For this case we must solve the following questions:
Question 1:
We should simplify the following expression:
Applying double C we have:
By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:
Answer:
Option A
Question 2:
We should simplify the following expression:
So, we have:
Simplifying common terms:
Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:
<em>
</em> We look for two numbers that multiplied give -50 and added -5:
<em>
</em>
Rewriting the given expression we have:
We simplify common terms in the numerator and denominator we have:
Answer:
Option D
Answer:
the answer is 15.
Step-by-step explanation:
you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.
33/50 because it is biggest
Answer:
r= RE/I
Step-by-step explanation:
E=I(R+r)
divide both sides by I
E/I = R+r
subtract both sides by R
R(E/I) = r
r = RE/I
Answer:
A ≈ 9.0 ft²
Step-by-step explanation:
70° = 7π/18 radians
Area of the arc section
A = ½(7π/18)8² = 12⁴/₉π ft² = 39.09537 ft²
As the triangle is isosceles, the other two angles are (180 - 70) / 2 = 55°
law of sines 8 / sin55 = L / sin 70 L = 9.17722
so the triangle height = √(8² - (9.17722/2)²) = 6.55321
Area of triangle ½(6.55321)(9.17722) = 30.07016
Area = 39.09537 - 30.07016 = 9.025211 ≈ 9.0 ft²
