First way
arcsin(1/4) means that 1/4 sin of the angle.
sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4
<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4
For one value of sinα, possible 2 values of cosα.
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
Answer:
r = 3 1/4
Step-by-step explanation:
Here, we want to find the value of r given the values
Firstly, we will write r as the subject of the formula
U = π ( r + h)
U/π = r + h
r = U/π - h
Now substitute;
U = 16 1/2 = 33/2
h = 2
π= 22/7
r = 33/2/22/7 - 2
r = (33/2 * 7/22) - 2
r = 21/4 - 2
r = (21-8)/4
r = 13/4 = 3 1/4
Answer:
I think you wrote something wrong.
Step-by-step explanation:
If Alaina has $7 in her bank account and Joel had $48 in his Joel already has more then Alaina but I will attempt to teach you how to solve these types of problems.
for this example I'm giving Alaina 79 dollars.
First we know were starting with 79 dollars and increasing 6 dollars each day so the equation for this is; y = 6x + 79 that is Alaina's equation.
For Joel our equation will be; y = 8x + 48.
Since they already have 79 and 48 dollars in their bank we put those as our B in the equation cause they are our y-intercepts. (Y = mx + b) Next we know their increasing by 6 and 8 dollars a day so we make those our m. Once we have these equations we can plot them and see where the lines meet. (thats our answer) I plotted them on desmos graphing calculator.
They crossed at (15.5, 172) Which means it will take 16 days for Joel to catch up they will both have 172 dollars in the bank account on the 16th day.
Hope this helps!
