Answers
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]
Related Questions
Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February that Carlos walk to school
Answers
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that,
Carlos walk to school on the 14th of 20 days in February.
We need to find the equivalent to the fraction of school days in February that Carlos walk to school.
Required percentage is given by :
[tex]\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%[/tex]
or
[tex]=\dfrac{7}{10}[/tex]
So, the required fraction is equal to [tex]\dfrac{7}{10}[/tex].
Find the value of x.
Answers
Answer:
65
Step-by-step explanation:
65+50=115
180-115=65
Find the length of CD
Answers
Explanation: Use the side-splitter theorem and solve.
1) (3/x)=(4.5/(x+6)), cross multiply and solve for x
2) 6x+36=9x
3) x=12
4) Solve for CD
5) (12)+6=18
Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure
Answers
Answer:
D. Closure
Step-by-step explanation:
D. Closure
Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2
Answers
Given:
The parent function is:
[tex]f(x)=2^x[/tex]
The other function is:
[tex]g(x)=2f(x)[/tex]
To find:
The statement that describes a key feature of function g.
Solution:
We have,
[tex]f(x)=2^x[/tex]
[tex]g(x)=2f(x)[/tex]
Using these two functions, we get
[tex]g(x)=2(2)^x[/tex]
Putting [tex]x=0[/tex], we get
[tex]g(x)=2(2)^{(0)}[/tex]
[tex]g(x)=2(1)[/tex]
[tex]g(x)=2[/tex]
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
What is the slope of the line?
Any help?
Answers
Answer:
slope = 1
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
= (1-0)/(4-3)
= 1
Side note: I used the points (3,0) & (4,1)
Answer:
1
Step-by-step explain
firstly find any two point on the line
e.g. (0,-3) and (3,0)
for any straight line
[tex]m=\frac{y'-y}{x'-x}[/tex]
where m is slope, y' x' y x are coordinates of two point (x,y) and (x',y')
in this case, we can use (0,-3) and (3,0)
[tex]m=\frac{0-(-3)}{3-0} =\frac{3}{3} =1[/tex]
Find k if (x+1) 2x^3+kx^2+1
Answers
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?
Answers
Answer: [tex]\sqrt{3}[/tex] x 8 = 13.8564064606
Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ([tex]\sqrt{3}[/tex]). Therefore, square root 3 ([tex]\sqrt{3}[/tex]) is multiplied by the length (8 in our case) of either 6 faces of the cube.
Hope it helped!
Answer:
13.8564064606
What is the value of f(1)?
A. 0
B. 1
C. 2
D. 4
Answers
Answer:
The value of f(1) is A. 0
Step-by-step explanation:
In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0
The answer is A. 0
the graphs of f(x) =-2x and g(x)=(1/2)^z are shown
Answers
Answer:
f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
need help? will get brainlylist
Answers
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer
How do I do this ? no links please
Answers
Hey there!
ASSUMING….
-14.4 = -1.2m
-1.2m = -14.4
DIVIDE -1.2 to BOTH SIDES
-1.2m/-1.2 = -14.4/-1.2
SIMPLIFY IT!
m = -14.4/-1.2
m = 12
Therefore, the answer should be:
m = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please dont put any files or links. answer each equation please.
Answers
Answer:
23 thousandths. = 23 ÷ 10^3
9+4 × (6÷3) > (9+4×6) ÷ 3
5 tens + 2 hundredths. < 50.20
810.6 ÷ 10. = 8.106 × 10
two hundred minus the number two
Answers
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answers
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake
A. 80 square inches
B.60 square inches
C.30 square inches
D. 120 square inches
Answers
Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake
A. 80 square inches
B.60 square inches
C.30 square inches
D. 120 square inches
Answer:
B- 60 square inches
What is the value of the expression below? (4/5+3/5)+3.5x5
Answers
Answer:
18.9
Step-by-step explanation:
Start with parentheses.
4/5 + 3/5 = 7/5
Simplify 7/5, 7/5 = 1 2/5
Next numbers.
3.5 x 5 = 17.5
Add.
17.5 + 1 2/5 = 18.9
The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help
Answers
Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answers
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
someone help me with this
Answers
Which is 1/9
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
Help me emergency please
Answers
I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.
do you happen to know if it's the radius it diameter?
Answer:
Step-by-step explanation:
radius=diameter/2
=11/2
=5.5 mm
circumference=2πr
=2*3.14*5.5
=34.54 mm
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answers
Answer:
Fig. 1 :- 7.6
Fig. 2 :- 15
Step-by-step explanation:
We can use Pythagoras theorem to solve for x
[tex]c^{2} =a^{2} +b^{2}[/tex]
Figure 1:
[tex]c^{2} =7^{2} +3^{2}[/tex]
[tex]c^{2} =49+9[/tex]
[tex]c^{2} =58[/tex]
[tex]c=\sqrt{58}[/tex]
[tex]c=7.615773106[/tex]
You can now round your answer:
[tex]c=7.6[/tex]
Figure 2:
[tex]c^{2} =12^{2} +9^{2}[/tex]
[tex]c^{2} =144+81[/tex]
[tex]c^{2} =225[/tex]
[tex]c=\sqrt{225}[/tex]
[tex]c=15[/tex]
I hope this helps :)
Step-by-step explanation:
fig(1)
h=x
p=3
b=7
now,
h^2=p^2+b^2. (by Pythagoras theory)
or, x^2=3^2+7^2
or, x^2=9+49
or, x^2=58
or, x=√58
fig(2)
h=x
p=12
b=9
now,
h^2=p^2+b^2
or, x^2=12^2+9^2
or, x^2=144+81
or, x^2=225
or, x=15
Middle School teaches 6th, 7th, and 8th grade classes. The sixth grade has 318 students, the 7th has 286 students, and the 8th has 306 students. If the sixth grade takes a field trip and each student needs $3.50, how much total money is needed by the students? $910 c. $1113 b. $3185 d. $1071
Answers
Answer:
$3185
Step-by-step explanation:
Multiply the number of grade 6 students by the money needed ($3.50) and you get 318x3.50=1113
Multiply the number of grade 7 students by the money needed ($3.50) and you get 286x3.50=1001
Multiply the number of grade 8 students by the money needed ($3.50) and you get 306x3.50=1071
Add all the total amounts together and you get $3185
Below are two parallel lines with a third line intersecting them.
Answers
Answer:
56
Step-by-step explanation:
they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56
Imagine that the intelligence test score (M=100, SD =15) is perfectly correlated with SAT score. Your Z score on SAT is +1.0, your intelligence test score is likely to be:
Answers
Answer:
115
Step-by-step explanation:
Given :
Mean of intelligence score = 100
Standard deviation of intelligence score = 15
Since both are perfectly correlated,
The Zscore ON SAT = +1.0
Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right
This means :
Mean + 1 standard deviation
100 + 1*15
= 115
We could use the Zscore formula directly too:
Zscore = (x - mean) / standard deviation
Zscore = +1 ; x = score
Hence, we have
1 = (x - 100) / 15
1 * 15 = x - 100
15 = x- 100
x = 15 + 100
x = 115
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?
Answers
Answer:
336 Peanuts
112 Walnuts
Step-by-step explanation:
So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.
It will look like _ : 224 : _
Next, divide 224 by 2 to get the number of walnuts, the number on the right.
So the number on the right will be 112.
Next, multiply 112 by 3 to get 336.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
Answers
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
Anyone.....................
Answers
Answer:
[tex] \frac{1}{p - q} [/tex]Step-by-step explanation:
[tex] \frac{ {p}^{2} + 2pq + q}{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{ {p}^{2} +2 \times p \times q+ {q}^{2} }{p^2−pq^2+p^2q−q^3} [/tex][tex] \frac{(p + q {)}^{2} }{p^3−pq^2+p^2q−q^3} [/tex][tex] \frac{( p+ q {)}^{2} }{p(p^2−1q^2)+q(p^2−q^2)} [/tex][tex] \frac{ (p + q {)}^{2} }{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{(p+q {)}^{2} }{(p+q)(p−q)(p+q)} [/tex][tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)
[tex] \frac{1}{p - q} [/tex]Hope it is helpful...what is a kite? what are its properties? what is its use in our daily life?
Answers
Answer:
Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string
A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.
