Answer:
Step-by-step explanation:
4) Angles opposite to equal sides are equal
45 + 45 + x = 180 {Angle sum property}
90 +x = 180 {Subtract 90 from both sides}
x = 180 - 90
x = 90
120 +y + y = 180 {Angle sum property}
120 +2y = 180 {Subtract 120 from both sides
2y =180 - 120
2y = 60 {Divide both sides by 2}
y = 60/2
y = 30
5)All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
4x = 60
x = 60/4
x = 15
y = 60 +60 {Exterior of triangle equal sum of opposite interior angles}
y = 120
6) All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
y - 10 = 60 {add 10 to both side}
y = 60 + 10
y = 70
x + 5 = 60 {Subtract 5 from both sides}
x = 60 - 5
x = 55
Heterogeneous and homogeneous
Answer:
Step-by-step explanation: this problem will result in difference of two squares.
Firstly since they are both areas, it will be area of the bigger square minus area of the smaller squares.
52² - 32²= (52+32)(52-32)
= (84)(20)
=1680inch².
Therefore the area of the material that will remain uncovered will be
1680inches²
Answer:
0.333
units³
Step-by-step explanation:
Think process:
The equation is given as y = 
Let, y = f (x)
Therefore, 
We know that the limits are y-axis and x= 3
Y-axis: x= 0
then limits are given as x= 0 and x = 3
Integrating gives:
=
+ C
calculating from x= 0 to x = 3, we know volume is given by 
=
[
]
=
[0.000041136 + 1/3]
= 0.333
units³
Answer:
Man wf
Step-by-step explanation: