Answer:
You would get $40.52 back.
Step-by-step explanation:
1.50+1.99+5.99
$9.48
50-9.48=40.52
You would get $40.52 back.
Answer:
120 cm²
Step-by-step explanation:
From the question;
- Length is 12 cm
- Width is 10 cm
We are required to determine the area of the cross section;
- Note that the cross section is the plane of a solid that remains constant through the solid.
- In this case, the cross section is a rectangle whose dimensions are 12 cm by 10 cm.
But Area of a rectangle = Length × Width
Therefore;
Area of cross section = 12 cm × 10 cm
= 120 cm²
Thus, area of the cross section is 120 cm²
Answer:
Students collected
pounds of paper;
pounds of cans;
pounds of paper and cans combined in September and October.
Step-by-step explanation:
In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.
In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.
Hence, in October they collected
pounds of paper;
pounds of cans.
In total, they collected
- pounds of paper;
- pounds of cans;
- pounds of paper and cans combined in September and October.
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
