Answer:
A = x^2 + 5x - 14
Step-by-step explanation:
A = L × W
A = (x+7) × (x-2)
A = x^2 + 7x - 2x - 14
Given:
Right triangle A: Base = 2 inches and Height = 7 inches.
Right triangle B: Base = 10 inches and Height = 35 inches.
To find:
The scale factor applied to Right triangle A to produce Right triangle B.
Solution:
We have,
Base of right triangle A = 2 inches
Base of right triangle B = 10 inches
Now,
Therefore, the scale factor of 5 applied to Right triangle A to produce Right triangle B.
Answer:V(t) = C·(0.5)t
Step-by-step explanation:
V(t) = computer's value at year t = 600
C = initial cost = 2100
t = years
Answer:
Step-by-step explanation:
The area of a full circle is
A full circle has a central angle of 360 degrees.
The area of a sector is a fraction of the area of a full circle and is proportional to the central angle of the sector.
For a sector:
where n = central angle of sector.
Here you have a radius of 10 and a central angle of 120 deg.
PART A
alligators:
x = total number of alligators
n = number of years
x=20*1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
PART B
alligators
x=20*1.25^4 = 48.82 round up to 49
crocodiles 25 +10(2) = 25+20 = 45
Part C
7 years
20(1.25^n)=25+10n
1.25^n=1.25+0.5n
n=7
check:
alligators 20+1.25^7 = 95.36
crocodiles = 25+10(7) = 95