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2 years ago

What is the constant of proportionality between y and x in the graph

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

y/x =2/3

Step-by-step explanation:

you just need see at one point. for example: (3, 2)

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3 (2x-4)=2 (x+4) solve the following problem

ratelena [41]

3(2x-4)=2(x+4)
6x-12=2x+8
6x-2x=8+12
4x=20
x=20/4
x=5

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3 years ago

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

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1 year ago

Find the measurement of angle m.

Musya8 [376]

Answer:

m = 35°

Step-by-step explanation:

Supplementary angles, sum = 180°

m + 145° = 180°

m = 180° -145°

m = 35°

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3 years ago

The school system is trying to help their students be more successful. They are going to hire tutors to help. They must have mor

dexar [7]

Answer:

a. $x-y > 0$

b. $x+y \leq 50$

c. x=26; y=24 or (24,26)

Step-by-step explanation:

Let x = number of teachers hired.

Let y = number of tutors hired.

Now solving for part a we get

a. Write an inequality that represents the statement that the number of teachers hired must exceed the number of tutors hired.

$x-y > 0$

solving for part b we get;

b. Write an inequality that represents the statement that the maximum number of teachers and tutors is 50.

$x+y \leq 50$

solving for part c we get;

c. Choose a point that satisfies the situation, and explain why you chose that number of tutors and teachers.

Now we know that $x-y > 0$ also $x+y \leq 50$

x=26; y=24

(24,26)

Explanation: To make number of teacher more than number of tutors this is the maximum value we can achieve for the requirement.

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3 years ago

Name the values of the 5s in the number 5,500

KiRa [710]

Answer:

5- thousand 5- hundred - 0 tens 0- ones

Step-by-step explanation:

ywww

5 0

3 years ago

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What is the constant of proportionality between y and x in the graph​

What is the constant of proportionality between y and x in the graph