Answers
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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
Related Questions
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answers
Answer:
I think is The little (D) -12.4.
the sum of 1 and y is greater than or equal to 3 .
Answers
Inequality Answer: 1 + y ≥ 3
I hope this helps, and Happy Holidays! :)
what is the answer to the question?
Answers
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°
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answers
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
Helplsieedgoodgradeplspls
Answers
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
simplify the expression 3 √ 2 - 5 √ 18
Answers
(mark brainliest if correct plss)
Find the value of x in a triangle 68 27
Answers
find the third proportion to 8 and 12
Answers
Answer:
let the third proportion be x.
then 8,12 and x are in proportion
then 8:12=12:x
8x=12×12
x=144/8=18
Step-by-step explanation:
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
Answers
Please help me! Thank you so much!
Answers
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
What is the answer to this equation: 40+40-20x0+3+125=
Answers
Answer:
208
Step-by-step explanation:
20 × 0 = 0
40 + 40 = 80
125 + 3 = 128
The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]40+40-20\times 0+3+125[/tex]
The following steps can be used to evaluate the given expression:
Step 1 - Write down the expression.
[tex]=40+40-20\times 0+3+125[/tex]
Step 2 - First, multiply -20 by 0 in the given expression.
[tex]=40+40-0+3+125[/tex]
Step 3 - Now, Add 40 and 40 in the above expression.
= 80 + 3 + 125
Step 4 - Add 80 and 3 in the above expression.
= 83 + 125
Step 5 - Add 83 and 125 in the above expression.
= 208
For more information, refer to the link given below:
https://brainly.com/question/1957976
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answers
Answer:
Solution in photo
Step-by-step explanation:
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
Answers
1/6x + 3/2 slope of line
Answers
Answer: m=1/6
Step-by-step explanation:
pls help meeeeeeeeee
Answers
Question 2- 1.< 2.< 3.>= 4.< 5.>= 6.>
What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answers
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
in an 7th grade class with 80 people, seven tenths of the students wore shorts, how many students wore shorts
Answers
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
560/10=56
Answer: 56
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
Answers
:)3/100 is the correct answer
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answers
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
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?
Answers
9514 1404 393
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.