Answer:
20 total flowers
Step-by-step explanation:
9+6=15.
20/4=5
5*3=15
The answer is 20 total flowers.
Answer:
![c = 14.9cm](https://tex.z-dn.net/?f=c%20%3D%2014.9cm)
Step-by-step explanation:
Given
![b = 10cm](https://tex.z-dn.net/?f=b%20%3D%2010cm)
![B = 12^{\circ}](https://tex.z-dn.net/?f=B%20%3D%2012%5E%7B%5Ccirc%7D)
![A = 150^{\circ}](https://tex.z-dn.net/?f=A%20%3D%20150%5E%7B%5Ccirc%7D)
Required
Determine the length of c
First, we calculate C (the third angle of the triangle).
![C = 180 - A - B](https://tex.z-dn.net/?f=C%20%3D%20180%20-%20A%20-%20B)
![C = 180 - 150 - 12](https://tex.z-dn.net/?f=C%20%3D%20180%20-%20150%20-%2012)
![C = 18^{\circ}](https://tex.z-dn.net/?f=C%20%3D%2018%5E%7B%5Ccirc%7D)
Using Sine's law, we make use of:
![\frac{sin\ B}{b} = \frac{sin C}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5C%20B%7D%7Bb%7D%20%3D%20%5Cfrac%7Bsin%20C%7D%7Bc%7D)
By substituting values, we have:
![\frac{sin\ 12}{10} = \frac{sin 18}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5C%2012%7D%7B10%7D%20%3D%20%5Cfrac%7Bsin%2018%7D%7Bc%7D)
Cross multiply
![c* sin\ 12 = 10 * sin\ 18](https://tex.z-dn.net/?f=c%2A%20sin%5C%2012%20%3D%2010%20%2A%20sin%5C%2018)
Make c the subject
![c = \frac{10 * sin\ 18}{sin\ 12}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B10%20%2A%20sin%5C%2018%7D%7Bsin%5C%2012%7D)
![c = \frac{10 * 0.3090}{0.2079}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B10%20%2A%200.3090%7D%7B0.2079%7D)
approximated
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, - 2) and (x₂, y₂ ) = (3, 6)
m =
=
= - 4
Using (a, b) = (5, - 2), then
y + 2 = - 4(x - 5) ← third on list
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Using (a, b) = (3, 6), then
y - 6 = -4(x - 3)
Answer:
The answer is choice C.
Step-by-step explanation: