Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
Watch videos on YouTube, that's what I do with geometry.
Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!
The simple interest formula is:
A = P(1 + rt)
where A is the final amount, P is the principal, r is the annual interest rate (as a decimal) and t is time in years.
Substituting with P = 1,300, r = 0.06 and t = 3, we get:
A = 1,300(1 + 0.06*3)
A = 1,300*1.18
A = 1,534
The final amount will be $1,534
