Answer:
288 cubic cm
Step-by-step explanation:
Volume of the pyramid = 1/3 * base area * height
Base area = 12 * 12
Base area - 144 sq. cm
Height = 6cm
Volume of the pyramid = 144 * 6/3
Volume of the pyramid = 144 * 2
Volume of the pyramid = 288 cubic cm
Which relation is a function? Question 3 options: {(1, 2); (1, 3); (1, 4); (1, 5)} {(1, 2); (2, 3); (3, 4); (4, 5)} {(1, 2); (3,
NeTakaya
To be a function for every identical x value it has to have a different Y value. If the set has two identical X values but they have different Y values it can't be a function.
The set that is a function is:
{(1, 2); (2, 3); (3, 4); (4, 5)}
You need 12000 kernals. 1-liter is equal to (10cm)^3. If four kernels fill 1cm^3, it takes 4*1000 kernels to fill one liter. Therefore, to fill a 3-l soft drink bottle, it takes 3*4*1000=12000 kernels.
when rounding numbers: if it's four or less, you round down. if it's five or more, you round up. 9 is bigger than 4, so the nearest whole number is 830.
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
