Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.
All three triangles are congruent by SAS
Answer:
A constant of $20 can be multiplied by the number of months to find the amount in the account.
Step-by-step explanation:
4×20=80
7×20=140
Answer:
111 pieces of soda
Step-by-step explanation:
step 1
Find the area of the rectangular backyard
The area of the rectangular backyard is equal to

where


substitute


step 2
Find the area of one piece of sod
The area of the rectangular piece of sod is

where


substitute

step 3
Find the pieces of sod needed
To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda
so

Round up
111 pieces of soda