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Olegator [25]
3 years ago
6

A system of equations is shown.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

x+y=8

Step-by-step explanation:

2(3x+y=20)

6x+2y=40

2x-2y=8

8x=48

x=6

18+y=20

y=2

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Find the area of the shaded sector.
Vladimir [108]

Given that,

Radius of the circle, r = 8.91 cm

Angle, \theta=81^{\circ}

To find,

The area of minor sector.

Solution,

The formula for the area of minor sector is given by the formula as follows :

A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{81}{360}\times \pi \times (8.91)^2\\\\A=56.11\ \text{cm}^2

So, the area of the shaded sector is 56.11\ \text{cm}^2.

8 0
3 years ago
How do I solve 1/10x+5=-3x-13+4x ?
Temka [501]

Answer:

x = 20

I am not sure if you wanted the answer. Sorry!

Step-by-step explanation:

Let's solve your equation step-by-step.

1/10 x + 5 = - 3x - 13 + 4x

Step 1: Simplify both sides of the equation.

1/10 x + 5 = - 3x - 13 + 4x

1/10 x + 5 = - 3x + - 13 + 4x

1/10 x + 5 = (<em>- 3x + 4x</em>) + (- 13)

1/10 x + 5 = <em>x</em> + - 13

1/10 x + 5 = x - 13

Step 2: Subtract x from both sides.

1/10 x + 5 - <em>x </em>= x - 13 - <em>x</em>

- 9/10 x + 5 = - 13

Step 3: Subtract 5 from both sides

- 9/10 x + 5 - <em>5</em> = - 13 - <em>5</em>

- 9/10 x = - 18

Step 4: Multiply both sides by 10/(- 9).

(<em>10/ - 9</em>) * (- 9/10 x) = (<em>01/ - 9</em>) * (- 18)

x = 20

Hope this helps!

4 0
3 years ago
Read 2 more answers
Which shows three ordered pairs that are all solutions of the equation y = x + 4?
svetoff [14.1K]
When x = 1, y = 1 + 4 = 5

When x = 3, y = 3 + 4 = 7
When x = 5, y = 5 + 4 = 9
When x = 7, y = 7 + 4 = 11

Therefore, the correct answer is option D.
6 0
3 years ago
Read 2 more answers
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares n
e-lub [12.9K]

Given:

Some boxes are fully colored.

Each fully colored ten block represents 1 whole.

The number of colored boxes will be divided into 11 equal part.

To find:

The number of squares need to be colored on each of the 10 blocks.

Step-by-step explanation:

From the given figure, it is clear that,

Number of colored box = 55

The number of colored box will be divided into 11.

\dfrac{55}{11}=5

Therefore, 5 squares need to be colored on each of the 10 blocks.

5 0
3 years ago
What are the zeros of the polynomial function f(x)=x^3-x^2-12x
Ostrovityanka [42]

Answer:

{0, 4 and -3}

Step-by-step explanation:

f(x)=x^3-x^2-12x can be factored, starting by taking out the 'x' factor:

f(x)=x^3-x^2-12x = x(x^2 - x - 12), and then by factoring the quadratic:

f(x) = x(x - 4)(x + 3) = 0

Then the zeros are {0, 4 and -3}.

7 0
3 years ago
Read 2 more answers
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