Answers
Answer:
sin2θ = [tex]\frac{1320}{3721}[/tex]
Step-by-step explanation:
Given
sinθ = [tex]\frac{11}{61}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a right triangle with legs 11 and x ( adjacent ) and hypotenuse 61
Using Pythagoras' identity in the right triangle to find x
x² + 11² = 61²
x² + 121 = 3721 ( subtract 121 from both sides )
x² = 3600 ( take the square root of both sides )
x = [tex]\sqrt{3600}[/tex] = 60
Then cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{60}{61}[/tex]
Using the identity
sin2θ = 2sinθcosθ , then
sin2θ = 2 × [tex]\frac{11}{61}[/tex] × [tex]\frac{60}{61}[/tex] = [tex]\frac{1320}{3721}[/tex]
Related Questions
It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult and one child to attend the show? Set up and solve a system of equations using substitution.
Answers
Answer:
For one adult it costs $15
For one child it costs $10
Step-by-step explanation:
So..
One adult = $15
Two children = $20 10×10
= $35
Then..
Two adult = $30 15×15
Three children = $30 10×10×10
= $60
Plz mark brainliest thanks
Two jogger run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
If they travel the shortest distance back. How many total miles did the joggers go?
Answers
Answer:
zkxlllllllllllllllllllllllll
Step-by-step explanation:
Answer:a² + b² = c²
c² = 8² + 5²
c² = 89
c = √89
c = 9.4 miles
Step-by-step explanation:
what is the original price if the percent of the discount is 15% and the sale price is $146.54
Answers
Answer:
$976.93
Step-by-step explanation:
so if the sale price is 146.54 and the discount is 15% then divide 146.54 by 15% or .15.
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novels to comic books?
Answers
Answer:
4:21
Step-by-step explanation:
since she read 4 sci-fi novels and 21 comic books, you put 4:21.
Write the number 8.9 x 10^6 in standard form. Write the
number without commas.
Answers
Answer:
8900000
Step-by-step explanation:
Move the decimal point to the right 6 times
1) 89
2) 890
3) 8900
4) 89000
5) 890000
6) 8900000
what do i do on this problem?? do i divide or subtract? i'm very confused
Answers
Answers: -2,2,4,-3,8
Find the product of (3x + 7y)(3x - 7y). (2 points) PLEASE I NEED THIS NOW
Answers
Best luck with your studying
Answer:
(3x +7y)(3x-7y)
3²x²-21xy+21xy-7²x²
3²x²-7²y²
9x²-49y²
How many times larger is 3.172 x 106 than 2.44 x 105?
Answers
Answer: 2 times larger.
Step-by-step explanation:
Describe two ways to find the distance between two points in a
coordinate plane.
Answers
If the two points do not share an x or y coordinate, then you could use the distance formula, which is this: √(x2-x1)^2 + (y2-y1)^2
If my two points were (0,3) and (1,4) using the distance formula the points are approximately 1.414 units apart:
√(1-0)^2+(4-3)^2 = √1+1 = √2 = 1.414
I hope this helps!
Elena has 6 yards of ribbon. She takes 1/4 yard of a ribbon to make a bow. How many bows can she make with the ribbon she has?
Answers
Answer:
she can make 4 bows
Step-by-step explanation:
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 15 feet. Which measurement is closest to the length of this rectangle in feet?
Answers
Answer:
a=14.46ft
Step-by-step explanation:
1) a^2*b^2=c^2
2) a^2*4^2=15^2
3) a^2*16=225
4) a^2=209
5) a=[tex]\sqrt{209}[/tex]
6) a=14.46ft
wht are y'all doing
Answers
Complete the function table.
Function: y = 4x + 1
Х
у
0
1
2
4
6
25
Answers
Step-by-step explanation:
with the y= 4x +1
they find the first column by replacing x in the function by 0
meaning if x= 0 then y=4(0) + 1 so y=1
for the second column if x =2 then y= 4(2) +1 so y= 9
for the 3rd one if x =4 then y = 4(4)+1 so y = 17
Suppose you open a bank account and deposit $50. Then, every month you deposit $20. Write an
equation that relates the total number of dollars deposited, T, and the month, m.
Which equation below relates the total number of dollars deposited, T, and the month, m?
Answers
Answer:
hello
Step-by-step explanation: i can not the answer.
Answer:
T = 50 + 20m
Step-by-step explanation:
To wright an equation for t u start with the original amount deposited deposited meaning put into the savings account then add the amount added per month 20 times the number of months m.
Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1.25 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Aaliyah's total pay on a day on which she sells xx computers. Answer: P=
Answers
Answer:
p=70+1.25x
Step-by-step explanation:
Answer:
P=1.25x+70
Step-by-step explanation:
So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:
P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.
P=1.25+70
Solve the system of equations by graphing to find the solution y=3x-4 y= 1/2x+3
HELP PLS
Answers
Answer:
Here you go A. x=4/3 B. x=6
A bowl of fruit contains 10 oranges, 12 apples, 6 plums, and 2 peaches. If you want to compare the number of apples to oranges what is the correct way to express this numerically and what language correctly describes the comparison?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
To compare the number of apples to oranges
Number of apples = 12
Number of oranges = 10
Number of apples in terms of oranges :
12 /10 = 1.2
Number of apples = 1.2(number of oranges)
If number of apples = x
Number of oranges = y
x = 1.2y
There are 1.2 times the number of apples than number of oranges.
can i get help pldssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
X = 3
2x + 3
2(3) + 3
6 + 3
9
For the other one:
2(x + 3)
2(3+3)
2(6)
12
2x + 3 and 2(x + 3) are not equivalent because one has parentheses, which means you will have to do parentheses first instead of multiplication (PEMDAS rule)
Hope this helps!
What is the volume of the rectangular prism? 64 in3 128 in3 256 in3 512 in3
Answers
Answer:
15.7315814 liters
Step-by-step explanation:
Answer:
Its 256 in 3
Step-by-step explanation:
sorry if im wrong.
50 points! Find the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3). Random answers will be reported guys
Answers
Answer:
the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3).
={(-6-3-0)/3,(8+1+3)/3}=(-3,4)
Answer:
( - 3, 4 )
Step-by-step explanation:
The centroid of a triangle is the intersection of the three medians of the triangle.
A ( - 6, 8 )
C ( 0, 3 )
Coordinates of the midpoint of AC are D( - 3, 5.5 )
Median BD is x = - 3
Coordinates of midpoint of BC are E( - 1.5, 2 )
[tex]m_{AE}[/tex] = - [tex]\frac{4}{3}[/tex]
Equation of median AE is y = - [tex]\frac{4}{3}[/tex] x
Solve system of equations:
y = - [tex]\frac{4}{3}[/tex] x and x = - 3
( - 3, 4 ) are coordinates of the centroid of the Δ ABC
Seventy-two is what percent of 45?
Answers
Answer: 160%
Step-by-step explanation:
72/45 = 1.6 x 100 = 160%
Matrix Multiplication
Answers
Answer:
10 1
Step-by-step explanation:
When (3,-2) is reflected across the x-axis the resulting image point is:
(-3,2)
(3,2)
(-3,-2)
(6,-4)
Answers
Answer:
(3,2)
Step-by-step explanation:
when reflecting across the x axis the y value becomes - while the x value stays the same
SOMEONE PLZZZ HELPPP
Answers
Answer:
B.2
Step-by-step explanation:
3^2x1=9
3^2x2=81 <-
3^2x3= 729
3^2x4= 6561
9^3(1)-4= 0.11111111111
9^3(2)-4=81 <-
9^3(3)-4=59049
9^3(4)-4=43046721
Therefore, we can conclude that x=2.
can someone please help me
Answers
Answer:
Step 2 has the error because they added the five to -3 and got -8 when they should have gotten 2.
Step-by-step explanation:
What is the area of major sector DFE?
A. 157.86 square cm
B. 133.94 square cm
C. 132.54 square cm
D. 125.57 square cm
Answers
Answer:
Step-by-step explanation:
Area of the circle = πr² = π7.3² = 53.29π
Area of major sector = 53.29π(285/360) ≈ 132.54 cm²
The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.
What is a Major Sector ?The region bounded by the two radii and intercepted arc in a circle is called a sector .
The angle made by the radii to the center of the circle is called central angle .
if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.
It is given that
The radii of the circle is 7.3 cm
The angle subtended by the major sector at the center is 285 degree.
The area of the sector is given by
= ([tex]\rm \theta[/tex] / 360) * Area of the circle
Area of the circle is πr²
Area of the sector = ( 285 / 360) * (22/7) * (7.3)²
Area of the sector is 132.5 sq.cm
Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.
To know more about Major Sector
https://brainly.com/question/1450993
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What is the area of this trapezoid?
26 cm²
32 cm²
40 cm²
72 cm²
Answers
Answer:
area = 26 m²
Step-by-step explanation:
4x5 = 20
3x4x0.5 = 7.5
20 + 6 = 26 m²
a line that passes through (-8,4) and has a slope of -5/4
Answers
Answer:
y2-y1, x2-x1
Step-by-step explanation:
4-(-5)= 4-(-8)
4+5=4+8
9=12
9/12
3/4
the slope of line is 3/4
Cant figure it out. Help?
Answers
Answer:
multiply lenght x width x height and multiply by 2 that should get you 392
Step-by-step explanation:
Pls answer asap, brainilest will be given to best answer, and best explanation.
Answers
Answer:
it should be D
Step-by-step explanation:
because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x