I need help!! I will give 5.0 star
So, here we need to differentiate tan³[tex](\theta)[/tex], wr.t.[tex]\theta[/tex], but let's recall some identities which will be very useful in this question :
[tex]{\boxed{\bf{\dfrac{d}{dx}\{\tan (x)\}=\sec^{2}(x)}}}[/tex][tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex][tex]{\boxed{\bf{\sec^{2}(\theta)=\tan^{2}(\theta)+1}}}[/tex]Coming back on the question, consider :
[tex]{:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}[/tex]
Using the identity ;
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}[/tex]
[tex]{:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}[/tex]
[tex]{:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}[/tex]
Hence, Proved
What is the rule for the sequence 600,300,150,75
Answer:
y=x/2
Step-by-step explanation:
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a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?
I don't know the answer so help
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
UW = 97 cm
Step-by-step explanation:
UW is congruent to VX and VX is 97 cm so UW would be 97 cm
Answer:
97
Step-by-step explanation:
As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.
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Sycamore Elementary
School has 998 students.
Sycamore Elementary
School has 562 students less
than Cedar Middle. If C is the
number of students at Cedar
Middle School, which equation
could be used to find how
many students are at Cedar
Middle School?
a. 998-C = 562
b. 562-C = 998
C. 998 +562 = C
d. 562 +C = 998
Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,
Step-by-step explanation:
cos 0=5/13. B/H
p=√h2 - b2
= √13 square -5 square
=√169 -25
=√144
=12 Ans
Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12
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HELP PLEASE PYTHAGOREAN THEOREM
Which of the following is equivalent to (x + 1)^2 ?
x2 + 2x + 1
x2 + 1x + 1
x2 + 1
x2 + 1x
Answer:
x^2 +2x +1
Step-by-step explanation:
(x+1)^2
=(x+1)(x+1)
= x×x+x×1+1×x+1×1
=x^2+x+x+1
=x^2+2x+1
*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet
Answer:
V = 80
Step-by-step explanation:
V = lwh
V = 8(5)(2)
V = 40(2)
V= 80
What’s 8.4 cm converted to in.
Answer:
3.30709
Step-by-step explanation:
FORMULA :
divide the length value by 2.54
8.4 ÷ 2.54
= 3.30709
Where can parentheses be placed to make 6+2³-4×3 value 500
~Denki Kaminari here~
6 + 2³ - 4 × 3 = 500
The parentheses will most likely go before the exponent because that will raise your number up higher.
(6 + 2)³ - 4 × 3 = 500
(8)³ - 4 × 3 = 500
512 - 12 = 500
500 = 500
So the parentheses will go around the (6 + 2).
hope this helps :D
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• Los médicos pueden recetar los mismos medicamentos a los niños y a los adultos.
La fórmula utilizada, conocida como regla de Fried, es la siguiente: d= 0.08 AD,
donde des la dosis del niño, a es la edad del niño y D es la dosis del adulto. Si el
médico le receta 1,000 mg de acetaminofén a un adulto, ¿cuántos mg le debe de
recetar a un niño de 8 años?
Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.
¿Cual será la dosis que se debe recetar al niño?
La funcion que debemos utilizar es:
d = 0.08*A*D
Donde, A es la edad del niño, en este caso: A = 8
D es la dosis correspondiente para un adulto, D = 1,000 mg
Reemplazando eso obtenemos:
d = 0.08*8*1,000mg = 640mg
Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.
Sí quieres aprender más sobre evaluaciones, puedes leer:
https://brainly.com/question/4344214
the coordinates start at A: (2,1) B:(6,1) C(4,7) and change to A:(1,-2) B:(1,-6) C:(7,-4) what is the algebraic expression
Julie goes to a carnival with $24 to spend. Admission cost six dollars, and each ride is an additional cost. After paying for admission, she has enough money left to go on exactly 9 rides. She decide she wants to play to carnival games, the Games cost three dollars each. Julie also buy snacks that cost $3.50. How much more money, in dollars, does Julie need to go on five rides?
Answer:
$1.50
Step-by-step explanation:
24 - 6 = 18
18/9 = cost of 1 ride
cost of 1 ride = $2
2 carnival games = 3 x 2 = $6
18 - 6 = 12
12 - 3.5 = $8.50
five rides cost = 5 x $2 = $10
10 - 8.5 = $1.50
The volume of a cylinder is 48n cubic feet. The
area of the base is 121 square feet.
What is the height of the cylinder?
Answer:
1.25 feet to the nearest hundredth.
Step-by-step explanation:
Voilume = π r^2 h
Here V = 48π , and area of the base = π r^2 = 121.
So 48π = 121h
h = 48π / 121
= 1.25 feet to the nearest hundredth.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?
X=_____
Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
Select the correct answer.
A regular octagon has side lengths of 8 centimeters. What is the approximate area
he octagon?
OA. 618 cm2
OB. 512 cm2
OC 309 cm2
OD
473 cm2
Reset
Next
Answer:
C. 309 cm2
Step-by-step explanation:
A=2(1+sqr2)a^2
A=2(1+sqr2)8^2
≈309.01934
Answer: 309 cm2
Step-by-step explanation:
plato
help ASAp peaseeeeeeeeee
Answer:
7/6
Step-by-step explanation:
[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]
Answer:
7/6
Step-by-step explanation:
X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6
What is the slope of a line parallel to the line whose equation is 2x + 12y = -192
Fully simplify your answer.
Answer: -[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
To solve this question, I am going to first put the equation into slope-intercept form.
2x + 12y = -192
12y = -2x - 192
y = -[tex]\frac{2}{12}[/tex] - 16
y = -[tex]\frac{1}{6}[/tex] - 16
Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:
-[tex]\frac{1}{6}[/tex]
Answer: 1/-6
Step-by-step explanation:
i had this equation
Which of the following sets of numbers could be the side lengths of a right triangle?
3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29
Answer:
9, 40, and 42
Step-by-step explanation:
Answer:
9, 40,and 42 is the answer
Step-by-step explanation:
HELP ME OUT PLS!!!!!!!
1) Why was the narrator surprised when she walked to the carnival?
A) She heard noises coming from the park.
B) She saw shadows on the walls of the tent.
C) The moonlight lit up the streets in the town.
D) It seemed as if she was alone on the streets.
1. Which statement is not true? A. Rational numbers are closed under division. B. Odd numbers are closed under multiplication. C. Prime numbers are closed under subtraction. D. Integers are closed under addition
Answer:
integers are closed under division
Step-by-step explanation:
Integers are not closed under division.Let us consider two integers i and j.
Then need not necessarily be an integer. For example, 2 and 3 are integers but is not an integer. So the first option , namely, integers are closed under division is not true.
On the other hand, the remaining three options given are correct.
Hi! Just wondering if you could check if i got this right?
Answer:
Step-by-step explanation:
the answer is x = 24
3/4x+4=22
3x/4+4=22
3x/4+4=22
3x/4+4x4/4=22
3x/4+4x4/4=22
3x+4x4/4=22
x=24
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answer:
1/5 is the answer in my calculations
Find the area of the figure.
how to draw a line of best fit and calculate it?
A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.
Solution:
Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same
Please help I'll mark brainliest
Answer:
I think it should be 80-89.
Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.
Answer:
Before cooling begins, the temperature of the water is 22°C.
Step-by-step explanation:
need steps??
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To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?
Answer:
OK, Well to solve this first,
Set up a ratio:
height of the student/student shadow length = height of the monument/monument shadow length
height of the monument = x
6ft./4.75ft = x/435ft.
cross multtiply
6 * 435 = 4.75x
2610 = 4.75x
divide by 4.75 to both sides
2610/4.75 = 4.75x/4.75
549.47 = x
There you go Slide Brainliest Please
Step-by-step explanation: