Answer:
A = 57.97 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A =
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6.2, a = 10.8 and b = 7.9, thus
A =
× 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²
Answer:

Step-by-step explanation:
Write the terms of numerator and denominator using a common denominator.

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.
So, for the first function, you have

The name of the variable is obviously irrelelvant, so the same goes for the second function:

Answer:
Radius of the circle is <em>15 inches.</em>
<em></em>
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:

where
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:


We know that 
Converting
to radians:
radians
Putting the values of
and
to find the value of 

Hence, Radius of the circle is <em>15 inches.</em>
A^2 + b^ = c^2
c is the longest side of the triangle
a and b are the other two sides
So the given are the hypotenuse leg, and one of the other legs
So
a= ?
b= 12
c= 14
a^2+12^2=14^2
a^2+144=196
-144 -144
a^2=52
So we find the square root of 52
Which is 7.211 which you can round to 7.21 or 7.2