Answer:
x = 2
Step-by-step explanation:
Assuming the figure is a rhombus, the diagonal divides the figure into two isosceles triangles. That means the marked angles are congruent:
7x² -8 = 6x² -2x
x² +2x -8 = 0 . . . . . . . subtract 6x²-2x
(x +4)(x -2) = 0 . . . . . factor
x = -4 or x = 2 . . . . . values of x that make the factors zero
The only value of x that makes sense in this problem is ...
x = 2
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<em>Additional comment</em>
We know the base angles of an isosceles triangle must be less than 90°. As the attached graph shows, the angle measures for x=-4 would both be 104°, an impossible situation for this geometry.
The image is missing so i have attached it.
Answer:
Volume = 1.5 litres
Step-by-step explanation:
Using pythagoras theorem, we can get the height (h) of the cylinder
14² + h² = 17²
h² = 289 - 196
h = √93
Now, volume of a cylinder is;
V = πr²h
In the image, r = diameter/2 = 14/2 = 7cm
Thus,
V = π × 7² × √93
V = 1485 cm³
Now, 1 litre = 1000 cm³
Thus, volume = 1485/1000 = 1.485 litres ≈ 1.5 litres
