ANSWER
36 cubic inches.
EXPLANATION
The volume of a square pyramid is calculated using the formula:
where l² is the area of the base and h= 6 inches is the height of the square pyramid.
We substitute the values into the formula to get,
We simplify to get:
Therefore the volume of the square pyramid is 36 cubic inches.
The last digit will simply be equal to 8^1000, since the 10 will not have any effect on the units digit. Take the first few powers of 8, examining only the last digit:
8^1=8
8^2=4
8^3=2
8^4=6
8^5=8
8^6=4
We see that it continues in this pattern. Powers evenly divisible by 4, therefore, end in 6. Since 1000 is divisible by 4, 8^1000 ends in 6, so 18^1000 also ends in 6.
The set {−1,0,1} is closed under multiplication
Answer:
7 seconds
Step-by-step explanation:
y=-16t²+96t+112, where t is time and y is distance above water.
We are looking for t when y=0
-16t²+96t+112=0
t²-6t-7=0
(t-7)(t+1)=0
Either t=7 or t=-1.
Since we cant have negative time, the answer is t=7
Answer:
x=3.4 y=-5.8 (the steps are in order and I explained to the best of my ability)
Step-by-step explanation:
x+3y=-14 substitute the x for -14-3y in the second problem
x=-14-3y 2(-14-3y)-4y=30
-28-6y-4y=30
-10y=58
y=-5.8
substitute the y in the first equation for -5.8
x+3(-5.8)=-14
x-17.4=-14
x=3.4
