Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
Answer:
6.0520
Step-by-step explanation:
Given that:
Mean = 5.85
Standard deviation = 0.24
Let N denote the 80th percentile.
P(X < N) = 0.8

Using the Excel formula: = NORM.INV(0.8,5.85,0.24)
The 80th percentile for the diameters of mandarin oranges:
= 6.0520 (to 4 decimal place)