Answer: 25.12 inches
Step-by-step explanation:
We know that the circumference of a circle is given by -
, where d = diameter of the circle.
Given : The circular base of a desk lamp has a diameter of 8 inches.
Then, the circumference of the lamp base is given by :-
Substitute
, we get

Hence, the lamp bases circumference= 25.12 inches
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Answer:
24
Step-by-step explanation:
24 cubes. Reasoning varies. Sample reasoning: The length of the box
can fit or 5/4 : 5/12 =3 cubes. The width of the box can fit or 5/3 : 5/12 = 4 cubes. The height of the box can fit 5/6 : 5/12 = 2 cubes. The box can fit
or 24 cubes.
1st day = 1/12
2nd day = 2/12
3rd day = 3/12
4th day = 4/12
5th day = 5/12
6th day would be = 6/12
If it continues in that order, the sum of the walks would total 1 mile when:
They all add up to 12/12
Add = 1/12 + 2/12 + 3/12 + 4/12 = 10/12
That is still not up to 12/12
So we add up the 5th day also = 10/12 + 5/12 = 15/12 = 1 3/12 miles
So on the 5th day the sum of his walks total at least 1 completed mile.
At least 1 means 1 and above. As you can see the answer we got 1 3/12 is already more than 1.
Answer:
A = $745.9 (to the nearest cent)
Explanation:
the formula of the continuous compound interest is given as:
A = P * e^(rt)
where:
A is the final amount we want to find
P is the amount invested = $500
r is the interest rate (expressed in decimal) = 5% = 0.05
t is the time in years = 8 years
Substitute with the givens in the above equation to get the amount after 8 years as follows:
A = P * e^(rt)
A = 500 * e^(0.05*8)
A = $745.9 (to the nearest cent)
Hope this helps :)