Answer:
10
Step-by-step explanation:
<u>We can show this as:</u>
<u>Since </u>
<u>Then</u>
The closest number in the list is 10 as all the rest are greater than 10
Second choice is the correct one
Answer:
its the last choice
Step-by-step explanation:
The complete question in the attached figure
we know that
area each pasture=15000 ft²
area each pasture=x*y
so
15000=x*y-----> equation 1
perimeter two rectangular pastures=1050 ft
perimeter two rectangular pastures=2*[2x+y]+y----> 4x+2y+y---> 4x+3y
so
1050=4x+3y----> divide by 3----> 1050/3=(4/3)x+y
clear variable y
y=350-(4/3)x-----> equation 2
the answer part a) y=350-(4/3)x------> <span>
it was proved</span>
Part b)Find the possible lengths and widths of each pasture.
substitute equation 2 in equation 1
15000=x*y-----> 15000=x*[350-(4/3)x]
15000=350x-(4/3)x²----> multiply by 3----> 45000=1050x-4x²
4x²-1050x+45000=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=53.942 ft
x=208.558 ft
15000=x*y-----> y=15000/x
for x=53.94 ft
y=278.09 ft
for x=208.56 ft
y=71.92 ft
the possible lengths and widths of each pasture are
case 1
x=53.94 ft
y=278.09 ft
case 2
x=208.56 ft
y=71.92 ft
Answer:
2/5
Step-by-step explanation:
Given in the question,
Total number of cereal box = 50
number of cereal box which have blue rings = 15
number of cereal box which have yellow rings = 5
Probability = favorable outcome / total number of outcome
Probability = (15+5) / 50
Probability = 20 / 50
Probability = 2/5
The wingspan is 36 m.
Using a proportion to solve this, we write the scale factor as a ratio first: 19/38, since 19 is the size of the model's length and 38 is the real length. For the second ratio, we have 18 for the size of the model wingspan and x for the real wingspan:
19/38 = 18/x
Cross multiply:
19*x = 38*18
19x = 684
Divide both sides by 19:
19x/19 = 684/19
x = 36 m