Answer:
Y = 15sqrt(3)/4
Z = 15sqrt(3)/2
b = 45/4
Step-by-step explanation:
Sin(60) =Z/15
sqrt(3)/2 = Z/15
Z = 15sqrt(3)/2
Sin(30) = Y/Z
½ = Y/Z
Y = ½(15sqrt(3))/2 = 15sqrt(3)/4
Cos(30) = b/Z
sqrt(3)/2 = b/Z
b = 15sqrt(3)/2 × sqrt(3)/2
b = 45/4
sqrt is square root/radical
Hello LovingAngel!
To find the slope, you can use the formulas

as well as

. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)

->

->

or 3.
The slope for (1,5) and (2,8) is 3(/1). Second pair: value 1: (3,1) value 2 (3,-1)

->

->
Slope for the second pair is -2/0Checking work with

1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
Answer:
x = 38.05
Step-by-step explanation:
Using the Pythagoras theorem to find x
x is the hypotenuse
The other sides are opposite and adjacent
x² = 30²+25²
x² = 900+625
x² = 1525
x = √1525
x = 39.05
The number has 2 digits - let's call them x and y. The positive difference between the two combinations (lowest-highest and highest-lowest) is always equal to the positive difference of x and y, multiplied by 9.
For example:
76 and 67: 76 - 67 = 9 and ((7-6)*9) = 1*9 = 9
73 and 37: 73 - 37 = 36 and ((7-3)*9) = 4*9 = 36
Yes it does and it would also be true if the y was 4 or 6 because 2 plays into all of those but it would be false if it was something like 5