Answer:
30
Step-by-step explanation:
pythagoras theorem dictates:
a squared plus b squared=c squared
576+324=900
take the square root of that
30
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Step-by-step explanation:
210 ÷ [ 5 + 16 ÷ 2 { 6 - 18 ÷ ( 7 + 2 ) } ] - 15
210 ÷ [ 5 + 16 ÷ 2 { 6 - 18 ÷ 9 } ] - 15
210 ÷ [ 5 + 16 ÷ 2 { 6 - 2 } ] - 15
210 ÷ [ 5 + 16 ÷ 2 { 4 } ] - 15
210 ÷ [ 5 + 16 ÷ 8 ] - 15
210 ÷ [ 5 + 2 ] - 15
210 ÷ 7 - 15
30 - 15
15
Random letters so i can just put the answer
325.50 i think
The answer is the first choice!!