Answer:
216 cm²
Step-by-step explanation:
Applying,
V = lwh..................... Equation 1
Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.
From the question,
Since the base of the cubiod is squared,
Therefore,
w = l = 4 cm, V = 400 cm³
Substitute these values into equation 1
400 = 4×4×h
h = 400/(4×4)
h = 25 cm
A = lw+lh+wh.................. Equation 1
Where A = surface area of the cuboid.
Given: l = 4 cm. w = 4 cm, h = 25 cm
Substitute these values into equation 1
A = (4×4)+(4×25)+(4×25)
A = 16+100+100
A = 216 cm²
Answer:
<u>8(n + 3) = 9</u>
Step-by-step explanation:
8
∨ × → ( n + 3) = 9
Eight times the sum of a number and 3 is 9
--------------------------------------------------------------------------------
8(n + 3) = 9
Divide both sides by 8.5 to get b on its own
68/8.5 = 8
So b = 8
Answer:
Step-by-step explanation:

Answer:
<h2>The lifeboat has coordinates (5,10).</h2>
Step-by-step explanation:
The equation
represents the light beam from Ship A, which has coordinates
.
The equation
represents the light beam from Ship B, which has coordinates
.
This problem models a system of linear equations, because we need to find the coordinates of the lifeboat, which is a common points for both ships. So, basically, we just need to find the solution for the system formed by both equations.

We multiply the first equation by -1, and then sum


Now, we use this value to find the other one

Therefore, the lifeboat has coordinates (5,10).
The image attached shows the solution graphically.