Step-by-step explanation:
-1 - root3
The value of the given expression 2cos2(105⁰) − 1 is,
⇒ - 1 - √3
What is trigonometric functions?A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.
We have to find the value of;
⇒ 2cos2(105⁰) − 1
Now, We can Plug 105° = θ
So, the expression becomes,
⇒ 2cos2θ - 1
Using the formula;
cos2θ = 1 - 2sin^2θ
We get;
⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1
= 2 - 4sin^2θ - 1
⇒ 2cos2θ - 1 = 1 - 4sin^2θ
Now, Again plug θ = 105°
⇒ 2cos2(105°) - 1 = 1 - 4sin¹⁰⁵
⇒ 2cos2(105°) - 1 = -1 - √3
Hence, The value of the given expression is,
⇒ (-1 - √3)
Learn more about trigonometric function visit:
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p(0)
17. If p (m) = 4m3 + 3, the value of
p(1)-P(-1)
divides it int
Answer:
[tex]p(1) - p(-1) =8[/tex]
Step-by-step explanation:
Given
[tex]p(m) = 4m^3 + 3[/tex]
Required
[tex]p(1) - p(-1)[/tex]
First, we calculate p(1)
Substitute 1 for m in [tex]p(m) = 4m^3 + 3[/tex]
[tex]p(1) = 4(1)^3 + 3[/tex]
[tex]p(1) = 4*1 + 3[/tex]
[tex]p(1) = 4 + 3[/tex]
[tex]p(1) = 7[/tex]
Next, we calculate p(-1)
Substitute -1 for m in [tex]p(m) = 4m^3 + 3[/tex]
[tex]p(-1) = 4(-1)^3 + 3[/tex]
[tex]p(-1) = 4*-1 + 3[/tex]
[tex]p(-1) = -4 + 3[/tex]
[tex]p(-1) = -1[/tex]
[tex]p(1) - p(-1)[/tex] is then calculated as:
[tex]p(1) - p(-1) = 7 - (-1)[/tex]
[tex]p(1) - p(-1) = 7+1[/tex]
[tex]p(1) - p(-1) =8[/tex]
ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math
Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
Select the correct answer. Find the quotient of (5+4i)/(6+8i) , and express it in the simplest.
Answer:
[tex]\frac{31}{50}-\frac{4i}{25}[/tex]
Step-by-step explanation:
Luther starts jogging 8minutes on the first day and then increases his time by 4 minutes each day. How many minutes will he jog the fifth day?
Answer:
80?
Step-by-step explanation:
Answer:
(8+4)x5
Step-by-step explanation:
x-10x+1< 20+ 5x for x = -2
Help me please
Answer:
As the x=-2 does not satisfy the inequality.
Therefore, the solution is False!
Step-by-step explanation:
Given the expression
[tex]x-10x+1<\:20+\:5x\:[/tex]
substituting the value x = -2
[tex]\left(-2\right)-10\left(-2\right)+1<20+5\left(-2\right)[/tex]
[tex]-2+20+1 < 20-10[/tex]
[tex]19 < 10[/tex]
As the x=-2 does not satisfy the inequality.
Therefore, the solution is False!
2 quarters and 2 dimes is what percent of 1 dollar?
Answer: 70%
Step-by-step explanation:
2 quarters and 2 dimes is 70 cents. 100 cents total in a dollar so no need for further calculation. 70%
What is the average time in seconds between 2.15 2.05 2.02
Answer:
[tex]Average = 2.073[/tex]
Step-by-step explanation:
Given:
Time: 2.15, 2.05, 2.02
Required
Determine the average
Average is calculated as thus:
[tex]Average = \frac{\sum x}{n}[/tex]
In this case:
[tex]\sum x = 2.15+2.05+2.02[/tex]
and
[tex]n = 3[/tex]
[tex]Average = \frac{\sum x}{n}[/tex] becomes
[tex]Average = \frac{2.15+2.05+2.02}{3}[/tex]
[tex]Average = \frac{6.22}{3}[/tex]
[tex]Average = 2.073[/tex]
Answer:
2.07
Step-by-step explanation:
I took the Lab and got it right
the answer for the next two questions are
The average time to the first quarter checkpoint is
2.07
seconds.
The average time to the second quarter checkpoint is
3.16
seconds.
The average time to the third quarter checkpoint is
4.11
seconds.
The average time to the finish line is
4.92
seconds.
Have a good day and good luck with the rest of your school :D
Several large bowls are containing various amounts of tangerines on a table. When 12 of the bowls each had 8 more tangerines added to them, the mean (average) number of tangerines per bowl increased by 6. How many bowls of tangerines are on the table?
Answer:
4
Step-by-step explanation:
URGENT!! Please help
Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
4a.
An iron bar is heated. Its length, L, in millimetres can be modelled by a linear function, L=mT+c, where T is the temperature measured in degrees Celsius (°C).
At 150°C the length of the iron bar is 180 mm.
Write down an equation that shows this information.
4b.
At 210°C the length of the iron bar is 181.5 mm.
Write down an equation that shows this second piece of information.
4c.
At 210°C the length of the iron bar is 181.5 mm.
Hence, find the length of the iron bar at 40°C.
(really need most help on last one)
Answer and Step-by-step explanation:
need help!!!!!!!!!!!!!!!!!!!
Answer:
-6x=64
Step-by-step explanation:
Answer:
64 -- 6 = x
( x equals 58 btw )
<3 Enjoy,
Dea
750 is 150 percent of what?
Answer:
500
Step-by-step explanation:
you welcome!! can have brainliest?
Answer:
500
Step-by-step explanation:
Which translation moves point Z so that the whole image is only in quadrant 1 and 2
Captionless Image
Answer:
I can’t see the picture!
Step-by-step explanation:
please help!! it’s due soon:(
Answer:
Step-by-step explanation:
AC ≅ AD ; BC≅ BD Given
AB ≅ AB Reflexive property of congruence
ΔACB ≅ ΔADB Side Side Side Postulate
Evaluate
--5a + 2b – 6c when a = -6, b=1, and c= -2.5
ples halp ples tysm....
is the square root of 10 greater less than or equal to 5
Answer: it is less then 5
Step-by-step explanation:
Because 10 lies between two consecutive perfect squares (in increasing order) 10 is located between the square roots of these two numbers. This means that 10 is located between 10 is less than 5.
Answer:
less than
Step-by-step explanation:
finding the square root of 10 is a bit complicated because the number 10 is not a perfect square which has a number 0 at it's unit Place. Finding the square root of a number is the reverse process of squaring the number. we can find the square root of 10 using two methods one method is to find the root value using unit places and another method is with the help of long division method.
HELP ASAP PLZ NEED IR SNDWWRED AS PAST AS POSSIBLE
Answer:
I would say, 2.5
Step-by-step explanation:
Because the calculator said 2.67
Plzz help. Giving everything.
D. 24.5
Answer:
[tex]\frac{8}{14} = \frac{14}{x+2}[/tex] (since they're similar, set them up as a proportion to find x)
14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)
196 = 8x +16 (subtract 16 from both sides)
180 = 8x (divide both sides by 8)
x= 22.5 (is your answer, or C)
Step-by-step explanation:
please help solve this.
Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10
Answer:
x=30
Step-by-step explanation:
Let's solve your equation step-by-step.
35=1.5x−10
Step 1: Flip the equation.
1.5x−10=35
Step 2: Add 10 to both sides.
1.5x−10+10=35+10
1.5x=45
Step 3: Divide both sides by 1.5.
1.5x÷1.5=45÷1.5
x=30
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
Demi has 221 songs on her phone. The songs take up 884 megabytes of storage. Each song takes up the same amount of space. How many megabytes do 135 of these songs take up?
Help me please solve this
9514 1404 393
Answer:
a) no
b) yes
Step-by-step explanation:
a) You cannot draw the graph around x=0 without lifting your pencil. The function is not continuous at x=0.
__
b) You can draw the graph around x=1 without lifting your pencil. The function is continuous at x=1.
_____
Additional comment
In technical terms, the limit from the left at x=0 is 2; the limit from the right is 3. These are different, so the function is not continuous there.
On the other hand, the left and right limits at x=1 are the same (both 2), and are equal to the value of the function at that point (f(1)=2). Hence, the function is continuous at x=1.
Which of the following polynomials is in standard form?
z10-5z-6z2+z3
-4+z15+z5-z3
z5-2z4+z2-4z
z5+z15-z3-4
Answer:
running a two year contract is the best i have to do with my life in this world and it has a great way to go through the
Answer:
The 2nd one
Step-by-step explanation:
Can someone pls help me find the second derivative of this. I need to find the concave up and down intervals but I’m having trouble getting the second derivative
Starting from
[tex]f(x)=\dfrac14(x+1)^{\frac83}-4(x+1)^{\frac23}[/tex]
take the first derivative using the power and chain rules:
[tex]f'(x)=\dfrac83\cdot\dfrac14(x+1)^{\frac83-1}-\dfrac23\cdot4(x+1)^{\frac23-1}[/tex]
[tex]f'(x)=\dfrac23(x+1)^{\frac53}-\dfrac83(x+1)^{-\frac13}[/tex]
Now take the second derivative:
[tex]f''(x)=\dfrac53\cdot\dfrac23(x+1)^{\frac53-1}-\left(-\dfrac13\right)\cdot\dfrac83(x+1)^{-\frac13-1}[/tex]
[tex]f''(x)=\boxed{\dfrac{10}9(x+1)^{\frac23}+\dfrac89(x+1)^{-\frac43}}[/tex]
Optionally, you can condense the second derivative a bit by factoring out [tex]\frac89(x+1)^{-\frac43}[/tex], which gives
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^{\frac63}+1\right)[/tex]
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^2+1\right)[/tex]
[tex]f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80x^2+160x+81\right)[/tex]
picture file listed below
Answer:
b, d, e
Step-by-step explanation:
What is the value of the following expression: 3.25 x 4
Answer:
13
Step-by-step explanation:
Help people help!!!!
Answer:
I think that it is
C
Please let me know if it is not correct!!!!
Answer:
A would most likly be the answer
Step-by-step explanation:
because in the equation sinse A = -5 1/4 which is whe he was at the end hopefully you understand
Need help asap please. solve for x 2/5x = 6/5
Answer: You need to divide the numbers.
Step-by-step explanation:
Answer:
The answer is X=3
Step-by-step explanation:
2/5x=6/5
x=6/5*5/2=3
So your answer is 3
Hope this helps
also can I plz have brainliest :)