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
Answer:
c
Step-by-step explanation:
Answer:
Inductive conclusion has been proved to be correct.
Step-by-step explanation:
From the question, we have seen that 3 + 5 = 8
3 and 5 are odd numbers while 8 is an even number.
Which means that the sum of both odd numbers gave and even number.
In the second case, we see that;
13 + 5 = 18
Again,13 and 5 are both odd numbers while 18 is an even number.
Now, Inductive Reasoning is a reasoning that is based on patterns one has observed which would be used to derive a general conclusion. In this question, the pattern observed is that the sum of odd numbers in both cases are equal to an even number.
Thus, we will arrive at a conjecture which is the general conclusion that the sum of 2 odd number is equal to an even number.
9514 1404 393
Answer:
40 ft
Step-by-step explanation:
The post is 8/12 = 2/3 as tall as the shadow is long. We expect the same relationship holds for the tree.
tree height = (2/3)(shadow length) = (2/3)(60 ft) = 40 ft
The tree is 40 feet tall.
Y=x^2-6x+9=(x-3)^2. Setting this to 0, (x-3)^2=0. x=3 is the only root.
