Answer:
8x - 16
Step-by-step explanation:
8(x−2)
=(8)(x+−2)
=(8)(x)+(8)(−2)
=8x−16
Answer:
B, C, and D
Step-by-step explanation:
Just some simple maths, look at it like railroad tracks and act it out as such, with lines a and b being parallel. Angle 6 is 75, Angle 1 is 105
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 = ![\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D)
D =
X
, since 50 = 25 x 2
D = 5![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
D ≈ 7.07
Note that the diameter of the circle given is 9 and D < 9 , we can therefore conclude that the square will fit inside the circle without touching the edge of the circle since the diagonal of the square is less than the diameter of the circle
Answer: -1.71
7(x+3) = 9 is the equation
7x+21 = 9
7x = -12
x= -12/7
x= -1.71
In an election, about 500,000 people voted in all.
We need to find exact number of people that round to get 500,000 .
For example if we take 450,000
When we round to nearest hundred thousand , it becomes 500,000 because we have 5 in ten thousand place.
If we have 5 or greater than 5 then we add 1 in hundred thousand place.
450,000 to 549,999 is the range of numbers that gives 500,000 when it round to hundred thousands place.
We are not given with any options. So, the exact number lies between 450,000 to 549,999