Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Answer:
10 and 7
Step-by-step explanation:
First you can list out numbers 1-10 and find thngs that equal 3 when subtracted. Then after you do that see if when you multiply y x 3 subtracted from x if it equals -11.
10-7 =3
10 - (7x3)
10 - 21
-11
Use 0 as the y value then solve for x. answer: 3
The question stated has some missing statement part and question part in it.
Missing Statement Part:
t <em>{weeks}</em> ⇔ G(t) <em>{games per week}</em>
0⇔160
3⇔450
6⇔900
10⇔2100
12⇔2400
Missing Question Part:
Approximate the value of G'(8) using the data in the table. Show the computation that leads to the answer.
Answer:
300 games/week²
Step by Step Explanation:
i.e. change in values of function G(t) divided by change in change in time (weeks).
