Into 3 parts meand sivided by 3 means times 1/3
1/6 divided into 3 parts means 1/6 times 1/3=1/18
1/18 was in each mound
A is answer
We can use the distance formula to calculate perimeter:
= Distance
From A to B: √232
From B to C: 10
From C to A: √52
10 + √232 + √52 = 10 + 2√58 + 2√13
Perimeter = 10 + 2√58 + 2√13 units
For Area we can use matrices, but since one of the sides is horizontal, we can just calculate with distance formula and area of triangle formula.
The area of a triangle formula is 1/2(h x b)
h=height
b=base
So the height is 6 and the base is 16. (I graphed it.)
16 * 6 = 96 96/2 = 48 Area: 48 square units.
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer: Correct me if I’m wrong but I think it’s 216 hours
Step-by-step explanation: every 24 hour you get 8 gallons so do 24 x 10 you get 240 hours and that gets you 80 gallons so you minus 8 gallons so take off 24 hours and you get your answer
Answer:
7.5 miles
Step-by-step explanation:
Given
- In cycling,He covered 9 miles in
hours,Therefore his avg cycling speed, u
- In second event, It took him
hours to complete,And his avg speed,v is 7
slower than in previous event
⇒v= u-7
v= 12-7
v=5
Distance covered in 1st event
Distance covered in 2nd event