Answers
Answer:
Step-by-step explanation:
1+cos 2a=2cos^2a
cos a=√[(1+cos 2a)/2]
[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Related Questions
show me step by step : 22.04 x 9 =
Answers
Answer:
the answer is 198.36
Step-by-step explanation:
i dont know lol sorry
12. Willie rented a bike from Sarawong's Bikes. It cost $18 plus $5 per hour. Il Willie paid $63 then he rented the bike for how many hours? WILL NEED WORK DONE AND WILL GIVE BRAINLIEST
Answers
9 x 5 = 45
45 + 18 = 63
Answer:
9 hoursStep-by-step explanation:
Let the number of hours is x.
Set up an equation and solve for x:
5x + 18 = 635x = 63 - 185x = 45x = 45/5x = 94. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answers
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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geometry help
1)what is the measure of the segment AB
2)what is the measure of segment CD
how so?
Answers
Answer:
AB = 18, CD = 16
Step-by-step explanation:
The 3 segments make the whole line , that is
AB + BC + CD = AD , substitute values
AB + 20 + (BD - BC) = 54
AB + 20 + (36 - 20) = 54
AB + 20 + 16 = 54
AB + 36 = 54 ( subtract 36 from both sides )
AB = 18
-----------------------------------------------------
BC + CD = BD , substitute values
20 + CD = 36 ( subtract 20 from both sides )
CD = 16
Answer:
Step-by-step explanation:
7 squared plus 10 times 5 plus 10
Answers
Answer:
109
7²=49 (7×7=49)
10×5=50
Therefore,
49+50+10= 109
7^2 = 49
10 X 5 = 50
50 + 10 = 60
49 + 60 = 109
<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.
Answers
Both are supplementary angles.
[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]
[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]
[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]
using the segment addition postulate find the length of segment EF
Answers
Answer:
26
Step-by-step explanation:
DE+EF=DF
Subsitue thise x values for DE, and DF
12+x=38
=26
Which of the following is the equation of the line that has x-intercept -2 and y-intercept -6?
А. y=-3x - 6
B. y=-2x - 6
C. y=-6x-2
D. y = 3x - 2
Answers
Answer:
a
Step-by-step explanation:
y=mx+c, where c is the y-intercept. hence,
y=mx-6
at the x-intercept, y=0 and x = -2
0 = m(-2)-6
2m = -6
m = -3
y = -3x-6
Answer:
a
Step-by-step explanation:
0 = m(-2)-6
M = -3
Y = -3x-6
Solve for x Round your answer to the newer hundredth.
11.22x - 200 < 347.96
(9th grade Algebra 1)
Answers
The first answer
Plz answer this is important
Answers
Answer:
6
Step-by-step explanation:
It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)
Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answers
Answer:
6
Step-by-step explanation:
you do 2 times 3 because you 2 miles is only 1/3 and you want do get the answer for an hour so 2/3 is 6
Answer:
6 miles
Step-by-step explanation:
If emma jogs at a constant rate she will travel 6 miles in 1 hour.
1/3 of an hour times 3 equals 1 hour and the 2 miles every 1/3 times 3 will be 6
hope it helps
what is the solution to 6x-(3-1)=2
Answers
Answer:
x= 2/3
Step-by-step explanation:
So, uh- First you subtract the numbers
6x-(3-1)=2
6x-(2)=2
Then you multiply the numbers
6x-1 ⋅ 2= 2
6x-2=2
(Rest of the steps:)
add 2 to both sides of teh equation
simplify
divide both sides of the equation by the same term
the simplify :V
Then you have yer answer....
sry, I am new to this :\
Please help!
Thank you!!!
Answers
[tex] \frac{1}{6} = 0.166...[/tex]
[tex] \frac{2}{6} = 0.33...[/tex]
[tex] \frac{3}{6} = 0.5[/tex]
[tex] \frac{4}{6} = 0.66...[/tex]
[tex] \frac{5}{6} = 0.66...[/tex]
[tex] \frac{6}{6} = 1[/tex]
Please help me I will give brainliest!
Answers
60,20,,30 is the answer
Point C is located between points B and D. Also BC = 5x + 7, CD = 3y + 4, BD = 38, and BD = 2x + 8y. Find the values of x and y
Answers
Using location of points and a system of equations, it is found that:
The value of x is 3.The value of y is 4.----------------------------------
Point C is located between points B and D means that:
[tex]BD = BC + CD[/tex]
----------------------------------
We are given that:
[tex]BC = 5x + 7[/tex][tex]CD = 3y + 4[/tex][tex]BD = 38[/tex][tex]BD = 2x + 8y[/tex]From this, two equations can be built.
[tex]2x + 8y = 38[/tex]
Dividing both sides by 2:
[tex]x + 4y = 19[/tex]
[tex]x = 19 - 4y[/tex]
----------------------------------
Finding y:
[tex]BC + CD = BD[/tex]
[tex]5x + 7 + 3y + 4 = 38[/tex]
[tex]5x + 3y + 11 = 38[/tex]
[tex]5x + 3y = 27[/tex]
Since [tex]x = 19 - 4y[/tex]
[tex]5(19 - 4y) + 3y = 27[/tex]
[tex]95 - 20y + 3y = 27[/tex]
[tex]17y = 68[/tex]
[tex]y = \frac{68}{17}[/tex]
[tex]y = 4[/tex]
----------------------------------
Finding x:
[tex]x = 19 - 4y = 19 - 4(4) = 19 - 16 = 3[/tex]
The value of x is 3.
The value of y is 4.
A similar problem is given at https://brainly.com/question/10956693
state two similarities and one difference between the graphs of f(x)=3^x and g(x) = (1/3)^x
Answers
Answer:
i have the sam
Step-by-step explanation:
s
HELP ILL GIVE BRAINLIEST PLS QUICK
Answers
Answer:
Y =2X +2
y = 2(13) + 3
y = 29 after 13 months
Step-by-step explanation:
x1 y1 x2 y2
0 2 2 6
(Y2-Y1) (6)-(2)= 4 ΔY 4
(X2-X1) (2)-(0)= 2 ΔX 2
slope= 2
B= 2
Y =2X +2
Someone help please
Answers
It’s the first one I guess
Since it’s obviously given in the sequence
Hope it’s correct
Sorry if wrong :’(
Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answers
Answer:
Step-by-step explanation:
the equatoin is 4x+77=497
and x is the hours spent
so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105
6139m=_____km. answer pls i beg
Answers
Answer:
6.139km
Step-by-step explanation:
1000m = 1km
6139m = 6139/1000km = 6.139km
Answer:
6.139 km
Step-by-step explanation:
1 m = (1/1000) m
So, 6139 m
= (6139/1000) km
= 6.139 km
please helpppppppppp!!
Answers
Answer:
[tex](w ^{2})^{5} = {w}^{10} [/tex]
I hope I helped you^_^
Answer:
w raised to the power of 10
Step-by-step explanation:
When you have a power raised to a power, you multiply the exponents.
You can check by using a real number for the variable
(2²) raised to the power of 5
4 raised to the power of 5 = 4 x 4 x 4 x 4 x 4 = 1024
5x2 = 10
2 raised to the power of 10 = 1024
square root of the quantity x minus 2 end quantity plus 8 equals x
solve for x
Answers
Answer:
x = 11.
Step-by-step explanation:
√(x - 2) + 8 = x
√(x - 2) = x - 8
Square both sides:
x - 2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
x = 6, 11.
With this type of question we could have extraneous roots so:
Check these 2 roots:
x = 6:
√(2 - 6) + 8 = √(-4)+8 <----- has no real value so this is not a root,
x = 11:
√(11-2) + 8 = 11 < ----Checks out.
Answer:
x = {6, 11}Step-by-step explanation:
[tex]\sqrt{x-2} + 8=x[/tex][tex]\sqrt{x-2} = x - 8[/tex]x - 2 = (x - 8)²x² - 16x + 64 = x - 2x² - 17x + 66 = 0x = (17 ± [tex]\sqrt{17^2- 4*66}[/tex]) / 2x = (17 ± 5)/2x = 11x = 6Find the are of the shaded region
Answers
Explanation:
Shaded region = 4 x 4 = 16 unit^2
Simplify each expression.
1. 92
Answers
Answer: 81
Concept:
When a number is being squared, to being put to any power, it means the number multiplies itself by the amount of times indicated by the exponent.
For example, if 3 is to the 3rd power, then it would appear to be 3 × 3 × 3.
Solve:
Given
9²
Simplify exponents
=9 × 9
Simplify by multiplication
=[tex]\boxed{81}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1
no spam plz fast
Answers
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1
If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3
The points of intersection are (1/2, -1) and (-1.5, -1/3)
Sorry about the mixture of fractions and decimals ;)
The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
Learn more about the substitute method visit:
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Which fractions are equal to 0.68?
Answers
Answer:
I think something like 17/25 because that is 68 percent
Answer:
68/100, 34/50, 17/25 are fractions equal to 0.68
Pls answer, you can get 100 points for answering, I'd give more but i can't.
Answers
Step-by-step explanation:
All steps are in picture.
If you have any question about it you can ask.
Thanks
#a
a(1)=1a(n)=3a(n-1)[tex]\\ \sf\longmapsto a(2)=3a(1)=3(1)=3[/tex]
[tex]\\ \sf\longmapsto a(3)=3a(2)=3(3)=9[/tex]
[tex]\\ \sf\longmapsto a(4)=3a(3)=3(9)=27[/tex]
[tex]\\ \sf\longmapsto a(5)=3a(4)=3(27)=81[/tex]
#b
b(1)=1b(n)=-2+b(n-1)[tex]\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1[/tex]
[tex]\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3[/tex]
[tex]\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5[/tex]
[tex]\\ \sf\longmapsto b(5)=-2-5=-7[/tex]
Find MN
Segment addition postulate
Answers
Answer:
MN= 6Step-by-step explanation:
Let MP= 32 and NP = 2632 - 26 = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
You are graphing rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(3,5), B(3,-4), and C(-2,-4).
What are the coordinates of point D?
Answers
Answer:
(-3,-5)
Step-by-step explanation:
The answer is (-3,-5)
Answer:
-2,5
Step-by-step explanation:
from coordinates A and B we see the length so the width must be A and D
4n² + 3n +5 and 2n²+3
Answers
Answer:
6n^2+3n+8
Step-by-step explanation:
simplify like terms. keep the exponent the same degree it started as