Original height of tree = (x+5) m
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m
Answer:
The surface area of the right regular hexagonal pyramid is 50.78 cm².
Step-by-step explanation:
Given:
A right regular hexagonal pyramid with sides(s) 2 cm and slant height(h) 5 cm.
Now, to find the surface area(SA) of the right regular hexagonal pyramid.
So, we find the area of the base(b) first:
Area of the base = ![\sqrt[3]{3}\times s^{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%7D%5Ctimes%20s%5E%7B2%7D)
= ![\sqrt[3]{3}\times 2^{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%7D%5Ctimes%202%5E%7B2%7D)
On solving we get:
Area of the base(b) = 
Then, we find the perimeter(p) :
Perimeter = s × 6
Now, putting the formula for getting the surface area:
Surface area = perimeter × height/2 + Area of the base.
As, <em>the surface area is 50.784 and rounding to nearest hundredth becomes 50.78 because in hundredth place it is 8 and in thousandth place it is 4 so rounding to it become 50.78.</em>
Therefore, the surface area of the right regular hexagonal pyramid is 50.78 cm².
Answer:
goals scored is 15
Step-by-step explanation:
As 60 goals scored in total and goaladinho scored a quarter of them so 60÷4=15
Answer:
The correct option is;
C. (1.6, 1.3)
Step-by-step explanation:
Given that at x = 1.5 the y-values of both equations are y = 1.5 and y = 1 respectively
The x-value > The y-value
The difference in the y-values = 1.5 - 1 = 0.5
At x = 1.6 the y-values of both equations are y = 1.2 and y = 1.4 respectively
The x-value > The y-value
The difference in the y-values = 1.2 - 1.4 = -0.2
At x = 1.7 the y-values of both equations are y = 0.9 and y = 1.8 respectively
The x-value > The first y-value and the x-value < the second y-value
The difference in the y-values = 0.9 - 1.8 = 0.9
Therefore, the approximate y-value can be found by taking the average of both y-values when x = 1.6 where the difference in the y-values is least as follows;
Average y-value at x = 1.6 = (1.2 + 1.4)/2 = 1.3
Therefore, the best approximation of the exact solution is (1.6, 1.3)
By calculation, we have;
-3·x + 6 = 4·x - 5
∴ 7·x = 11
x = 11/7 ≈ 1.57
y = 4 × 11/7 - 5 ≈ 1.29
The solution is (1.57, 1.29)
Answer:
11
Step-by-step explanation:
1/2 times 2³=4
+7=11
