Answer:
The answer is y=6
Step-by-step explanation:
Move the constant to the right side and change its sign
3y=12+6
Add the numbers
12 +6
3y=18
Divide both sides of the equation by 3
Which equals
Y=6
Hope that helps
Answer:
5√202
Step-by-step explanation:
By Pythagoras theorem,
x^2 = 45^2 + 55^2
= 2025 + 3025
x^2 = 5050
x = 5√202
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer: A.) y = 15 B.) (5y + 3)° = 78° (4y + 8)° = 68° and 34°
Steps:
180° - 146° = 34°
180 = 34 + (5y + 3) + (4y + 8)
180 - 34 = (5y + 3) + (4y + 8)
146 = (5y + 3) + (4y + 8)
146 = 5y + 3 + 4y + 8
146 = 9y + 11
146 - 11 = 9y
135 = 9y
135/ 9 = y
15 = y
(5y + 3)
5(15) + 3
75 + 3
78
(5y + 3) = 78
(4y + 8)
4(15) + 8
60 + 8
68
68 = (4y + 8)
Check:
68 + 78 + 34 = 180
180 = 180 ✅
There is exactly 8333.3333 feet in one million inches