What is the exact value of tan ( 5 pi/8 )
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Explanation:
Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.
Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.
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Further explanation:
We can apply the half angle identity for tangent like so
[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]
Simplifying further, we get
[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]
In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.
Answer:
Answer D
Step-by-step explanation:
on edge 2023
Find the slope using points: (2,5) and (8,9)
Answer: The slope is 2/3:)
Step-by-step explanation: (2,5) and (8,9)
9-5 =4 /2=2
8-2 =6 /2= 3
Answer: 2/3 or 4/6.
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
(9 - 5) / (8-2)
= 4/6, which reduces to 2/3.
The slope of the line between the two given points is 4/6, or 2/3 in simplest terms.
Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. She also uses 237.87 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
21.53 in of fabric on headbands
7.67 in of fabric on wristbands.
Step-by-step explanation:
Step one:
given data
the total amount of person players plus coaches= 27+4= 31
for each person, she uses = 667.43/31= 21.53 in of fabric on headbands
She also uses 237.87inches of fabric on wristbands for just the players
For each player, she will use= 237.87/31= 7.67 in of fabric
Hence for each player, she used
21.53 in of fabric on headbands
7.67 in of fabric on wristbands
You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
solve for y when x=4
-y+5x=2(y+7x)
A. y=18
B. y=7
C. y=4
D. y=-12
Answer:
D.) y=-12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!! :)
40 plus 40 minus 20 times 0 plus 3 plus 125 equals what
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Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day
5. Which expression is equivalent to x2 - 17 x - 60?
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
I need help thank you.
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
I need help with this please
Answer:
b
Step-by-step explanation:
there's a property for Alternate Interior Angles
Answer:
Choice B
Step-by-step explanation:
The reason why < 3 is equal to < 6 is because they are alternate interior angles.
The first choice are supplementary angles they add up to 180 so they can't be equal.
The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.
The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.
this months rainfall is 30% less than last months total of 3.5 inches.
PLZZZZ ANSWWERRR ASAPPP MARKING BRAINLIEST
Answer:
1.05
Step-by-step explanation:
3.5x.30=1.05
Answer:
1.05
Step-by-step explanation:
You will have to multiply if you are trying to find the amount of water in total. So, 0.30*3.5=1.05. So, that would be your answer for the amount of rainfall.
Mrs. Maxwell is teaching a 5th grade class. She is standing 9 meters in front of Bruce. Ruth is sitting to Bruce's right. If Ruth and Mrs. Maxwell are 15 meters apart, how far apart are Bruce and Ruth?
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Answer:
12 m
Step-by-step explanation:
The distances of interest are the sides of a right triangle whose right angle is at Bruce. The hypotenuse of the triangle is the Teacher-Ruth distance. The unknown side (x) can be found using the Pythagorean theorem:
x² + 9² = 15²
x² = 225 -81 = 144
x = √144 = 12
Bruce and Ruth are 12 meters apart.
Solve the system please
Answer:
(2,-1,1) I believe
In football A field goal counts three points and extra point after touchdowns Count as one point a kicker score 30 points on 16 kicks how many of the Kicks are field goals
Answer:
2
Step-by-step explanation:
3x30=90
15x3=45
90/45=2
Answer:
He makes 14 field goals and 7 extra point kicks
Step-by-step explanation:
f=#of field goals
e=extra kick points
f+e=21
3f+1e=49
subtract top from bottom
2f=28
f=14
Good luck!
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is [tex]x^{2}-6x-16[/tex].
We need to find the factor of this trinomial.
[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]
The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).
So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).
plzzzzzzzzzzzzzzzzzzzzzzz
Option C. Please mark me as brainliest.
1/3x-2=16 solve the equation
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
What is 70% of 40??????
Answer:
28
Step-by-step explanation:
hope this helps
Answer:
28
Step-by-step explanation:
70% is equal to 70/100. "of" when used in math means multiplaication.
so we do 70/100 x 40
we can simplify 70/100 to get 7/10.
now we multiply:
7/10 x 40 = 28
Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answer:
1/2 ÷ 3/10
1/2×10/3
5/3
1 2/3
1) option is correct
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Answer:
1) 1 2/3
Step-by-step explanation:
The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.
1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3
1/6x + 3/2 slope of line
Answer: m=1/6
Step-by-step explanation:
its all in the picture
Answer:
6
Step-by-step explanation:
..............................
Answer:
f(- 3) = 6
Step-by-step explanation:
f(- 3) means what is the value of f(x) when x = - 3
Locate x = - 3 on the x- axis
Then go vertically up to meet the graph at (- 3, 6 )
The value of f(- 3) is therefore 6, that is
f(- 3) = 6
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
The graph below represents one function, and the table represents a different function. How are the functions similar? How are they different?
Answer:
Step-by-step explanation:
they both go thur the point (0,-4) so they both have the same b in the slope intercept from of y =mx +b
but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1 , both positive.. :)
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph, using the point (3, 0) and (0, -4):
y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)
y = (4/3)x - 4
From the table using (0, -4) and (2, -2):
y - (-4) = [(-2-(-4))/(2-0)](x - 0)
y = x - 4
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
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in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
simplify the expression 3 √ 2 - 5 √ 18
The graphs below have the same shape. What is the equation of the blue
graph?
A. g(x) = (x+4)^2
b. g(x) = x^2-4
c. g(x) = x^2+4
d. g(x) = (x-4)^2
(D) [tex]g(x)=(x-4)^{2}[/tex]
Graphs:The set of ordered pairings (display style [tex](x,y)[/tex]) of a function (display style [tex]f(x)=y[/tex]) in mathematics is known as the graph of that function. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical case where "display style [tex]x[/tex]" and "display style [tex]f(x)[/tex]" are real values.Graph equations:Equations with graphs as the unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory. Different graph equations may be used to express the aforementioned graphs.Therefore, the correct equation for the blue graph is [tex]g(x)=(x-4)^{2}[/tex].
Know more about the Graphs here:
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