Answer:
perimeter = 44.05 yd
area = 164.25 yd^2
Step-by-step explanation:
The figure is shaped like a trapezoid with a semicircle.
Perimeter:
We add the lengths of the three sides of the trapezoid and the circumference of the semicircle.
perimeter = 15 + 11.2 + 10 + 0.5 * 3.14 * 5
perimeter = 44.05 yd
Area:
We find the area of the trapezoid and add to it the area of the half circle.
area = 0.5(10)(10 + 15) + 0.5(3.14)(5^2)
area = 164.25 yd^2
864mm2 you multiply to fins SA of 1 them multiply total squares
<span>
Solving:
1)
-58 - 6x = 42 + 4x
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100
</span>


<span>
2)
37 + 5x = -2x - 33
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>5x + 2x = - 33 - 37
7x = - 70
</span>


<span>
3)
27 - 9x = -6x - 39
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66

Answer:

Step-by-step explanation:
We know i×i=i^2 which has value of -1.
We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).
Also multiplying by i/i does not change the value of the fraction because i/i=1.
Numerator × i gives (-5+i)i=-5i+i^2=-5i-1
=-1-5i.
Denominator × i gives (2i)i=2i^2=-2.
So the simplified version of this fraction given is:

The last simplification come from me multiplying fraction by -1/-1.
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.