Answer:
16 Units.
Step-by-step explanation:
Given:
THIS CASE ⇒ AC = BD
⇒ Substitute the values
2 (x - 3) = x + 5
⇒ Clear the value of x
2x - 6 = x + 5
2x - x = 5 + 6
x = 11
⇒ Substitute the value of x in any of the equations
11 + 5 = 16
⇒ Length of each diagonal is 16 units.
2x-12 represents "two times the quantity of a number minus 12"
Answer:
49.45
Step-by-step explanation:
because if u take 10.10 +20.15+19.20 = 49.45
Answer:
Step-by-step explanation:
<u>We know that</u>
- The diagonals of a rectangle are of equal length
- The diagonals bisect each other
<u>Considering the above we have:</u>
<u>Substitute the given values and solve for x:</u>
- 24x - 8 = 2*(8x + 4)
- 24x - 8 = 16x + 8
- 24x - 16x = 8 + 8
- 8x = 16
- x = 16/2
- x = 2
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²