600in³
Step-by-step explanation:
the equation for volume is:
V=s*3
(s is a varible which means LengthxHeightxWidth)
step 1
V= (10")(5")(12")
then it equals your answer
up above is the answer.
Hope it help you out.
Don't forget to label.
A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%
Answer:
65%
Step-by-step explanation:
We need to divide to solve this :)
13/20 = 0.65
Now we multiply :)
0.65 x 100 = 65%
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
D. 65%
Step-by-step explanation:
the Number of red marbles is 13
The total number of marbles is 13 + 7 = 20
Then
the percentage of red marbles is :
[tex]\frac{13}{20} \times 100[/tex]
[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]
Which of the following is formula that represents The Pythagorean
Theorem?
Look at the diagram for the answer
Hope that helps!
answer with explanation please
Answer:
D. x>5
Step-by-step explanation:
[tex]3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5[/tex]