Answer:
10.31 ft
Step-by-step explanation:
the base is 25 ft²
leaves 100 ft² for the 4 sides on top
so each triangle got 25ft²
the base length of the triangle is 5ft, bc it's the base length of the pyramid
so the height of the triangle is 10ft,
bc only then do we get a surface area of 25ft²
(b * h /2) for the triangle
now that we got base length and height,
let's look for the slant
we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.
leaving us with 10ft (height) and 2.5ft
slant² = 10² + 2.5²
slant² = 106.25
slant = sqrt(106.25)
slant = 10.31
Step-by-step explanation:
a-2=3+6a/3
By cross multiply
3(a-2)=3+6a
3a-6=3+6a
-6-3=6a-3a
-9=3a
a=-3
Answer:
Step-by-step explanation:
The equations of the system are
From the graph it can be seen that points 
and 
falls in the bounded region.
The income will be
So, the person can do 3 small jobs and build 1 and a half cabinets per day.
The maximum income will be .
Answer:
Subtract 21 from the left side and add 21 to the right side of the equation.
The answer is b = 198.
Check the solution by substituting 198 for b.
Step-by-step explanation:
Answer:
y - 4 = 5(x - 7) or y = 5x - 31
Step-by-step explanation:
Slope-intercept form: <em>y = mx + b</em> (m = slope, b = y-intercept)
Point-slope form: <em>y - y₁ = m(x - x₁)</em> ((x₁, y₁) = known point, m = slope)
1. Slope: perpendicular to -1/5 --> 5 (negative reciprocal)
2. Insert knowns into equation: y - 4 = 5(x - 7)
3. Turn into point-slope form (assuming that is what we are looking for):
Multiply: <em>y - 4 = 5x - 35</em>
Subtract: y = 5x - 31
