what is (a) the lateral area and (b) the total surface area of a regular square pyramid with the length of each edge equal to 6?
1 answer:
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Answer:
Step-by-step explanation:
When any number has a negative exponent, all the negative exponent is doing is flipping the sides.
When we plug -3 in for x we get .
Now just imagine the -3 in fraction form as . And all you do now is just flip the sides to get
And now apply the exponent 2 to the 1 and negative 3.
1 to the power of 2 is just 1
-3 to the power of 2 is 9.
So your answer is
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.