Check the picture below
now, <span>26°35' is just 26bdegrees and 35 minutes
your calculator most likely will have a button [ </span><span>° ' " ] to enter degrees and minutes and seconds
there are 60 minutes in 1 degree and 60 seconds in 1 minute
so.. you could also just convert the 35' to 35/60 degrees
so </span>
![\bf 26^o35'\implies 26+\frac{35}{60}\implies \cfrac{1595}{60}\iff \cfrac{319}{12} \\\\\\ tan(26^o35')\iff tan\left[ \left( \cfrac{391}{12} \right)^o \right]](https://tex.z-dn.net/?f=%5Cbf%2026%5Eo35%27%5Cimplies%2026%2B%5Cfrac%7B35%7D%7B60%7D%5Cimplies%20%5Ccfrac%7B1595%7D%7B60%7D%5Ciff%20%5Ccfrac%7B319%7D%7B12%7D%0A%5C%5C%5C%5C%5C%5C%0Atan%2826%5Eo35%27%29%5Ciff%20tan%5Cleft%5B%20%5Cleft%28%20%5Ccfrac%7B391%7D%7B12%7D%20%5Cright%29%5Eo%20%5Cright%5D)
now, the angle is in degrees, thus, make sure your calculator is in Degree mode
Answer:
10 points
Step-by-step explanation:
Points scored in each of the first 3 quarter = x
Total points scored in the first 3 quarter = x + x + x
= 3x
Points scored in the fourth quarter = 14
Total points scored = 44 point
Total points scored = Total points scored in the first 3 quarter + Points scored in the fourth quarter
44 = 3x + 14
Subtract 14 from both sides
44 = 3x + 14
44 - 14 = 3x + 14 - 14
30 = 3x
Divide both sides by 3
x = 30/3
= 10
x = 10 points
Points scored in each of the first 3 quarter = x = 10 points
The school football team scored 10 points points in the first quarter
Answer: A. X= -5, Y= 3, Z= 4
Step-by-step explanation:
y - y₁ = m(x - x₁)
y - (-1) = 4[x - (-3)]
y + 1 = 4(x + 3)
y + 1 = 4(x) + 4(3)
y + 1 = 4x + 12
- 1 - 1
y = 4x + 11
The answer is B.
![log_{x}(1/8)=-3/2](https://tex.z-dn.net/?f=log_%7Bx%7D%281%2F8%29%3D-3%2F2)
This is equal to...
![x^{-3/2}=1/8](https://tex.z-dn.net/?f=x%5E%7B-3%2F2%7D%3D1%2F8)
We want "x" so we need to isolate it using laws of exponents...
![x^{(-1)(3/2)}=1/8](https://tex.z-dn.net/?f=x%5E%7B%28-1%29%283%2F2%29%7D%3D1%2F8)
because ![x^{-a}=1/x^{a}](https://tex.z-dn.net/?f=x%5E%7B-a%7D%3D1%2Fx%5E%7Ba%7D)
because ![x^{a/b}=\sqrt[b]{x^{a}}](https://tex.z-dn.net/?f=x%5E%7Ba%2Fb%7D%3D%5Csqrt%5Bb%5D%7Bx%5E%7Ba%7D%7D)
x = 4
answer: B