Answer:

Explanation:

simplify the following

subtract 1 from both sides

simplify the following

multiply both sides by 1/3

simplify the following

Answer:
multiplying both-side of the equation by 3
substituting 36 for p to check the solution
Step-by-step explanation:
To solve the equation p/3 = 12, we will follow the steps below;
first multiply 3 to both-side of the equation, that is:
p/3 × 3 = 12 × 3
On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator, leaving us with just p while on the right-hand side of the equation 12 will be multiplied by 3
p= 36
To check the correctness of the equation, we can substitute p = 36 back into the equation and then check, that is;
p/3 = 12
36/3 = 12
This implies p = 36 is correct
Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
= 
Or,
= 
SO,
= 
Or, 90° =
+ 
or, 90° =
+ 4x
Or, 90° = 
So, x =
= 15°
∴
= 
So,
= sin
∴ The value of Ф_1 =
= 37.5°
Similarly
= 
So ,The value of Ф_2 =
= 52.5°
∵ β
α
So, As 37.5°
52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer
Answer:
scale factor P to Q: 4/5 scale factor Q to P: 5/4
Step-by-step explanation:
Divide original length over new length and you'll get the scale factor.
Answer:
0.421875 or 27/64
Step-by-step explanation:
you divide the smallest by the bigest of the same side.