Step-by-step explanation:
Pythagoras' theorem for the smallest one :
= 52
Pythagoras' theorem for the middle one :
=
+
Pythagoras' theorem for the biggest one :
Using the formula before (for ) it becomes :
16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :
= 117
The biggest one :
True
Answer:
Step-by-step explanation:
Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.
Set up a system of equations:
Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":
Answer:
40 degrees
Step-by-step explanation:
A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.
___
You may be expected to solve this using the Law of Cosines. If we name the sides ...
the law of cosines tells us the relationship is ...
c² = a² + b² -2ab·cos(θ)
Then the angle is ...
θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))
= arccos(8.0625/10.5) ≈ 39.838° ≈ 40°
