There are 20 purple(x) or yellow(y) marbles in a bag. The number of purple marbles is 4 less than 2 times the number of yellow marbles. Write a system of linear equations that represents the situation.

Given:

Radius of a circle = 2.1 units

Arc length = 21.2 units

To find:

The central angle in radians to the nearest 10th.

Solution:

We know that the intercepted arc length is

[tex]s=r\theta[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in radians.

Putting the given values, we get

[tex]21.2=2.1\theta[/tex]

[tex]\dfrac{21.2}{2.1}=\theta[/tex]

[tex]10.095238=\theta[/tex]

[tex]\theta\approx 10.1[/tex]

Therefore, the angle in radians is 10.1.

Step-by-step explanation:

Since you are solving for two numbers that multiply into 56 and since we know they are both integers then they have to be an integral multiple of 56 which are 1,2,4,7,8,14,28, and 56. There are also negative values for every single value listed.

I will restate the example products

so 1 would be paired with 56 to get a product of 56

and -1 with -56 would be a product of 56

2 with 28 to get 56

-2 with -28 to 56

4 with 14 to get 56

-4 with -14 to get 56

7 with 8 to get 56

-7 with -8 to get 56

Hope this helps :)

Answer:

All the four vertices of a quadrilateral inscribed in a circle lie on the circumference of the circle. The measure of an exterior angle is equal to the measure of the opposite interior angle.

Step-by-step explanation:

Answer:

m∠A = 9°

Step-by-step explanation:

[tex] \sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree[/tex]

Answer:

i think is D

Step-by-step explanation:

just think

Step-by-step explanation:

[tex]\tt{}6.72 \times 104[/tex]

[tex]\tt{}698.88[/tex]

Answer:

4

kind of confusing question

Answer:

x=1045/13

let x be the unknown side

here 13,19 & 55,x are in proportion

13:19=55:x

13/19=55/x

13x=55×19

x=1045/13

Answer:

X would be 18x

Step-by-step explanation:

Answer:

im pretty sure it'd be 76 weeks!

Step-by-step explanation:

one water tank holds 1216 and loses 5 gallons/week

another water tank holds 1520 gallons and loses 9 gallons/week

youd make an equation:

1216-5x=1520-9x

(each side being the amount of water the tank can hold minus the amount it loses per week [x])

heres how you execute the equation:

1216-5x=1520-9x

-5x=1520-1216-9x

-5x=304-9x

-5x+9x=304

4x=304

x=304/4

76

after you do the equation, you get x=76, meaning 76 weeks! :-)

Answer:

5p + 2(p-2)

simplified to: 7p-4

Step-by-step explanation:

Q. states that shop opens for p hours on weekdays

this means that to find the total number of hours on weekdays it would be 5 times p, thus 5p

On weekends, "shop opens 2 hours less" , which means 2 hours less than p.

Thus hours for both saturday and sunday

2(p-2)

Total would be adding those two together

5p + 2(p-2)

expand 2(p-2)  = 2p-4

thus, 7p-4

Answer:

20

Step-by-step explanation:

A=a+b

2h=6+2

2·5=20

Answer:

16.4

Step-by-step explanation:

Separate it into a triangle and a rectangle.

The rectangle will be 2, 5 and the triangle will be 4, 5, and x with a right angle.

The area of the rectangle section is 10, and the area of the triangle is 6.4.

6.4 + 10 = 16.4.

Answer:

100

Step-by-step explanation:

as in the tens place it is 2 its lesser than 5 so it will be 100

I hope im right!!

Answer:

125 rounded to the nearest hundred is 100.

Step-by-step explanation:

Have a nice day!!!

Answer:

324 square meters

Step-by-step explanation:

Answer:

the bottom one 42.061

upper one 49/2pi = 76.969

Step-by-step explanation:

the bottom one

14^2 - 49pi = 42.061

upper one, put the shaded parts together and that forms a semicircle

49/2pi = 76.969

Answer:

0.5

Step-by-step explanation:

AB and AC are tangents from point A to the circle with center P at points B and C respectively.

Measures of the tangents drawn from external points to a circle are equal.

Therefore,

11y = 3y + 4

11y - 3y = 4

8y = 4

y = 4/8

y = 0.5

Answer:

9

Step-by-step explanation:

get rid of the brackets

x-3=6

then add 3 to both sides

x=6+3

now add

x=9

your answer your looking for is

9

I hope this helps!!!

Have a good day!!

Answer:

x = -4/3

Step-by-step explanation:

Mark me as brainliest now

Answer:

Parallel sides

Step-by-step explanation:

A rectangle has all of its interior angles equal to each other and inclined at a degree of 90.

The two opposite sides of a rectangle are parallel to each other.

Parallel lines are lines that will never meet, no matter how long that they are extended.

If we can extend the two sides of the rectangle facing each other, we will be able to see that they will never meet no matter how far they are extended.

Thus, the rectangle has 2 pairs of parallel lines

Answer:

m > 30

Step-by-step explanation:

Is that what you were looking for? :)

Step-by-step explanation:

=> the correct equation for the given value is

=>. y = 5x + 4

hope it helps and your day will be full of happiness