<u>We are Given:</u><u>_______________________________________________</u>
ΔABC right angled at B
BC = 8
AC = 20
<u>Part A:</u><u>_____________________________________________________</u>
Finding the length of AB
From the Pythagoras theorem, we know that:
AC² = BC² + AB²
replacing the given values
(20)² = (8)² + AB²
400 = 64 + AB²
AB² = 336 [subtracting 64 from both sides]
AB = 18.3 [taking the square root of both sides]
<u>Part B:</u><u>_____________________________________________________</u>
Finding Sin(A)
we know that Sin(θ) = Opposite / Hypotenuse
The side opposite to ∠A is BC and The hypotenuse is AC
So, Sin(A) = BC / AC
Sin(A) = 8/20 [plugging the values]
Sin(A) = 2/5
<u>Part C:</u><u>_____________________________________________________</u>
Finding Cos(A)
We know that Cos(θ) = Adjacent / Hypotenuse
The Side adjacent to ∠A is AB and the hypotenuse is AC
So, Cos(A) = AB / AC
Cos(A) = 18.3/20 [plugging the values]
Cos(A) = 183 / 200
<u>Part D:</u><u>_____________________________________________________</u>
Finding Tan(A)
We know that Tan(θ) = Opposite / Adjacent
Since BC is opposite and AB is adjacent to ∠A
Tan(A) = BC / AB
Tan(A) = 8 / 18.3 [plugging the values]
Tan(A) = 80 / 183
a) What is the probability that he is accepted to one of the
two schools
this means P( standford or cal-poly)
P( standford or cal-poly) = P( standford) + P(cal-poly) − P(
standford and cal-poly)
= 0.4 + 0.3 – 0.15
= 0.55
What is the probability that he does not get accepted at
either school?
Prob that he gets neither = 1 − 0.55 = 0.45
<span> </span>
Answer:
m = 4
Step-by-step explanation:
The m in y= mx+b is the slope.
Answer:
Wrong division to post a question of this kind, BUT a membrane is a a thin sheet of tissue or layer of cells acting as a boundary, lining, or partition in an organism,... yes I looked it up,...
Chow,...!
x = Alicia's age
Amy is 8 years older than twice her cousin Alicia's age so Amy's age = 2x + 8
Sum of their ages is less than 32
x + 2x + 8 < 32
3x + 8 < 32
3x < 24
x < 8
So Alicia's age is greater than 0 but less than 8 years old
(0 < x < 8)
Answer:
A) 0 < x < 8
