Answer:
B. The ratio of the area of the scale drawing to the area of the painting is 1:16
C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4
Step-by-step explanation:
The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths
Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,
The ratio of the area of the scale drawing to the painting = 1²:4²
= 1:16
Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4
P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,
r = 5% = 0.05, nt = 12*3 = 36
Therefore,
D =
= 33.37
Then,
P = 13,500/44.37 = $404.61
The correct answer is c.
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Answer:
240 m
Step-by-step explanation:
The area of a square field is 3600 m².
We need to find the length of fencing he needs to buy. It means we need to find the perimeter of the field.
The area of a square field is given by :
A = side²
So,
Length of fencing = perimeter
= 4(s)
= 4(60)
= 240 m
So, he would need to buy 240 m of fencing.
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
