Answer:
Perimeter = 36.84 ft
Area = = 64.26 ft²
Step-by-step explanation:
✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle
Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft
Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)
Circumference of the circle = πd
diameter (d) = 12 - (3 + 3) = 6 ft
π = 3.14
Circumference = 3.14*6
= 18.84 ft
✅Perimeter = 18 + 18.84 = 36.84 ft
✔️Area = area if the rectangle + area of the full circle
= L*W + πr²
L = 12 ft
W = 3 ft
π = 3.14
r = ½(6) = 3 ft
Plug in the values
Area = 12*3 + 3.14*3²
= 36 + 28.26
= 64.26 ft²
Volume
V = WhL
V = (50)(2)(1)
V = 100 cubic centimeters
Prove
m∠5+m∠2+m∠6=180°
we have that
m∠1+m∠2+m∠3=180° equation I
m∠1=m∠5 -------- > in<span>ternal alternate angles equation 2
</span>
and
m∠6=m∠3-------- > internal alternate angles equation 3
<span>I substitute equation 2 and equation 3 in equation I</span>
m∠1+m∠2+m∠3=180°-------- > m∠5+m∠2+m∠6=180°------- > is ok
Answer:
See below
Step-by-step explanation:
Part A: The expression would be (4x+5)(3x+10), or, when expanded, 12x^2+55x+50 since the area of a rectangle is length*width
Part B: The degree is 2 because it's classified as a quadratic and trinomial expression
Part C: The closure property of polynomials is that polynomials will be closed under an operation if the operation produces another polynomial. For example, since we had to multiply two binomials in Part A, the exponents of x get combined to make x^2 (because x^1*x^1=x^(1+1)=x^2)
