1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vika [28.1K]
3 years ago
12

Plzz helpppp meee.... i need the answer and steps really fast ...​

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

R = √2

α = π/4 or 45°

Step-by-step explanation:

R cos(2n + α)

Use angle sum formula:

R [cos(2n) cos α − sin(2n) sin α]

R cos(2n) cos α − R sin(2n) sin α

Match the coefficients:

R cos α = 1

R sin α = 1

Divide:

tan α = 1

α = π/4 or 45°

Solve for R:

R cos(π/4) = 1

R / √2 = 1

R = √2

You might be interested in
What is the apparent solution to the system of equations? y=−x+2y=4x+7 Graph the system of equations using the Line tool. Plot a
Harman [31]

Answer:

Given the system of equation:

y = -x + 2 and

y =4x+7

Table for the equation y = -x + 2 ;

x                y

-1               -3

0              2

1                1

2               0

Then, the points for this equations are: (-1, -3), (0, 2) , (1, 1 ) and (2, 0)

Also, table for the equation: y =4x+7

x               y

-1.75         0  

-1              3

0              7

1               11

Then, the points for this equations are: (-1.75, 0) , (-1, 3) , (0, 7) and ( 1, 11)

Using Point tool , we plot these points of the given system of equation on the Cartesian plane.

You can see the graph as shown below in the attachment.

Also, the two lines intersects at (-1, 3)      

Therefore, the apparent solution for the given system of equation is; (-1, 3)

3 0
4 years ago
if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val
Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by P(1+\frac{r}{n})^{nt}

Thus, we have,

Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+0.00417)^{120}

i.e. Investment Value = 5000\times 1.648

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0
3 years ago
I need to help my child do division but I don't know how to do it myself
Sedaia [141]
Well this is a hard question to answer, but this is how i would put it.

 You would take a number (lets use 15) and the second number (lets use 5) would determine how many times it would go into 15. In other words, 5 time x would equal 15 (5x=15). 5, being a factor of 15, would evenly fit into 15 three times.
8 0
3 years ago
Find the slope of a line passing though the given points (1,4) (3,2)
kifflom [539]
I believe the slope is -1
4 0
3 years ago
HELPS PLS ryad borrowed $1450 and made 18 payment of $95.25 how much did he pay in interest?
BaLLatris [955]
First calculate total payments
18×95.25=1,714.5

After that to find the interest you just subtract the amount borrowed from the total payments
Interest=1,714.5−1,450=264.5

Hope it helps!
3 0
3 years ago
Other questions:
  • Identify the height of the rectangle, in which A=200x2 m2.
    14·1 answer
  • The perimeter of rectangle ABCD is 42 cm and the area is 80 cm2. Which equation can be used to find the dimensions of the rectan
    10·1 answer
  • If n = 6, then the value of n2 is 12.<br> True<br> False
    12·2 answers
  • What is the answer to this problem?<br> 96+56+75+25*54+95(58)-95= ?
    15·2 answers
  • −4(3d−2)−7 <br> What equation is equivalent?<br> A) -12d-15<br> B) 12d-15<br> C) None of the Above
    9·2 answers
  • Are the ratios 2:4 and 5:6 equivalent? yes or no ​
    5·1 answer
  • Find the perimeter. 15 in. 8 in. 12 in. 9 in. 14 in.
    11·1 answer
  • It's free point Thursdayyyy &lt;3 Your Welcome! I'm starting this today so it'll be every single Thurday!! It'll be 50-100 point
    9·1 answer
  • What is the distance from point b to point d?
    11·2 answers
  • Write an expression for the caculation the diffrence of the products of 5 and 2 and 5 and 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!