Answer:
The value of sin Ф is
Step-by-step explanation:
In quadrant II, the value of
Let us solve the question
∵ sin²Ф + cos²Ф = 1
∵ cos Ф = ![\frac{-12}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B-12%7D%7B13%7D)
→ Substitute it in the identity above
∴ sin²Ф + (
)² = 1
∴ sin²Ф +
= 1
→ Subtract
from both sides
∵ sin²Ф +
-
= 1 -
∴ sin²Ф =
→ Take the square root of both sides
∵ √(sin²Ф)= ± ![\sqrt{\frac{25}{169}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B25%7D%7B169%7D%7D)
∴ sin Ф = ± ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
∵ Ф is in quadrant II
∴ sin Ф is a positive value
∴ sin Ф = ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
∴ The value of sin Ф is
What do you need help with?
Answer:
8.5 ft is the length, and 7 ft is the width.
Step-by-step explanation:
8.5 ft is the length
We are given a table of frequencies, so in order to find probability associated with it, we need to start by adding all the numbers in the frequency, since that would give us the totals:
We add :
7.7 + 8.2 + 24.1 + 25.6 + 51.5 + 29. 4 = 146.5
Now, notice that they ask you to find the probability associated with a voter chosen at random to be in a group DIFFERENT from the range 21 to 24, That means the complementary of this range, which is therefore
146.5 - 8.2 = 138.3 (since 8.2 is the frequency for the 21 - 24 years/age range.
Then the probability is the quotient:
138.3 / 146.5 = 0.9440273 which in percent terms is 94.4 %
If you teacher wants the probaility in decimal (math) form, use 0.944.
If he/she wants it in percent form, use 94.403% (using
Answer:
A, (-3,0)
Step-by-step explanation:
Just plug that one in and it works out.
5*-3+2*0= -15
2*-3-2*0= -6