Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
<h2><u>Answer</u><u> </u><u>:</u></h2>
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
<u>Therefore</u><u>,</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>3</u><u>7</u><u> </u><u>cm</u><u>.</u><u> </u>
Answer:
D) g(x) is shifted 4 units to the left and 6 units down
Step-by-step explanation:
When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.
Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.
Answer:
194.58$
Step-by-step explanation:
Have a great day! :)
Answer:
h = 81
Step-by-step explanation:
19 = h/3 - 8
collect like terms
19 + 8 = h/3
27 = h/3
h = 27 x 3
h = 81
