Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
First, we'll figure out how many animals there are in total by adding up the cats and the dogs. In this case, we have 33+33=66 total animals. Then we need to figure out what fraction of these 66 animals are dogs:
So half of the animals are dogs. To write that as a percent, we need the fraction to be over 100, so:
50% of the animals are dogs.
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:24
Step-by-step explanation:
