Answer:
first one is 276
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
When you are adding a positive by a negative, simply subtract and take the sign of the larger number.
Answer:
the value of x is 85
Step-by-step explanation:
x+x+40+2x-20=360
4x=360-20
4x=340
x=340÷4
x=85
Given :
Square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units.
To Find :
The total area, in square units, of the four triangular faces of a right.
Solution :
We know, area of square based prism is given by :
Here, a is the length of square base and h is the height .
Therefore, total area in square units is 51.
The Pyth. Thm. applies here:
(√x + 1)^2 + (2√x)^2 = (2√x + 1 )^2
Expanding the squares:
x + 2sqrt(x) + 1 + 4x = 4x + 4sqrt(x) + 1
Let's subtract x + 2sqrt(x) + 1 + 4x from both sides:
4x + 4sqrt(x) + 1
-(x + 2sqrt(x) + 1 + 4x)
-------------------------------
3x + 2sqrt(x) - 4x = 0
Then 2sqrt(x) = x
Squaring both sides, 4x = x^2, or x^2 - 4x = 0. Then (x-4)x = 0, and the two possible solutions are 0 and 4.
Check these results by substitution. Does the Pyth. Thm. hold true for x=4?