Answers
Answer:
Step-by-step explanation:
First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).
sin(2A) = 2sin(A)cos(A)
We know from the triangle we drew in the coordinate plane that
[tex]sin(A)=\frac{3}{5}[/tex] and [tex]cos(A)=\frac{4}{5}[/tex] so we fill in the formula accordingly and then simplify:
[tex]sin(2A)=2(\frac{3}{5})(\frac{4}{5})=\frac{24}{25}[/tex]
cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.
[tex]cos(2A)=cos^2(A)-sin^2(A)[/tex] and filling in the formula:
[tex]cos(2A)=(\frac{4}{5})^2-(\frac{3}{5})^2\\cos(2A)=\frac{16}{25}-\frac{9}{25}\\cos(2A)=\frac{7}{25}[/tex]
I'm not sure why you have 7/2 there...
Related Questions
A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??
Answers
Answer:
$31,598.33
Step-by-step explanation:
she worked 4+5=9 days.
due the total average we need the total of sales and divide it by the length of the observation period (9 days).
how much did she sell in total on the first 4 days ?
well, the average times 4 = 32130×4 = $128520
how much did she sell in total during the following 5 days ?
31173×5 = $155865
so, the daily average is
($128520 + $155865) / 9 =$284385 / 9 = $31,598.33
Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL
Answers
Answer:
D.(CDL)
Step-by-step explanation:
Answer:
CDL
Step-by-step explanation:
C is 100
D is 500
500-100=400
L is 50
400+50=450
How many solutions are there to the equation below?
6x+8 - 2x(7 - 2) = 2(6+1)
A. 0
B. 1
C. infinitely many
Answers
Answer:
B one solution
Step-by-step explanation:
Answer:
B - one solution
Step-by-step explanation:
6x+8−2x(7−2)=2(6+1)
Subtract 2 from 7 to get 5.
6x+8−2x×5=2(6+1)
Multiply 2 and 5 to get 10.
6x+8−10x=2(6+1)
Combine 6x and −10x to get −4x.
−4x+8=2(6+1)
Add 6 and 1 to get 7.
−4x+8=2×7
Multiply 2 and 7 to get 14.
−4x+8=14
Subtract 8 from both sides.
−4x=14−8
Subtract 8 from 14 to get 6.
−4x=6
Divide both sides by −4.
x=−46
Reduce the fraction −46 to lowest terms by extracting and canceling out 2.
x=−23
hope it helps :)
1. The volume of a cube is 27 cubic inches. How long is its side? 3
Answers
If I'm not wrong, it should be 27cm^3. Hope this helps!!
Answer:
3
Step-by-step explanation:
[tex]\sqrt[3]{27}[/tex]
please help me with this ixl it would be much appreciated
Answers
Answer:
q=2,6
r=8,6
s=8,10
t=2,10
Answer:
Q= (-2, -6)
R= (-8, -6)
S= (-8, -10)
T= (-2, -10)
Step-by-step explanation:
Since the rotation is 180 degrees, change all of the numbers to the opposites/negatives.
Then, since the rotation is counterclockwise, switch all of the x and y values.
I hope this helps!
pls ❤ and mark brainiest pls!
I need help dont just add both numbers ill give extra hundrend after you answer
Answers
Answer:
28
Step-by-step explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
[tex]x +2 y = 80[/tex]
[tex]2x + y = 76[/tex]
Eliminate the x variable by multiplying the top equation by -2
[tex] - 2x - 4y = - 160[/tex]
[tex]2x + y = 76[/tex]
Add both equations.
[tex] - 3y = - 84[/tex]
[tex]y = 28[/tex]
So one helmet cost $28
Bananas are $0.59/pound what is the constant of proportionality?
Answers
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
Find the measures of unknown angles.
Answers
Answer:
hope this helps you
god bless you
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answers
Answer:
The first choice.
Step-by-step explanation:
It pass through the x axis at x = 3, so a factor must be (x - 3).
Answer:
The first option is correct :)
~Hope this helps
Hello! I’ll take any help !!
Answers
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
I'm backk!! School has officially started... here we go again
+*♡ FREE QUESTION!! ♡*+
Answers
congrats? Im not sure what to say.
what is 2 ÷ 3 = as a fraction???
Answers
Answer:
[tex]2 \div 3 \\ \frac{2}{3} [/tex]
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260
If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?
Answers
Step-by-step explanation:
by deleted user on here.
geometry #1 please will give brainliest
Answers
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2
A. 8.5
B. 7.5
C. -7.5
D. 7m
Answers
Answer: B
Step-by-step explanation:
4.5+6=10.5
2 1/2 - 5 1/2 = 2.5 - 5.5 = -3
10.5 - 3 = 7.5
Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely
Answers
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
Note:If you have any question about it you can friendly ask.Thanks
find x step by step
Answers
Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
Write 81 in exponential form
Answers
Answer:
3 exponent 4
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\bullet\rm{\ Exponential\ form \ is \ basically \ a \ number \ that \ is \ expressed \ within \ the \ exponent.}[/tex]
[tex]\star\rm{\ Example: a^b, whereas\ \underline{a} \ is \ the \ \bold{base} \ \& \ \underline{b} \ is \ the \ \bf exponent}[/tex]
[tex]\huge\boxed{\square }\huge\textsf{ Answering your question }\huge\boxed{\square{}}[/tex]
[tex]\large\boxed{= 81}[/tex]
[tex]\large\boxed{= 3 \times3 \times 3 \times3}[/tex]
[tex]\large\boxed{= 9\times9}[/tex]
[tex]\large\boxed{= \bf 3^4}[/tex]
[tex]\huge\boxed{\mathsf{\rm Answer: \mathsf{3^4}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
Answers
baiiiiwiedujjjdjdhsb20
a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T
Answers
Answer:
12 workers are required to complete the work in 12 days
Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?
Answers
Answer:
$5.35
Step-by-step explanation:
20-14.65=5.35
How many solutions does the system have?
8x + 2y = 14
82 + 2y = 4
Answers
you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .
Ans X=11.5
Y = -39
8x+2y=14 eqn.......1
82+2y=4 eqn .......2
2y= -78 (4-82)
y = - 39
putting value of y in eqn ..1
we get,
8x+ 2×(-39) =14
8x= 14+78
8x=92
x = 92÷8
x=11.5
it's a subtition method..
can someone answer these 2 questions
Answers
Explanation:
1).
a. f(1) = 2(1)^2 - 3(1) + 1
= 2 - 3 + 1
= 0
b. g(2) = 4(2) - 2
= 8 - 2
= 6
c. f(-3) = 2(-3)^2 - 3(-3) + 1
= 2(9) + 9 + 1
= 28
d. f(-4) = 2(-4)^2 - 3(-4) + 1
= 2(16) + 12 + 1
= 45
2).
When x = -8
y = -3/4x + 2
= -3/4(-8) + 2
= 6 + 2
= 8
When x = -4
y = -3/4(-4) + 2
= 3 + 2
= 5
When x = 0
y = -3/4(0) + 2
= 2
When x = 4
y = -3/4(4) + 2
= -3 + 2
= -1
Name a pair of adjacent complementary angles
Answers
9514 1404 393
Answer:
∠LJM and ∠MJN
Step-by-step explanation:
Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...
∠LJM and ∠MJN
can someone please help me with this?
Answers
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
How do you simplify a fraction with a denominator of a variable like this
6x/x
Answers
Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answers
Answer:
The mixture for Brand A fruit is 5%.
[tex]f(x) = 2x^{2} +5x-2[/tex]
Answers
Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
4 ÷ 1 1/8 Answer must be in simplest form
Answers
Answer:
4÷ 1 1 /8 = 32 /9 = 3 5 /9
PLEASE HELP FAST
bx = -5