Step-by-step explanation:
pythagoras theorem: c²=a²+b²
Where c= longest side of a right angle triangle
AB= 6+r = c
AD= 12 =a
CD= r =b
(6+r)² = 12²+ r²
36+12r+r² =144 +r²
12r+r²-r²=144-36
12r=108
r= 108/12
r=9
Answer:
Model A is 9
Model B is 5
Step-by-step explanation:
At Lisa's printing Company LLC there are two kinds of printing presses model.
Let x = the number of model A printing press.
Let y = the number of the model B printing press.
model A can print 70 bucks per day and model B can print 55 bucks per day.
The total number of both models prints 905 bucks per day.
This means
70x + 55y = 905 - - - - - - - - -1
The company owns 14 total printing presses. This means
x + y = 14 - - - - - - - - - -2
x = 14-y
Put x = 14-y in equation 1
70(14-y) + 55y = 905
980 -70y + 55y = 905
-15y = 905-980= -75
y = -75 / -15= 5
x = 14-y = 14-5
= 9
Yes because I just took the test
Answer:
Laura and Erica will both have made 16 blankets in one more day.
Step-by-step explanation:
i) Erica has made 10 blankets already.
ii) Erica can make 6 blankets more per day
iii) Laura has completed 6 blankets already
iv) Laura can complete 10 more blankets per day.
v) Let x be the number of days to the point when they will have completed the same number of blankets
vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days
vi) therefore 10 + 6x = 6 + 10x ⇒ 4x = 4 ⇒ x = 1 day
vii) Therefore Laura and Erica will both have made 16 blankets in one more day.
