Answer
5.0/5
10
carlosego genius 11.6k answer 175.7m people helped the perimeter is the sum of the sides: P=(x-7) +(x+1)+(x) rewriting: P=3x-6 the area is giving by:A=(1/2)*(x-7)*(x) the area and the perimeter are the same: (1/2)*(x-7)*(x)=3x-6 rewriting: (x-7)*(x)=6x-12 x^2-7x-6x+12=0 x^2-13x+12=0 polynomial of degree 2, therefore there are 2 possible solutions. Viable solution. Viable solution: x=12 sides of triangle: 5 12 13
Answer:
A. Five places to the left
Step-by-step explanation:
Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.
Before putting a number into scientific notation, you need to know which number is a significant figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.
I’m assuming ‘dives further’ means to go directly down
the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.
let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)
then this become a simple trig problem:
A)
Let O be the position of of the ship, and C be the original position of the submarine.
therefore, not considering direction
|OC| = 1.78km = 1780m
|CA| = 45m
these are the adjacent and opposite sides of a right angled triangle.
But tan($) = opp/adj = |CA|/|OC| = 45/1780
therefore $ = arctan(45/1780) which is roughly 1.45 degrees,
B)
similarly, noting that |CB| = |CA| + |AB| = 45 + 62 = 107m
tan(¥) = 107/1780
¥ = arctan(107/1780) which is roughly 3.44 degrees
Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1. If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change. thus your answer would be C
