Lara found the volume of a sphere with a diameter of 10. V = 4
3
π(103)

1. V = 4
3
π(1000)

2. V = 4000
3
πunits3

Analyze Lara’s work. Is she correct? If not, what was her mistake?
Yes, she is correct.
No, she used the diameter instead of the radius measure.
No, she should have multiplied 4 and 10 first before applying the exponent.
No, her units should be squared for volume.

answer: f true

step-by-step explanation:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!