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ludmilkaskok [199]
2 years ago
14

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance

beam.
Mathematics
1 answer:
Maslowich2 years ago
3 0

A linear equation that represents the model is: x + 6 = 10; x = 4

<h3>How to solve linear equations?</h3>

Let us first define the variables based on the attached image of the ball balance:

Let x = number of balls that contains the square.

On the left side, we have; square + 6 balls

On the right side, we have; 10 balls

To balance this, we have;

x + 6 = 10

x = 10-6

x = 4

Thus, a linear equation that represents the model is:

x + 6 = 10; x = 4

Read more about Linear equations at; brainly.com/question/9406333

#SPJ1

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If xh=10 feet and mxy =100 degrees then determine the arc length of xy
schepotkina [342]

Answer:

The arc length XY is equal to \frac{50}{9}\pi\ ft  or 17.4\ ft

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

C=2 \pi r

we have

r=xh=10\ ft

substitute

C=2 \pi (10)\\C=20\pi\ ft

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

m\angle XHY=arc\ XY=100^o ---> by central angle

\frac{20\pi}{360^o}=\frac{x}{100^o}\\\\x=20\pi(100)/360\\\\x=\frac{2,000}{360}\pi\ ft

Simplify

x=\frac{50}{9}\pi\ ft ----> exact value

To find out the approximate value

assume

\pi=3.14

substitute

x=\frac{50}{9}(3.14)=17.4\ ft ----> approximate value

therefore

The arc length XY is equal to \frac{50}{9}\pi\ ft  or 17.4\ ft

7 0
4 years ago
HURRY PLEASE HELP
Maslowich

Answer:

2(x+3) (x+1)

Step-by-step explanation:

2x² + 8x + 6

Splitting the middle term (8x)..

2x² + 6x + 2x + 6 =0

x (2x + 6) + 1 (2x + 6)

(2x + 6) (x + 1)

2(x + 3) (x + 1)

Hence, option C. is the correct answer.

8 0
2 years ago
Which of the following graphs represent a nonproportional relationship? Select all that apply.
natka813 [3]

Answer:

2nd, 4th and 5th one

Step-by-step explanation:

Hey There!

So remember in order for it to be a proportional relationship it has to be a straight line and it has to go through the origin (0,0)

The 2nd, 4th and 5th ones are non proportional relationships

Why? Well because they don't go through the origin

3 0
3 years ago
Read 2 more answers
Please help i need the answer asap!!!
IrinaK [193]

Answer:

35 cm

Step-by-step explanation:

You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.

a² = b² + c² - 2bc cos A

a² = (36²) + (52²) - 2(36)(52) cos 42°

a² = (1296) + (2704) - (3744)(0.7431448255)

a² = (4000) - (2782)

a² = 1218

a = ✓1218

a = 34.9 cm

7 0
3 years ago
Is the height of a person and the person's age linear?Why or why not?
abruzzese [7]
Its not linear because growth rates vary with age, gender also plays a role in the change
6 0
3 years ago
Read 2 more answers
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