<h3>
Answer: 10.99</h3>
Work Shown:
Angle B = 20 is the reference angle
AC = 4 is the side opposite this reference angle
BC = x is the unknown adjacent side
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(20) = 4/x
x*tan(20) = 4
x = 4/tan(20)
x = 10.9899 approximately (make sure your calc is in degree mode)
x = 10.99 rounding to two decimal places
BC = 10.99
Answer:
4/5
Step-by-step explanation:
10:100=8:x
x= 100*8/10
x= 80 (80%)
80% = 80/100 = 8/10 = 4/5
Answer:
y=-1/3x-1
Step-by-step explanation:
Perpendicular lines have slope that are opposite sign and reciprocals
3x-y=12 has a slope of 3, therefore perpendicular line must have slope of -1/3
2=-9(-1/3)+b
2=3+b
b=-1
Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
-14a-5=-12
+5 +5
-14a=-7
Divide -7 by -14a
a=2
