Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option
Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)
In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find
Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)
Hope this helps :)
Answer:
57.39
[tex]440 \: ( 1 + \frac{5t}{46 + \: {t}^{2} } ) \\ 440 \: ( \frac{6t}{46 {t}^{2} } ) \: ( \: multiply \: 440 \times 6t) \\ \frac{2640}{46} \\ = 57.39 or 57.30
For any circle with Cartesian equation
,
we have that the centre of the circle is
, and the radius of the circle is
.
So in the case that
,
we essentially have that
.
So the centre of the circle is
, and the radius is
.
Answer: Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Step-by-step explanation:
Given: Hourly earning = $8.00
gas allowance per day = $3.50
Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)
Let h = number of hours
Pay per day = 8h +3.50
If Emily worked for 5 hours, then put h= 5, we get
Pay per day = 8(5) +3.50
= $ 40 +3.50
= $ 43.5
Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
