The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are $x$ and $y$ .

To find the constant of proportionality, all we have to do is divide any value of $y$ by its corresponding value of $x$ . Let's take the values in the first row of the table. We know that $x=2$ and $y=12$ , so the constant of proportionality is $\frac{y}{x}=\frac{12}{2} =6$ . Hope this helps!

7 0

3 years ago

Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

$\frac{sin30}{4}=\frac{sin18.6}{c'}$

$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0

3 years ago

Whats the answer???

Nookie1986 [14]

Answer:

35 I think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is a 2c − 5b − c a − b simplified?

timama [110]

All you have to do is combine like terms. 2c and (-c) are like terms (-5b) and (-b) are like terms and a is a term. So, 2c combined with (-c) is C. (-5b) and (-b) combined is (-6b). Since a doesnt need to be combined with anything, you leave it as it is so your answer will then be c - 6b + a (this is the answer assuming that there is a + in front of the a. If there is a - sign, then just change your +a to -a at the end

7 0

3 years ago

M 5x + 1 A 3x (4x + 2)9 N L If LA is an altitude of triangle LMN, find the following: MNE​

M 5x + 1 A 3x (4x + 2)9 N L If LA is an altitude of triangle LMN, find the following: MNE