Answer:
The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.
Step-by-step explanation:
Given that a pyramid art installation has a surface area of 24 m2, and an artist creates replicas with scale factors of 1/8, 1/10, and 1/12, to determine what is the surface area of each replica, the following calculation has to be done:
24 x 1/8 = 3
24 x 1/10 = 2.4
24 x 1/12 = 2
Therefore, the replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.
Answer:
Its degree can be at least 1970
Step-by-step explanation:
for each root of the form √q, where q is not a square, we have a root -√q. Therefore, we need to find, among the numbers below to 1000, how many sqaures there are.
Since √1000 = 31.6, we have a total of 30 squares:
2², 3², 4², ...., 30², 31²
Each square gives one root and the non squares (there are 1000-30 = 970 of them) gives 2 roots (one for them and one for the opposite). Hence the smallest degree a rational polynomial can have is
970*2 + 30 = 1970
Answer:

Step-by-step explanation:
Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.
1) Expand 2(q+p)
2q + 2p = 1 + 5q
2) Move all q terms to one side
5q - 2q = 2p - 1
3q = 2p - 1
3) Divide 3 on both side (to isolate q)
q = 
Yes, because figure B can be obtained from figure A by a series of translations
Answer:
none
Step-by-step explanation: