Answer:
It's repeating.
Step-by-step explanation:
0.46666666666
Find an exact value.
Cos(-7pi/12)
A. Sqrt 6 + sqrt 2
B. Sqrt 6 - sqrt 2 / 4
C. Sqrt 2 - sqrt 6
Sqrt 2 - sqrt 6 / 4
Answer:
[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].
Step-by-step explanation:
Convert the angle [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] to degrees:
[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex].
Note, that [tex]\left(-105^\circ\right)[/tex] is the sum of two common angles: [tex]\left(-45^\circ\right)[/tex] and [tex]\left(-60^\circ\right)[/tex].
[tex]\displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}[/tex].[tex]\displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}[/tex].[tex]\displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}[/tex].[tex]\displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}[/tex].By the sum-angle identity of cosine:
[tex]\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)[/tex].
Apply the sum formula for cosine to find the exact value of [tex]\cos\left(-105^\circ \right)[/tex].
[tex]\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}[/tex].
[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex]. In other words, [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] and [tex]\left(-105^\circ\right)[/tex] correspond to the same angle. Therefore, the cosine of [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)\![/tex] would be equal to the cosine of [tex]\left(-105^\circ\right)\![/tex].
[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].
Hello! Can anyone please tell me the measurement of t and v ? Any help is gladly appreciated.
Answer:
Step-by-step explanation:
is this 8th grade math?
Greatest common factor 16 and 100
Answer:
4
Step-by-step explanation:
The greatest common factor (GCF)
The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.
Here,
To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.
Here's the step-by-step process to find the GCF of 16 and 100:
Step 1: List the factors of each number.
The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Prime factorization of 16:
16 = 2 * 2 * 2 * 2
Prime factorization of 100:
100 = 2 * 2 * 5 * 5
Step 2: Identify the common factors.
The common factors of 16 and 100 are 1, 2, 4.
Step 3: Find the greatest common factor.
Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.
So, the GCF of 16 and 100 is 4.
In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.
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Can someone answer 7-11 for me by 12:00AM
Answer:
Step-by-step explanation:
7). x + y = 4 ⇒ y = 4 - x -----> xy = - 96
x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0
D = ( - 4)² - 4(1)(- 96) = 400 = (20)²
[tex]x_{1}[/tex] = (- ( - 4) - 20) ÷ 2(1) = - 8
[tex]x_{2}[/tex] = ( - ( - 4) + 20) ÷ 2 = 12
Numbers are - 8 and 12
8). It's your turn now. You can do it
9). x² - 5x + 3 = 0
0 < [tex]x_{1}[/tex] < 1
4 < [tex]x_{2}[/tex] < 5
10). - x² + 3x + 1 = 0
-1 < [tex]x_{1}[/tex] < 0
3 < [tex]x_{2}[/tex] < 4
11). x² + 2x - 2 = 0
- 3 < [tex]x_{1}[/tex] < - 2
0 < [tex]x_{2}[/tex] < 1
what is the answer pls tell
Answer: Maddie is nine
Step-by-step explanation:
PETER: 9
Kelly: 12
MAX: 14
Ashley: 11
Maddie: 9
What is 1000000×1000000?
Answer:
1×10 exponent 12
Step-by-step explanation:
hipe that helped
Answer:
Hi, I'm new can I get marked as Brainliest It would be highly appreciated.
Hope my answer helps :)
lets get into answering your question.
Step-by-step explanation:
1e+12
Question 16 (1 point) (04.05 MC) The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I? (1 point) M M Distance (mi) N к Time (hr) a Ob The car travels the same distance per unit of time because the portion shows a linear, increasing function The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function Od The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.
Answer:
honestly i think it might be (C)
Step-by-step explanation:
3 3
What is the sign of +
?
5 5
cals
Choose 1 answer:
А
Positive
B
Negative
Neither positive nor negative-the sum is zero.
Answer:
I would help you but that's cheating cause your doing a test.
Step-by-step explanation:
Help me plzzzzz mathhh
Answer:
yes
Step-by-step explanation:
Angle-Angle-Side (AAS) congruence
HTH :)
Write three ratios equivalent to each ratio. Use tables to show your work. a) 3:4 b) 14:4
Answer:
3/4 is equal to 9/12 and 14/4 is equal to 56/12
Step-by-step explanation:
multiply both sides by 3
Answer:
a) 6:8, 9:12, 12:16
b) 28:8, 42:12, 56:16
Step-by-step explanation:
The temperature fell by 13degrees Fahrenheit today. Write a signed number to represent this temperature change.
Answer:
20
Step-by-step explanation:
the domain of the sine function is:
the domain of a sine function is from negative to positive infinity. The domain is written as (-∞,∞) in interval notion. It it the same thing as the domain is all real numbers.
hope this helped <3
Answer:
the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .
Step-by-step explanation:
What is the value of the expression (0.5)4 ?
Answer:
2
Step-by-step explanation:
0.5 is the same thing as 1/2 and half of 4 is 2
please help me, when saying the answer please say why it is and show your work
Answer:
Step-by-step explanation:
If 7 toothpaste tubes cost $40.50 how much does one tubes cost?
Answer:
According to my calculations, it should be 5.78
Step-by-step explanation:
I just used a calculator for this :b
Answer:$5.78
Step-by-step explanation:
Just divide 7 by 40.50
d=17 f=3 0.9d-2.7f
pls answer
Answer:
= 7.2
Step-by-step explanation:
0.9(17) -2.7(3) =
15.3 - 8.1=
=7.2
Rachel put $2200 into an account that pays 4.2% simple interest for 5 years.
How much is in the account?
Answer:
Step-by-step explanation:
4015000
What is the value of arccos (sin(pi/2))
Answer:
0
Step-by-step explanation:
The hulk is 3 cm taller than Tarzan and 4cm shorter than Superman. If Superman's height is 2 meters, then Tarzan's heoght is
Answer:
193 cm
Step-by-step explanation:
super man is 200 cm
hulk is 196 cm
tarzan 193 cm
list all the rational roots of f(x)=36x^3-15x^2-17x+6
a. -1/3, 3/4, 1/3
b. -1/3, 2/, -3/4
c. -2/3, 3/4, 1/3
d. -2/3, 1/6, 2/3
Answer: A on Edge
Step-by-step explanation:
i’ve looked everywhere for the answer, so please help a pimp out
Answer:
b
Step-by-step explanation:
hjhggggggggggggggggggggg
Answer:
fndskfnzxc.,vnf
Step-by-step explanation:
fnznmsdv,ns.d,
Does pi go on infinitely?
Answer:
Yea it does
Step-by-step explanation:
PLEASE HELP BEST ANSWER GETS BRAINLIEST:
Give detailed and step by step answer, show your work.
Find the value of x in each case:
Answer:
x = 17
Step-by-step explanation:
We are going to call the missing angle in triangle EDC, "y"
x+y+100=4x+49+y
Eliminate the "y" on both sides
x+100=4x+49
move the x by subtracting the x on the left from the right
100= 3x +49
Move the numbers by subtracting 49 from 100
51 = 3x
Divide both sides by 3
17=x
Answer:
x=17
Step-by-step explanation:
Hello! There are a few important pieces of information you need to keep in mind before trying to solve this problem:
The angles in a triangle ALWAYS add up to 180 degrees.All vertical angles are congruent (I have attached a photo incase you aren't away of what vertical angles are)Now that we know these two pieces of information, we can begin to set up our problem. Because the angles in a triangle always add up to 180, we can set up the problem as follows:
x + 100° + ∠DCE = 4x + 49° + ∠ACB
Now this is where the vertical angles come in. Angles ∠DCE and ∠ACB are vertical, which makes them congruent. Since they are the same value, we can subtract them from either side of the equation. (NOTE: We can only do this because they are the same value. Subtracting angles of different values will mess up your answer!!!)
Now, we have the same problem in much simpler terms. We can now simplify it in order to get x.
4x + 49 = x + 100 (subtract 49 from both sides)
4x = x + 51 (subtract x from both sides)
3x = 51 (divide both sides by 3)
x = 17 (FINAL ANSWER)
I really hope this helped! Take care! :)
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below the mean. Which of the following is the z-score for the number of points scored?
–7.4
–1.2
1.2
7.4
Answer: -1.2 because I know
Step-by-step explanation:
Answer:
The person above me is right.
-1.2 is correct
ED2021
(all my homies hate stats, i do too)
A construction company ordered 65 wood beams for a new project. Each beam was 27.3 ft long. What was the total length of all the beams put together? Write your answer in yards
Answer:
591.5 yards because 27.3 multiplied by 65= 1774.5. there are 3 feet in a yard so 1774.5/3= 591.5 yds
In the winter, a town has a low of -5⁰F. In the summer, the same town has a high of 98⁰F. what is the difference between the temperature?
Write the equation of a circle with center (7,0) with radius 3
Answer:
(x-7)^2 + y^2 = 9
Step-by-step explanation:
Equation of a circle:
(x-h)^2 + (y-k)^2 = r^2
(x-7)^2 + (y-0)^2 = 3^2
(x-7)^2 + y^2 = 9
Can someone help me plz
Answer:
x=70 y=110 z=30 is all of the variables
As shown in the illustration, a starfish has the shape of a pentagon. Look at the illustration of the fruit. How many sides does this polygon have?
Answer:
Step-by-step explanation:
2
The sides this polygon have is 5 sides.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We are given shown in the illustration, starfish that has the shape of a pentagon.
Since a pentagon is a polygon that has 5 sides.
Therefore, the sides this polygon have is 5 sides.
Learn more about vertex and apex;
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