[see picture link]Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Picture: https://us-static.z-dn.net/files/d30/9033549987fa60cf57fe05f71424f322.gif
You can consider the triangle (as on in the picture) and apply to it composition of two transformations:
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.
We know that
[the length of a circumference]=2*pi*r
for r= 4 units
[the length of a circumference]=2*pi*4--------------> 25.12 units
if a full circle (360°) has a length---------------------> 25.12 units
arc for an angle of 72 °---------------------------> X
X=72*25.12/360------------> 5.024 units
the answer is
<span>the length of the subtending arc for an angle of 72</span>° is 5.024 units
We know that
the law of cosines formulas established
c²=a²+b²-2*a*b*cos C-----> cos C=[a²+b²-c²]/[2*a*b]
a=11 m
b=12 m
c=16 m
so
cos C=[11²+12²-16²]/[2*11*12]---> cos C=0.0341
C=arc cos (0.0341)-------> C=88.05°
see the attached figure
the answer isthe angle is 88°
Answer:
The expression (2 x 3) + 13 - 1 on simplifying gives 18.
Step-by-step explanation:
Here, the outcome of the expression is 18.
Using at least three operations.
Here, we use three operations Addition = '+' , Subtraction = '-' and
Multiplication = 'X'
Take the number 2 and multiply it with other number 3.
We get 2 x 3 = 6
Take the product, add it with another number 13
So, 6+ 13= 19
Take the resultant and subtract 1 from it.
We get 19 - 1 = 18
⇒The combined expression is (2 x 3) + 13 - 1 = 18
The above expression on simplifying gives 18.