Answer:
B) 
Step-by-step explanation:
To find the expression equivalent to 
, we must simplify the given expression. This can be done by applying an exponent rule:
In the context of our problem, we would have:
Therefore, when that exponent is distributed, we get:
Simplified, we have:
<u>Answer:</u>
The basic identity used is 
.
<u>Solution:
</u>
In this problem some of the basic trigonometric identities are used to prove the given expression.
Let’s first take the LHS:
Step one:
The sum of squares of Sine and Cosine is 1 which is:
On substituting the above identity in the given expression, we get,
Step two:
The reciprocal of cosine is secant which is:
On substituting the above identity in equation (1), we get,
Thus, RHS is obtained.
Using the identity , the given expression is verified.
Answer:
(a) $6550
(b) $1511.54
Step-by-step explanation:
(a) You can solve the equation
... 12 × (monthly salary) = $78,600
by dividing both sides of the equation by 12.
... (monthly salary) = $78,600/12 = $6,550
(b) You know there are 52 weeks in a year, so you know that ...
... 52 × (weekly salary) = $78,600
... (weekly salary) = $78,600/52 ≈ $1,511.54 . . . . . . . divide by 52
The decrease in dollars is $1829 which means that at the end of last year, Hong had $4371 in his account.
Answer:
43.82 mph
266.67 feet
Step-by-step explanation:
Given :
S = √30fl
S = speed of car
f = drag Coefficient
l = Length of skid mark
If f = 0.8 ; l = 80 feets
s = √30fl
s = √(30*0.8*80)
s = √1920
s = 43.817
s = 43.82 mph
B.)
s = 80 mph
f = 0.8
s = √30fl
80 = √30*0.8*l
80 = √24l
Square both sides
80² = 24l
6400 = 24l
l = 6400/24
l = 266.67 feets
