Answer: 28 feet.
Step-by-step explanation:
Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.
The total depth of the lake = 32 feet
Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim=
Since, 
therefore, 
Hence, the fish swim 28 feet in lake.
Answer:
length is 7.5 and width is 4.5
Step-by-step explanation:
Its given that perimeter of the triangle is 24 units.
The condition is that length is 3 units more than the width.
l=w+3;
Formula for perimeter is 2(l+w).
so ,
2(w+w+3)=24,
2w+3=12,
w=4.5,
l=w+3=7.5
Hence for the given conditions length is 7.5 and width is 4.5.
A liter is 0.264 gallons so 13 * 0.264 = 3.432 and round it up it is 3.4
Answer: B (the lower one)
Step-by-step explanation:
First let's solve for y.
x + 2y = 4
2y = -x + 4
y = -1/2x + 2
It is B since the y intercept for that graph is 2.
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
