Answer:
x = 45
y = 45
z = 11.1
Step-by-step explanation:
Remark
The triangle is a right triangle. That means that it has 1 right angle.
It is also isosceles which means that the two legs that are not the hypotenuse are equal.
Result: z and 11.1 are equal z = 11.1
More remark
If the triangle is isosceles, that means that the angles that are not right angles must also be equal.
90 + x + y = 180
but x = y
90 + 2x = 180 Subtract 90
2x = 180 - 90 Divide by 2
2x/2 = 90/2
x = 45
Answer:
x = {9, -3}
Step-by-step explanation:
- 2| x-3| - 5 = 7
- 2| x-3| = 12
- | x-3| = 6
- x - 3 = ± 6
- ⇒ x= 3+ 6= 9
- ⇒ x= 3 - 6= -3
Or it can be shown as:
Answer:
<u><em>13.896 kg</em></u>
Step-by-step explanation:
Volume of Gold Bar = Area of [Trapezium x Length of Bar]
Length of Bar = 16 cm
Area of Trapezium = 2 × Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²
2 × Area of Triangle = 2 × 7.5 = 15 cm²
Area of Rectangle = 6 × 5 = 30 cm²
Area of Trapezium = 15 + 30 = 45 cm²
Volume of Gold Bar = 45 × 16 = 720 cm³
Density of Gold = 19.3 g/cm³
Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg
Mass of Gold Bar = 13.896 kg
Therefore the <u>mass</u> of the Gold Bar is: <em><u>13.896 kg</u></em> (kilograms).
Answer:
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