Answer:
=12 units
Step-by-step explanation:
When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.
Therefore, the Pythagoras theorem is used to find the hypotenuse.
a² + b² = c²
(6√2)²+(6√2)²=c²
72+72=c²
c²=144
c=√144
=12
The diagonals of the square measure 12 units each.
Answer:
37.20 %
Step-by-step explanation:
Circumference = 2 × pi × r
30 = 2 × 3.14 × r
r = 4.7770700637
Area of her face = pi × r²
3.14 × 4.7770700637²
= 71.6560509556 in²
Area of the mask = 9 × 5 = 45 in²
Uncovered area
= 71.6560509556 - 45
= 26.6560509556 units²
% of uncovered area:
26.6560509556/71.6560509556 × 100
37.2%
Answer:
32, consecutive interior angles are supplementary.
Step-by-step explanation:
We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.
2x + 3x + 20 = 180
Now let's add like terms.
5x + 20 = 180
Now let's subtract 20 from both sides.
5x = 160
Now let's divide both sides by 5.
x = 32
Yes it is, if you look on a number line, the -34 is farther left than the -9
-3 = 9C/5 + 32
9C/5 = - 32 - 3
9C/5 = - 35
9C = - 175
C = -175/9
C = - 19.44
