Answer:
(f+g)(x) = 60x + 400
Step-by-step explanation:
Given :
Amount in account A:
f(x) = 20x + 100
Amount in account B :
g(x) = 40x + 300
Total amount in Account A and B:
f(x) + g(x) = (20x + 100) + (40x + 300)
(f+g)(x) = (20x + 40x) + (100 + 300)
(f+g)(x) = 60x + 400
Trig ratios can only be used on right triangles with acute measures.
If given an angle and there are adjacent and opposite sides, then use tan(opposite/adjacent)
If given an angle and there is an adjacent side and a hypotenuse, then use cosine(adjacent/hypotenuse)
If given an angle and there is an opposite and adjacent side, then use sin(opposite/hypotenuse)
A common mnemonic device used to memorize the trig rules is SOH-CAH-TOA
Answer:
Step-by-step explanation:
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest
Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water of its capacity
→ That means the volume of the water is the volume of the tank
∵ The volume of the water = the volume of the tank
∴ The volume of the water = × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
It is C. Associative property of multiplication