Answer:
-3, 8
Step-by-step explanation:
-x² + 5x + 24 = 0
-x² + 8x - 3x + 24 = 0
-x(x - 8) - 3(x - 8) = 0
(-x - 3)(x - 8) = 0
x = -3 , 8
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
<h3>In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. </h3>
Faces: 2+ n
Edges: 3n
Vertices: 2n
Symmetry group: Dnh,, (*n22), order 4n
Dual polyhedron: convex dual-uniform n-gonal bipyramid
Conway polyhedron notation: Pn
Rotation group: Dn,+, (n22), order 2n
<h3>formula :- The base area of a rectangular prism formula = base length x base width. The base area of a triangular prism formula = ½ x apothem length x base length. The base area of a pentagonal prism formula = 5/2 x apothem length x base length. The base area of a hexagonal prism formula = 3 x apothem length x base length.</h3>
Answer:
1/40
Step-by-step explanation:
<h3 />
Answer:
x = 83°
Step-by-step explanation:
41, 56 and the missing angle = 180° ( form a straight angle )
missing angle = 180° - (41 + 56)° = 180° - 97° = 83°
The angle x and the missing angle are vertically opposite and congruent
Hence x = 83°
