Answer:
x = 12 y = 24 z = 12
Step-by-step explanation:
you are correct. x = 12
The dotted line has a length of 12 also
The dotted line is the shorter leg of the 30-60-90 triangle.
So, z = 12
and y = 24
Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be
= 80
ii) let the second term be
=
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be
=
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be
=
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
When reading the place value of numbers, we start from right to left.
The place values from right to left are arranged as follows:
units, tens, hundreds, thousands, ten thousands and hundred thousands.
Applying this to the given number (<span>654 321) we will find that:
1 represents the units
2 represents the tens
3 represents the hundreds
4 represents the thousands
5 represents the ten thousands
6 represents the hundred thousands</span>
Calculate Δ = b^2 -4ac => Δ = 169 => k1 = 3/2; k2 = -5 => 2k^2 + 7k - 15 = 2*(k -3/2)(k+5) = (2k - 3)(k+5);