Answer:
I'd say multiply the numerators then the denominators and at the end simplify at least thats how I multiply fractions :)
Answer:
87.92 mm³
Step-by-step explanation:
The area of the base of the cylinder and cones is the same for all, the area of a circle of radius 2 mm:
B = π·r² = 3.14·(2 mm)² = 12.56 mm²
If we call the heights of the lower cone, cylinder, and upper cone h1, h2, and h3, respectively, then the total volume is ...
V = (1/3)Bh1 + Bh2 + (1/3)Bh3
Here is is convenient to factor out B and also 1/3, so we have ...
V = B(h2 + (1/3)(h1 +h3))
V = (12.56 cm²)·((5 +(2+4)/3) cm) = 7·12.56 cm³
V = 87.92 cm³
Answer:
-36,047.
Step-by-step explanation:
Sum of n terms = a1 .( r^n - 1) / (r - 1)
So Sum of 7 terms = -11 . ((-4)^7 - 1 / (-4-1)
= -11 * -16,385 / -5
= -36,047.
Answer: About $118.66
Step-by-step explanation:
53.4/0.45 is 118.66
Refer to the diagram shown below.
The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).
The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m
Answer: 141 m (nearest meter)