Answer:
111100 base 2
Step-by-step explanation:
The conversion of 60 base 10 to base 2
When converting a number from base 10 to base 2, the following steps are taken:
a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.
b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.
60 base 10 to base 2
60 ÷ 2 = 30 remainder 0
30 ÷ 2 = 15 remainder 0
15 ÷ 2 = 7 remainder 1
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
The remainder from bottom to top is 111100 base 2.
(60)₁₀ = (111100)₂
Answer:
1. The slope of the graph is 3/1 or 3
2. The slope of the graph is 3/4
3. The slope of the points is 2
4. The slope of the points is Undefined
5. The slope of the graph is 1
6. The slope of the points is -1/4
Step-by-step explanation:
To find the slope of the graph you use rise over run
To find the slope of the points you use y2-y1 over x2-x1
Hope this is very helpful!!
Answer: -1 and 1
Step-by-step explanation:
Let the first integer be x and the second x +2 , clearly, the larger is x + 2.
From the statement given
x + 2 = 3x + 4
x - 3x = 4 - 2
-2x = 2
x = -1
The second integer is -1 + 2 = 1
Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33
For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have
Shape Tessellate?
Octagon No
Hexagon Yes
Pentagon No
Square Yes
Triangle No(unless it is specified that it is an equilateral triangle)
