Answer:
78°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...
Cos = Adjacent/Hypotenuse
cos(F) = FG/FE = 1.5/7.5 = 0.2
The inverse cosine function is used to find the angle:
∠F = arccos(0.2)
∠F ≈ 78°
For any values less than -3, the answer is undefined, because then you have a negative value for √x+3
Answer:
y = 8(.88)^x
y = 4.221855 for the fifth reduction
Step-by-step explanation:
We can use the formula
y =ab^x
where a =the initial value
b= 1 -percent decrease
a = 8 inches
b = 1-12%
= 1-.12
= .88
y = 8 (.88)^x
The fifth reduction is
y = 8 (.88) ^5
y = 4.221855
Answer: the other two sides are 5 feet and 12 feet
Step-by-step explanation:
Length of one side be x , that means the other side is x + 7
by Pythagoras theorem:
+ 
= 
expanding , we have:
+ + 14x + 49 = 169
+ 14x + 49 - 169 = 0
+ 14x - 120 = 0
divide through by 2 , we have
+ 7x - 60 = 0
By factorizing , we have
(x - 5)(x+12) = 0
Therefore:
x = 5 or x = -12
Since , the side can not be negative , so
x = 5
That means the other side will be 5+ 7 = 12
