Answer:
Exact area: 39.2π cm²
Approximate area: 123.2 cm²
Step-by-step explanation:
The area of a circle is πr².
A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.
The formula for the area of a sector of circle with central angle n° and radius r is
A = (n°)/(360°) × πr²
Here we have n = 72; r = 14 cm
A = (n°)/(360°) × πr²
A = (72°)/(360°) × π × (14 cm)²
A = 39.2π cm² = 123.2 cm²
Answer:
31.25
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.
Answer:
Mr. Mole is descending by 2.4 meters per minute
Step-by-step explanation:
Let
x ----> the time in minutes
y ---> the distance in meters
we know that
In this problem the rate of change or slope is the same that the speed
The formula to calculate the slope between two points is equal to

take two points from the table
(5,-18) and (8,-25.2)
substitute the values in the formula

---> is negative because is descending
Let L = lengthLet W = width Length is 5 yd less than twice the width ==> L = 2*W - 5 Area is 52 yd^2 ==> 52 = L*W Substitute the value for L from the 1st equation into the 2nd equation
52 = (2*W - 5) * W52 = 2*W^2 - 5*W0 = 2*W^2 - 5*W - 52 0 = (2W - 13)*(W + 4) 2W - 13 = 0 or W + 4 = 0W = 13/2 or W = -4 Width cannot be negative so discard W = -4 W = 13/2 ==> L = 2*(13/2) - 5 = 13 - 5 = 8 So the width is 13/2 yards and the length is 8 yards Check: 2*(13/2) - 5 = 13 - 5 = 8 (13/2)*8 = 4*13 = 52 yd^2