Answer: The number of supervisors are 9 times the number of unicorns.
Step-by-step explanation:
Let the number of supervisors be 'n'.
Let the number of unicorns be 'u'.
According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.
So, Mathematically, it is expressed as
so, we established the relationship between the number of supervisors and number of unicorns.
Hence, the number of unicorns are 9 times the number of supervisors.
Step-by-step explanation:
when having an exponent of an exponent, the exponents are simply multiplied.
so, here we have 3/4 × 2/3 = (3×2)/(4×3) = 6/12 = 1/2
so, simplified, we have 5^(1/2).
now, a fraction as exponent indicates a root to be taken. which root is identified by the denominator of the fraction.
here this is 2 (of 1/2). so we need to take the square root.
therefore
is the right answer.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then
The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.
The hypotenuse can be found using Pythagoras Theorem.
3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are
and
4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,