Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
Answer:
A and C
Step-by-step explanation:
Let Triangle ABC is a right angle traingle.
From Option A
AB= 24, BC= 26 and AC=10
By Pythagorean Triplet
(AB)^2 + (AC)^2 = (24)^2 + (10)^2
= 576+100
(AB)^2 + (AC)^2 = 676 ---------------- (I)
(BC)^2 = 26^2 = 676 -------------------(ii)
From (I) and (ii)
(BC)^2 = (AB)^2 + (AC)^2
Therefore, the sides 10,24 and 26 are the sides of the right angle triangle.
From Option C
AB= 18, BC= 30 and AC=24
By Pythagorean Triplet
(AB)^2 + (AC)^2 = (18)^2 + (24)^2
= 324+576
(AB)^2 + (AC)^2 = 900---------------- (I)
(BC)^2 = 30^2 = 900 -------------------(ii)
From (I) and (ii)
(BC)^2 = (AB)^2 + (AC)^2
Therefore, the sides 18, 24 and 30 are the sides of the right angle triangle.
Answer:
C) The volume of the prism is equal to the volume of the cylinder.
Step-by-step explanation:
volume of triangular prism = area of base × height
volume of cylinder = area of base × height
The cross sectional area are equal, so the bases have the same area.
The heights are also equal.
The volumes must be equal.
Answer: C) The volume of the prism is equal to the volume of the cylinder.
Answer:
Area of room = 21 * 16
= 336 m²
Area of Carpet = (21 - 1)* (16-1)
= 20*15
= 300
Area of border = Area of room - Area of carpet
= 336 - 300
<h3>= 36 m².</h3>