Answer: 225
Step-by-step explanation:
Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height
Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3
Slot the values into the formula:
Volume = 1/3 × 17.3 x 39
= 1/3 × 674.7 = 674.7/3
Volume = 224.9 approximately 225.
I hope this helps.
Solution
The dimension of the rectangular floor is 18ft long and 12 ft wide
Using the conversion table
It is given that 1yd =3 ft
This shows that
12 feet will be equivalent to

Also 18ft will be equialent to

Therefore the new dimension is 6 yard by 4 yard
The area will be

Therefore the required area is
Length of line RS is probably 20 because it’s not smaller than the line it’s parallel to but it’s not equal either so the answer has to be c unless there’s a d that’s between 10-20
We have to present the number 41 as the sum of two squares of consecutive positive integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
16 + 25 = 41
<h3>Answer: 4 and 5</h3>
Other method:
n, n + 1 - two consecutive positive integers
The equation:
n² + (n + 1)² = 41 <em>use (a + b)² = a² + 2ab + b²</em>
n² + n² + 2(n)(1) + 1² = 41
2n² + 2n + 1 = 41 <em>subtract 41 from both sides</em>
2n² + 2n - 40 = 0 <em>divide both sides by 2</em>
n² + n - 20 = 0
n² + 5n - 4n - 20= 0
n(n + 5) - 4(n + 5) = 0
(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0
n = -5 < 0 ∨ n = 4 >0
n = 4
n + 1 = 4 + 1 = 5
<h3>Answer: 4 and 5.</h3>
Answer:
12
Step-by-step explanation:
We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

Using this, we can substitute, and get:

Hope it helps!!