Answer:
AC = 52
Step-by-step explanation:
the diagonals of a square are congruent and bisect each other, hence
AC = BD
2(3x - 4) = 10x - 48
6x - 8 = 10x - 48 ( subtract 10x from both sides )
- 4x - 8 = - 48 ( add 8 to both sides )
- 4x = - 40 ( divide both sides by - 4 )
x = 10
⇒ AC = 2(3 × 10 - 4) = 2 × 26 = 52
Answer:
For a circle of radius R, the perimeter is:
P = 2*pi*R
Where pi = 3.14
If we have a section of this circle, defined by an angle θ, the length of that arc is calculated as:
L = (θ/360°)*2*pi*R
In this case, we have a unit circle, so the radius is 1 unit, and we have a section defined by an angle of 57°.
Then the total distance traveled will be equal to the length of the arc, which is:
L = (57°/360°)*2*3.14*(1 unit) = 0.99 units
Then the correct option is a.
(as we want to find the total distance, the starting point does not matter, so the total distance traveled in a section of 57° would be the same in any point of the circle, this means that the fact that we should start at the point (1,0) has no effect in this question)
Answer:
Step-by-step explanation:
Answer:
Tom has 70 cards, and Harry has 28 cards.
Step-by-step explanation:
Let h = number of cards Harry has.
Then the number of cards Tom has is 2 1/2 * h = 2.5h.
Together they have 2.5h + h = 3.5h number of cards.
Together they have 98 cards.
3.5h = 98
h = 98/3.5
h = 28
Harry has 28 cards.
Tom has 2.5h = 2.5 * 28 = 70
Answer: Tom has 70 cards, and Harry has 28 cards.