Answer:
y<=-x+3 and y<=2x+1
Step-by-step explanation:
y=-x+3 is the orange line. The shaded region is below so its y<-x+3
y=2x+1 is the blue line. The shaded region is below so y<2x+1
Answer:
Step-by-step explanation:
Angle 1: 180-72= 108
108 degrees
Angle 2: total degree for the triangle is 180.
108+38=146 180-146=34
34 degree
angle 3: 42+38=80
180-80=100
100 degrees
![\sqrt[8]{48^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B48%5E4%7D%20)
can be rewritten as
![48^4](https://tex.z-dn.net/?f=%2048%5E4%20)
to the
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
power:
![(48^4)^ \frac{1}{8}](https://tex.z-dn.net/?f=%2848%5E4%29%5E%20%5Cfrac%7B1%7D%7B8%7D%20)
Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:
![(48^ \frac{1}{2})](https://tex.z-dn.net/?f=%2848%5E%20%5Cfrac%7B1%7D%7B2%7D%29%20)
This is equivalent to
![\sqrt{48}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%20)
, so now, we just simplify:
![\sqrt{48}= \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%3D%20%20%5Csqrt%7B16%2A3%7D%3D%20%5Csqrt%7B16%7D%2A%20%5Csqrt%7B3%7D%3D4%20%5Csqrt%7B3%7D)
So:
Answer:
Interest She'll make in a year is $30.10125
Step-by-step explanation:
Interest = PRT ÷ 100
Principal = $523.50
Rate = 5³/₄% = 5.75%
Time= 1year
Interest I = (523.50 × 5.75 × 1) ÷ 100 = $30.10125
Interest She'll make in a year is $30.10125
The answer would be if you only knew one angle and that would be 90 degrees.