Answer:
0.170940171
Step-by-step explanation:
Answer:
b = 10
Explanation:
Lets start by combining like terms (b):
3/2b + 1/5b
to combine these fractions you must get them to both have the same denominator:
3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator
1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator
15/10 + 2/10 = 17/10
17/10b = 17
Now we want to get the b to be by itself, so lets first multiply both sides by 10:
17b = 170
Now lets divide both sides by 17:
b = 10
Hope this helped!
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
X = 2
4x + 8 = 16
-8 -8
----------------
4x= 8
-- --
4 4
------------
x=2
Answer:
y = 1(x - 5)² + 3
Step-by-step explanation:
The general formula of a quadratic equation is written as;
y = a(x − h)² + k
Where (h, k) are the x and y coordinates at the vertex.
Our vertex coordinate is (5, 3)
Thus;
y = a(x - 5)² + 3
Now,we are given another coordinate as (8, 12)
Thus;
12 = a(8 - 5)² + 3
12 = 9a + 3
9a = 12 - 3
9a = 9
a = 9/9
a = 1
Thus,the equation is;
y = 1(x - 5)² + 3
