Answer:
113
Step-by-step explanation:
4x-5=96, 4x = 101, x= 25.25
25.25 * 4 = 101
101 + 12 = 103
Answer: There are 16 fish that he can keep in the aquarium.
Step-by-step explanation:
Since we have given that
Length of aquarium = 4 feet
Width of aquarium = 1 foot
So, it forms a shape of cuboid.
As we know the formula for "Volume of Cuboid":

According to question, Each fish needs atleast 0.5 cubic feet of water.
So, Number of fish that he can keep in the aquarium is given by

Hence, there are 16 fish that he can keep in the aquarium.
Answer:
3π=3×3.14 =9.42
7π=7×3.14=21.98
Step-by-step explanation:
so the distance around window , in feet be
3π=3×3.14=9.42
7π=7×3.14=21.98
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A
C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Answer:
1/2 - 3(1/2 + 1)²
simplify the expression (1/2 + 1)
1/2 - 3•(3/2)²
using PEMDAS, we see we have to evaluate the exponent first
(3/2)² = 9/4
rewrite the equation
1/2 - 3 • (9/4)
multiply 3 by (9/4)
1/2 - (27/4)
subtract
-25/4
(1 + 1/3)² - 2/9
simplify the expression (1 + 1/3)
(4/3)² - 2/9
using PEMDAS, we see we have to evaluate the exponent first
(4/3)² = 16/9
rewrite the equation
(16/9) - (2/9)
subtract
14/9