We have to simplify the given expression:
Dividing the terms of the numerator by the given term of denominator individually, we get
= 
By using the laws of exponent, 
, we get
= 
= 
= 
= 
Therefore, the simplification of the given expression is .
So, Option 3 is the correct answer.
I'm assuming the deck is the shaded area.
To find the area of the deck, find the area of the large circle and subtract the area of the small circle from it:
A of large circle: R = (4.2/2) + 1.7 = 3.8; area: 3.8^2 * pi is about 45.3.
A of small circle: r = 4.2/2 = 2.1; area: 2.1^2 * pi is about 13.8
Now, subtract:
45.3 - 13.8 = 31.5 meters squared
Answer:
2
Step-by-step explanation:
Answer:
Domain {-2,0,2}
Range {-2,0,2}
Relation is a Function
Step-by-step explanation:
We are given a relation:
{ (-2,-2) , (0,0) , (2,2) }
Domain can be defined as the all possible values of x for a relation. It is considered as a set of all first values of the ordered pairs of a given relation.
Domain of the given relation is {-2,0,2}
Range can be defined as all possible value of y which corresponds to the values of x in the domain. It is considered as a set of all second values of the ordered pairs of a given relation.
Range of the given relation is {-2,0,2}
A relation is a function if only there is one value of y for each value of x. If in the set of ordered pair of the relation, the value of x gets repeated, then the relation is not a function.
As no values of x are getting repeated, the relation is a function.
Answer:
Part A: 272 teenagers surveyed like hard rock.
Part B: 200 is the total number of teenagers that Damian surveyed.
Part C: Polly surveyed 850 teenagers to find out their favorite type of music. She found that 132% of the teenagers surveyed like hard rock.
Step-by-step explanation:
Part A: % = 1/100, 32% = 32/100, so 32% of 850 is
32/100 x 850 = 272.
Part B: if Total is T, then 75% of T is = 150, i.e,
75/100 x T = 150, making T subject of relation, then T, Total = 200.
