To find the area of a building.
and to make a small farm
In triangle, ABD,
AD²= AB²+BD²
AB² = AD²-BD²
AB² = 18²-9² = 324-81 = 243
AB = √243
In triangle, ABC,
AC² = AB²+BC²
AC² = (√243)²+(13)²
AC² = 243+169
AC = √412
AC = 20.29
X + y = 19
10x + 4y = 100
This is a systems of equations.
Isolate x from the first equation:
x = 19 - y
Now, plug it into the second:
10(19 - y) + 4y = 100
190 - 10y + 4y = 100
-6y + 190 = 100
-6y = -90
y = 15
Plug y in and solve for x:
10x + 4(15) = 100
10x + 60 = 100
10x = 40
x = 4
There are four 10-point questions and fifteen 4-point questions.
Answer:
Stephen weighs 80 lbs
Graham weighs 60 lbs
Step-by-step explanation:
Let Stephen the cat = S
Let Graham the cat = G
25% heavier = 125% = 125/100 = 1.25
50% heavier = 150% = 150/100 = 1.5
If both animals gained 20 lbs, S would be 25% heavier than G:
S + 20 = 1.25(G + 20)
⇒ S = 1.25(G + 20) - 20
⇒ S = 1.25G + 5
If both animals lost 20 lbs, S would be 50% heavier than G:
S - 20 = 1.5(G - 20)
⇒ S = 1.5(G - 20) + 20
⇒ S = 1.5G - 10
Equate both equations for S, and solve for G:
S = S
⇒ 1.25G + 5 = 1.5G - 10
⇒ -0.25G = -15
⇒ G = 60
Substitute found value for G into one of the equations for S and solve for S:
S = 1.5G - 10
⇒ S = 1.5 x 60 - 10
⇒ S = 90 - 10
⇒ S = 80
Stephen weighs 80 lbs
Graham weighs 60 lbs
