Answer:
C) 45 ft²
Step-by-step explanation:
<u>Formulae</u>
Area of a square = x² (where x is the side length)
Area of a triangle = 1/2 × base × height
The surface area of a square pyramid comprises:
- square base
- 4 congruent triangles
⇒ area of square base = 5² = 25 ft²
⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²
⇒ Total surface area = area of square base + 4 triangular areas
= 25 + 4(5)
= 25 + 20
= 45 ft²
There are different ways to construct an angle. The steps used in making a line segment are; First, you have to put the compass at one specific end of the line segment. Then you shift the compass slowly a little bit so it will be longer than half the length of the line segment. Then you have to draw arcs up and down the line. while using the same compass width, you then draw arcs from one specific end of the line. and thereafter you put your ruler at the point where the arcs cross, and you then draw the line segment. The difference is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in the construction of a line segment, there are differences in length. What is the construction process of Angles? This entails a good construction process in making angles. They are step-by-step processes used to produce detailed and exact geometric figures.
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Answer:
6x³ + 14x² + 6x - 12.
Step-by-step explanation:
Given:
(2x² + 6x + 6)(3x - 2)
Multiply each term in the first polynomial by both terms in the second:
3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =
6x³ + 18x² + 18x - 4x² - 12x -12 =
Combine like-terms:
6x³ + 14x² + 6x - 12.
Combine like terms the variables first. 4b-15b=-11b
-7+3=-4
-11b-4
