Answer:
The number of square tiles required to cover the bathroom floor is approximately 31.
Step-by-step explanation:
The dimensions of the rectangular floor of the bathroom are:
Length = 10.5 ft.
Breadth = 6.5 ft.
The dimensions of the square tiles are:
Side = 1.5 ft.
The area of the rectangular floor of the bathroom is:
The area of 1 square tile:
The number of tiles required to cover the bathroom floor is:
Thus, the number of square tiles required to cover the bathroom floor is approximately 31.
Answer:
the answer is c
Step-by-step explanation:
24 - 6 = 18 ÷ 6 =3
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
When multiplying an odd number of factors,, then that means they will equal a negative. This rule will make this expression change to the following:
-
x × 5y × 2x
Now reduce the numbers with 5
-2xy × 2x
Lastly,, calculate the product to get your final answer
-4x²y
This means that your coefficient is -4 and the simplified version of your expression is -4x²y.
Let me know if you have any further questions
:)
Answer:
40 feet
Step-by-step explanation:
Required:
Find the length of Samson's shadow
The question can be illustrated with the attached figure where Samson's shadow is represented with x.
To solve for x, we make use of the following equivalent ratios:
Convert to fraction
Cross Multiply
Make x the subject
<em>Hence, Samson's shadow is 40ft</em>
