Answer:
Area = 74.1 square units
Step-by-step explanation:
Area of the composite figure = Area of the rectangle + Area of the semicircle
Area o the rectangle = Length × Width
= 10 × 6
= 60 square units
Area of the semicircle = 
Here, r = radius of the semicircle
For the semicircle with radius =
= 3 units
Area = 
= 4.5π
= 14.14 units²
Total area of the composite figure = 60 + 14.14
= 74.14 square units ≈ 74.1 square units
Answer:
y =
x+
Step-by-step explanation:
Okay, the first thing to do here is calculate something known as the "slope".
We know two points are ( 1 , 5 ) and ( − 2 , 3 )
The slope is represented by "m" in the standard form: y = mx+b
The slope is also known as the rise over the run, y2-y1/x2-x1 =
=
=> the standard form: y =
x+b
Now we have to use the slope, and resubstitute another point to get b
5 =
(1) + b
<=> b= 5-
=
So the equation that model the line is: y =
x+
<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>
total that play football = 40
30 of them play basket ball
the missing number is 40 - 30 = 10