Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Answer:
Step-by-step explanation:
erasers=e
pencils=p
3e+5p=7.55 ...(1)
6e+12p=17.40
divide by 2
3e+6p=8.70 ...(2)
(2)-(1) gives
p=8.70-7.55=1.15
from (1)
3e+5(1.15)=7.55
3e+5.75=7.55
3e=7.55-5.75
3e=1.80
e=1.80/3=0.60
cost of 1 eraser=$0.60
cost of 1 pencil =$1.15
Answer:
a=61
Step-by-step explanation:
3a-63=a+59
2a-63=59
2a=122
a=61
Answer:
Step-by-step explanation:
Given: Moises comes up to Juan and tells him, "I bet you $45 I can get more phone numbers than you!"
Moises gets 8 phone numbers that week
To find: an inequality that represents how many phone numbers Juan needs to not lose the bet.
Solution:
Amount of bet = $45
Number of calls that Moises get that week = 8
Moises wins a bet if he gets more phone numbers than Juan
Let 
denotes phone numbers that Juan get.
An inequality that represents how many phone numbers Juan needs to not lose the bet is
