The are of the purple figure is 18 square units.
Step-by-step explanation:
Just count the number of squares of the purple units. Flr the incomplete squares, find the corresponding incomplete square and count them as 1.
Take the natural log of both sides
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer:
The least possible quotient is 125.
Step-by-step explanation:
To do this we need to find the greatest 2 digit factor of 10,000.
10,000 = 2*2*2*2*5*5*5*5
So the greatest 2 digit number which will divide exactly into 10,000 is
= 2*2*2*2*5
= 80.
This will give the smallest quotient: 10,000 / 80 = 125.
To determine the volume of the rhombus, we use the equation,
V = Bh
where B is the area of the base and h is the height.
For rhombus, the area is calculated through the equation,
B = D₁D₂/2
Substituting,
B = (6)(8) / 2 = 24 units squared
Volume calculation:
V = (24)(16) = 384 units cubed
Answer:
$31.80
Step-by-step explanation:
