Answer:
he got 20% wrong
he got a B
Step-by-step explanation:
Answer: y = (-1/2)x + 2
Step-by-step explanation:
To answer, we substitute each of the numbers in parentheses to x of h(x) and get the value of g(x).
A. h(2) = 2(2) + 3 = 7 ; g(2) < 4 (neither is equal to 7)
B. h(7) = 2(7) + 3 = 17; g(7) is not shown in the graph (not true)
C. h(2) = 7 ; g(2) < 4 Thus, g(2) < h(2) (choice is not true)
D. From C, g(2) < h(2) (TRUE)
Thus, the answer to this item is letter D.
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.
Answer:
60.6528 kg
Step-by-step explanation:
Assuming the solid ball of iron is a sphere with a radius of 18 cm (or 0.18 m), we can compute the volume of the sphere:
Therefore, the volume of the solid ball is 0.007776 m³
Since we know that density is mass/volume, then we can find the mass of the iron:
Thus, the mass of the solid ball of iron is 60.6528 kg
