Answer: Vector travelling 4 units to the left and 1 unit up, facing northwest.
Step-by-step explanation:
The original shape is ABC, while the translated shape is A'B'C'.
The translation is 4 units to the left and 1 unit up.
The correct vector will display as a vector travelling 4 units across and 1 unit down, facing northwest.
The first attached image travels 4 units across and 1 unit down, and faces the correct direction (northwest).
The second attached image travels 4 units across and 1 unit down, but it faces the wrong direction (southeast).
The third image travels 1 unit across and 2 units down. This is incorrect.
The fourth image travels 1 unit across and 2 units down. This is incorrect.
The correct answer is the first attached image (linked in comments)
The question gives you the formula to use, but it's printed wrong.
The 'x' is an exponent after the (1 + r).
All you have to do is take the formula, and write the numbers into it
that are also given.
The key thing to spot is that the forest is <u><em>decreasing</em></u>, so the 'r' is <u>negative</u>,
just as if you had money in a savings account and every year the bank took
6% <u>out</u> of it.
So the formula to use is f(x) = P (1 + r) ^x
P = 2000
r = -0.06
f(x) = 2000 (1 - 0.06)^x
= <em>2000 (0.94)^x</em>
The amount left after 12 years is
2000 (0.94)¹² =
2000 (0.476) =<em> 951.8 square kilometers</em>.
Answer: 4y
Step-by-step explanation:
Given: The total number of players = y
Total number of practice jerseys she need to order for each player=4
Therefore, the total number of practice jerseys they she need to order=
Hence, the total number of practice jerseys Camelle need to order =4y
to find X you need to add up the other two angles inside the triangle which are 36 and 63, that equals 99 and then subtract that number from 180, which equals 81.
To find Z you will follow the 180 rule and subtract 180 from what you got for X(81), this will equal 99
To find Y you will add what you got for Z(99) plus 13 and then subtract that number from 180, which will give you 68
So X=81, Y=99, and Y=68
Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = 
= 12
Then
length of chord = 2x = 2 × 12 = 24 cm
