2.5*36=90 inches
Alex need 90 inches of fabric to make a costume for homecoming.
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
Answer:
It will take 7 years ( approx )
Step-by-step explanation:
Given equation that shows the amount of the substance after t years,

Where,
= Initial amount of the substance,
If the half life of the substance is 19 years,
Then if t = 19, amount of the substance =
,
i.e.



Taking ln both sides,



Now, if the substance to decay to 78% of its original amount,
Then 


Again taking ln both sides,



Hence, approximately the substance would be 78% of its initial value after 7 years.
Answer:
{(-1, 8), (0, 5), (2, -1), (3, -4)}
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Answer:
$70.88
Step-by-step explanation:
To find sales tax, multiply the price by the percentage as a decimal.
$67.50 67.50(0.05) = $3.38
Since sales tax is 5%, its decimal equivalent is 0.05 and for the price of $67.50 you pay $3.38.
The total amount paid is the price added to the sales tax.
$67.50 + 3.38 = $70.88
Repeat these steps for each price in the sales amount column.