Answer: 87.5
Step-by-step explanation:
Triangle area = base * height / 2
25 * 7 = 175
175/ 2 = 87.5
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9
- Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9
- Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9
- Combine like terms (Z): 7m³ - 11m² + 5m + 17
Answer:
65
Step-by-step explanation:
520/8=65 so approximately 65 kids play soccer
1. Gold has a higher density than silver. This is shown by the equation D = M/V, where D is density, M is mass, and V is volume. This means that when the jeweler put an equal amount of mass in, he had
to put a greater volume of silver to equal the same mass of gold. The total volume of the crown increased.
2. Archimedes discovered that the amount of volume he put in (whether his body, or the crown) would be equal to the rise in volume of the water level (that is, the new water level versus the old one before anything had been put in). Archimedes would have then gotten a block of gold that weighed the same as the crown and checked the volume rise. Then once he tested the crown, he would have seen that the volume rise was higher than expected, and he would know that the jeweler had included some silver.
Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!