Answer:
9
Step-by-step explanation:
let's assume ;
12=a
15=c
?=b
so;
a2+b2=c2
(12)2+b2=(15)2
144+b2=225
b2=225-144
b2=81 (square root both sides)
You'll get
b=9
NB; 2 is used as squared
Answer:
y=68.38172757
Step-by-step explanation:
Take the inverse cosine of both sides of the equation to extract
y from inside the cosine.
y=arccos(7/19)
y=68.38172757
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from
360 to find the solution in the fourth quadrant. y=360−68.38172757
y=68.38172757+360n,291.61827242+360n, for any integer n
Answer:
The equation ls: y = -4x - 16
Step-by-step explanation:
Given the point (-6, 8)
Given the line y = .25x - 7
Use a fraction:
y = 1/4x - 7
The slope is 1/4 (or .25)
The slope of a perpendicular line is the negative inverse or -4.
Use the point slope form and substitute:
y - y1 = m(x - x1)
y - 8 = -4(x - (-6))
y - 8 = -4x - 24
y = -4x - 16
Proof:
f(-6) = -4(-6) - 16
= 24 - 16
= 8, giving (-6, 8)
Answer:
x ≈ 12.96
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 11² = 17²
x² + 121 = 289 ( subtract 121 from both sides )
x² = 168 ( take the square root of both sides )
x =
≈ 12.96 ( to the nearest hundredth )
Answer:
52
Step-by-step explanation: