Answer:
<h2> 55.10min </h2>
Step-by-step explanation:
This problem is on the mensuration of flat shapes.
given that the initial radius before Cody alerted the fire department is
10 ft
Then we can calculate the area of the fire as
Area= πr^2
Area=3.142*(10)^2
Area=3.142*100
Area=314.2ft^2
Also, given that the area of the circular fire has grown to 45401 square feet
let us solve for the radius first, then we can calculate the time taken since the radius was increasing by 2 ft/min
let the radius of the large fire be R
45401=πR^2
R^2=45401/3.142
R^2=14449.714
square both sides we have
R=√14449.714
R=120.2ft
The difference between the radius of the initial fire and the large fire is
R-r=120.2-10
=110.2ft
Hence the time taken can be calculated as
time= 110.2/2
time=55.10min
she will have to pay $61875 of interest at the end of the 15 years.
in total she would have to pay $211875
Answer:
for number 4 the answer is 32 in (please read below)
Step-by-step explanation:
I will do one of them for now... how about number 4.
Similar triangles means we are going to setup a proportion:
Small triangle Big Triangle
Corresponding 12 15
Corresponding x 40
So the proportion is 12/x=15/40
cross multiply
12(40)=15(x)
Divide both sides by 15
giving x=12(40)/15=32
Try number 1... And I will check it for you (just post as a new question-I will be looking for it)
3(-y+2)+2y=12
-3y+6+2y=12
-y +6 = 12
-y = 6
y= -6
x = 6 + 2 = 8
(8, -6)
Answer:
c. although set a, is a proper function, with y being the function of x, c is the answer.