Answer:
Let A1=a1+a2+a3, A2=a2+a3+a4, and so on, A10=a10+a1+a2. Then A1+A2+⋯+A10=3(a1+a2+⋯+a10)=(3)(55)=165, so some Ai≥165/10=16.5, so some Ai≥17.
Step-by-step explanation:
Answer:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
<u>Algebra II</u>
Distance Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
Point (-7, 1)
Point (-7, -5)
<u>Step 2: Find distance </u><u><em>d</em></u>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.
- Substitute in points [Distance Formula]:
- [Order of Operations] Evaluate:
Answer:
_|_____________________|_____________________|_
1/3 <u>2/3</u> 3/3
Step-by-step explanation:
draw a line:
____________________________________________
then divide the line by three's:
_|_____________________|_____________________|_
then mark the first part 1/3
the second 2/3 and third 3/3:
_|_____________________|_____________________|_
1/3 2/3 3/3
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
