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
Answer: She had 20 gallons to begin with.
Step-by-step explanation:
16 = 6 + 1/2x
x = the amount she had to start with
Subtract 6 from each side
10 = 1/2x
Divide each side by 1/2
20 = x
The answer is A.
If you are asked to find an equation parallel to the other, make sure the equations have the SAME SLOPE, DIFFERENT Y-INTERCEPT
D. 3
You can use Pythagorean Theorem to figure this out.
a^2 + b^2 = c^2
4 would your b, and 5 would be your c. You would then solve for a.
Also, 3-4-5 triangles are just something that you can always count on. If two sides of a triangle are 3 and 4, you can count on the hypotenuse being 5. On the other hand, if you know the hypotenuse is 5 and you know one of the other sides is either 3 or 4 (let’s say 3, for example) then you know the missing side has to be the other number (which would be 4 in the example i gave).
