Answer:
so you you multiply the z value to the x value witch you should already know sothen you have a fraction so my answer would be the second.
Step-by-step explanation:
up there
Acute and obsute acute- mesures less than 90 and obsute- measures more than 90 degrees and no more than 180 degrees. tbh ion know what im saying XD :D
Compound Interest Formula: 
P = initial investment of 20,000
r = interest rate (What we need to find)
n=number of compounding periods per year (Semiannually means twice per year)
A= Amount after t-years
Okay, let's plug it all in.
41,951 = 20000 (1 + r/2)^2(30)
41,951/20000 = (1 + r/2)^60
(41,951/20000 )^1/60 = 1 + r/2
(41,951/20000 )^1/60 - 1 = r/2
2( (41,951/20000 )^1/60 - 1 ) = r
0.02484539... = r
0.02484 * 100 = 2.48% rounded to the nearest hundredth of a percent
I hope I've helped! :)
Answer:
There were 30 children and 10 adults.
Step-by-step explanation:
Since they sold tickets to adults and childrens, the sum of those tickets must be equal to the total tickets that were sold, so we can mount our first equation as shown below:
adult + children = 40
Each adult ticket costs $9 and each children costs $5 and the total recieved was $240, therefore:
9*adult + 5*children = 240
We can mount the following equation system:
adult + children = 40
9*adult + 5*children = 240
We will multiply the first equation by -5 and sum both equations:
-5*adult -5*children = -200
9*adult + 5*children = 240
4*adult = 40
adult = 40 / 4
adult = 10
adult + children = 40
children = 40 - adult = 40 - 10 = 30
There were 30 children and 10 adults.
Answer:
a = 5 and b = 12
Step-by-step explanation:
<u>Step 1: Find angle B</u>
<em>Angle C = 90°</em>
<em>Angle A = 22.6°</em>
<em>Angle B = B</em>
<em>All angles in a triangle are equal to 180°.</em>
Angle A + Angle B + Angle C = 180°
22.6 + 90 + B = 180°
B = 180 - 112.6
B = 67.4°
<u>Step 2: Find the value of side AC 'b'</u>
<em>Hypotenuse = 13</em>
<em>Adjacent = b</em>
<em>Angle A = 22.6°</em>
Cos (Angle) = Adjacent/Hypotenuse
Cos (22.6) = b/13
b = 12
<u>Step 3: Find the value of side CB 'a'</u>
<em>Hypotenuse = 13</em>
<em>Opposite = a</em>
<em>Angle A = 22.6°</em>
Sin (angle) = Opposite/Hypotenuse
Sin (22.6°) = a/13
a = 4.99 rounded off to 5
Therefore, the value of a=5 and b=12.
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