This is the concept of linear proportionality, we are required to calculate the actual length between two buildings which have a distance of 1.7 cm when drawn to scale of 1 cm: 2.5 km. This can be calculated as follows;
actual distance= (distance on the map)*(scale factor)
actual distance=1.7*2.5=4.25 km
The answer is 4.25 km
2+2 = 4
4+4 =8
8+8 = 16
16+16 = 32
32+32 = 64
and so on :)
C = 10d+ 45 ? Hope this helps? Let me know if it’s right or not.
Answer:
99
Step-by-step explanation:
(40+49)+10=89+10=99
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
