Answer:
64.3 miles ( D)
Step-by-step explanation:
Circular orbit height ( from the center of the earth ) = 100 mile
angle between satellite and earth = 50°
escape velocity = √2 * 17500 = 24748.73 miles /hour
distance between surface of earth and satellite
x = cos ∅
∴ Cos ∅ = x / 100
x = cos 50° * 100 ≈ 64.3 miles
Answer:
285 boxes are in the display
Step-by-step explanation:
Given data
top layer box = 1
last row box = 81
to find out
how many box
solution
we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box
so that next row will have 8^2 and than 7² and so on till 1²
so we can say that cubes in the rows as that
Sum of all Squares = 9² + 8² +..........+ 1²
Sum of Squares positive Consecutive Integers formula are
Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)
here n = 9 so equation will be
Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)
Sum of Squares of Consecutive Integers = 285
so 285 boxes are in the display
Answer:
A. True
Step-by-step explanation:
The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.
a + b
9 + 1 = 10>9
a + c
9 + 9 = 18>1
c + b
9 + 1 = 10>9
Answer:
504/8=63/6=10.5
10 rooms per floor with 3 leftover
Answer:
x=7.5
y=1.5
Step-by-step explanation:

subtract x from both sides




combine like terms

subtract 1.8 from both sides

divide both sides by 0.3
x=7.5


y=1.5