Answer:
20in^2
Step-by-step explanation:
Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.
Answer:
<h2><em><u>
960 people </u></em></h2>
Step-by-step explanation:
If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².
Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²
If each person takes up 2.5ft², total number of people in the arena will be gotten by simply dividing the area of all the four sides by the area took up by each person.
Total number of people in the arena = area of all the four sides by the area/ area took up by each person.
Total number of people in the arena = 2400/2.5
Total number of people in the arena = 960 people.
<em><u></u></em>
<em><u>Hence there are approximately 960 people in the arena.</u></em>
Answer:
$57,369
Step-by-step explanation:
We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.
To solve our given problem we will use compound interest formula.\
, where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given rate in decimal form.
Upon substituting our given values in compound interest formula we will get,
Therefore, an amount of $57,369 will be in the account after 4 years.
Answer:
160/17 miles per gallon
Step-by-step explanation:
The typical rate of distance and gallons is distance per gallons, so divide the distance by the number of gallons.
(320 miles)/(34 gallons) = 160/17 miles per gallon
The rule, letting d=discriminant:
d>0, two real solutions
d=0, one real solution
d<0, no real solution (but there are two imaginary solutions)
So if it has only one real solution, the discriminant is equal to zero.
