Find the measure of each angle indicated

Answers

Answer 1

Answer: Θ≈44.29

Working:
We need to use inverse trigonometric functions to evaluate the angle
Note that tan(Θ)=o/a where
o=opposite side & a=adjacent side (the last being the hypotenuse)
The inverse being Θ=arctan(o/a)
We substitute the given sides to get Θ=arctan(4/4.1)
Put this into the calculator and the result is ≈ 44.2926806315
Rounded off to 2 decimal places: Θ≈44.29
N.B. arctan usually appears on a calculator as tan to the power of -1

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How much would $600 invested at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent.

Answers

Answer:$762.73

Step-by-step explanation:

The answer would be 762.75

Hope this helps. Good luck!

System Of Equations Elimination Method1. -3x+10y=11, -8x+2y=-20
2. 4x+16y=-19, -8x+2y=10
3. 2x+6y=-2, -x+2y=6
4. -8x-y=-13, 5x-3y=-10
5. -4x+6y=4, -x+8y=1
6. -x+y=-5, 7x-3y=23
7. -9x-5y=26, 4x-4y=-24

Answers

1. x = 3, y = 2
2. x = -99/68, y = -14/17
3. x = -4, y = 1
4. x = 1, y = 5
5. x = -1, y = 0
6. x = 2, y = -3
7. x = 14, y = 20

I attached the pictures with the work.

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. For how many movie rentals will the cost be the same at both book clubs? What does that cost?

Answers

Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

Book club A charges $20 for membership and $2 per book rental. So, the total cost is

$C_1=20+2x$ ...(i)

Book club B charges $10 for membership and $3 per book rental. So, the total cost is

$C_2=10+3x$ ...(ii)

Equating (i) and (ii), we get

$10+3x=20+2x$

$3x-2x=20-10$

$x=10$

The total cost is

$C_1=20+2(10)$

$C_1=20+20$

$C_1=40$

Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.

Log11 1/121=-x-4 stupid math

Answers

$log_(11)121=-x-4\n\nlog_(11)11^2=-x-4\n\n2=-x-4\n\nx=-4-2\n\nx=-6$

$log_(11)(1)/(121)=-x-4\n \n log_(11)11^(-2)=-x-4\n \n 11^(-x-4)=11^(-2)\n \n -x-4=-2\n \n -x=-2+4\n \n -x=2\n \n \boxed{x=-2}$

What is 50/100 in decimal

Answers

All you have to do is divide. So divide 50÷100 and you will get your answer. When you divide by 100 all you have to do is move the decimal two places to the left so the answer is .5

0.5 is the answer to that I hope I got it right

Can you help me solve for z

Show your work please