Answer:
b = 14.6
Step-by-step explanation:
From the looks of it, this is law of sines.
So I'll set it up like so:
b / sin(90) = 12 / sin(55)
b / sin(90) = 14.649
b = 14.6
Answer:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Step-by-step explanation:
To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.
We now need to calculate the volume of the sphere, by using the appropriate formula:
When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Hopes this helps:
Answer: x < -9
Subtract 5 from both sides
X < -4 - 5
Simplify -4 - 5 to -9.
X < -9
Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Alg I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = y - 3
2x - 2y = -6
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: 2(y - 3) - 2y = -6
- Distribute 2: 2y - 6 - 2y = -6
- Combine like terms: -6 = -6
Here we see that -6 does equal -6. Therefore, any value <em>y</em> would work as a solution. Hence, this systems of equations has an infinite amount of solutions.