Answer:
1.
; 2. 
Step-by-step explanation:
Step 1. Calculate the area of the floor
If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.
The side length l of the actual floor is
l = 10 cm × (2 ft/1 cm) = 20 ft
The area A₂ of the floor is
A = l² = (20 ft)² = 
Step 2. Calculate the area ratios
We must express both areas in the same units.
Let's express the area of the room in square centimetres.
l = 20 ft × (12 in/1 ft) = 240 in
l = 240 in × (2.54 cm/1 in) = 609.6 cm
A₂ = l² = (609.6 cm)² = 371 612 cm²
The area A₁ on the scale drawing is 100 cm².
The ratio of the areas is
The ratio of the area in the drawing to the actual area is
2,2,6,7,9,11,14
And the Median is 7
Answer:
no solutions
Step-by-step explanation:
10x+2y=42
5x+y=20
Multiply the second equation by -2 to use elimination
-2(5x+y)=20*-2
-10x -2y = -40
Add this to the first equation
10x+2y=42
-10x -2y = -40
--------------------------
0 = 2
This is never true. This means there are no solutions
Answer:
n = 
, n = 
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n =
2n - 1 = 0 ⇒ 2n = 1 ⇒ n =
The perimeter of the equilateral triangle will be 76.2 in
<u>Explanation:</u>
Altitude of an equilateral triangle, H = 22 in
Perimeter, p = ?
Let a be the side of the triangle
We know:
Perimeter = 3a
P = 3 X 25.4 in
P = 76.2 in
