Which number is equivalent to 0.45? line over .45

Step-by-step explanation:

The line over 45 indicates 45 is being repeated, that is

0.4545....

Create 2 equations with the repeating values after the decimal point

let x = 0.4545..... → (1) ( multiply both sides by 100 )

100x = 45.4545..... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 45 ( divide both sides by 99 )

x = =

Thus 0.4545... =

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west