a circle has a diameter of 18. the sector has a central angle of 30 degrees. what is the area of the sector?

this is example

So, first we need to write the given ratio as fraction,

= 8/18

= (8 × 2)/(18 × 2)

= 16/36

= 16 : 36 (one equivalent ratio),

So, 16 : 36 is an equivalent ratio of 8 : 18.

Now we will find another equivalent ratio of 8 : 18 by using division.

Similarly, first we need to write the given ratio as fraction,

= 8/18

= (8 ÷ 2)/(18 ÷ 2)

= 4/9

= 4 : 9 (another equivalent ratio)

So, 4 : 9 is an equivalent ratio of 8 : 18.

Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.

2. Frame two equivalent ratios of 4 : 5.

Solution:

To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.

First we need to write the given ratio as fraction,

= 4/5

= (4 × 2)/(5 × 2)

= 8/10

= 8 : 10 is one equivalent ratio,

Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;

= 4/5

= (4 × 3)/(5 × 3)

= 12/15 is another equivalent ratio

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.

The two equivalent ratios of 5:8:4 are 8: 10 and 12: 15.

The fraction is defined as the division of the whole part into an equal number of parts. In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

First, we need to write the given ratio as a fraction,

F= 8/18

F= (8 × 2)/(18 × 2)

F= 16/36

F= 16 : 36 (one equivalent ratio),

16: 36 is an equivalent ratio of 8: 18.

Find another equivalent ratio of 8: 18 by using division. Similarly, first, we need to write the given ratio as a fraction,

F= 8/18

F= (8 ÷ 2)/(18 ÷ 2)

F= 4/9

F= 4 : 9 (another equivalent ratio)

4: 9 is an equivalent ratio of 8: 18.

Therefore, the two equivalent ratios of 5:8:4 are 16: 36 and 4: 9.

To know more about equivalent ratio follow

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Answer:

(2x+3)(3x+2)

Step-by-step explanation:

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Answer:

(2x + 3)(3x + 2)

Step-by-step explanation:

[tex]6x^2+13x+6 \\ \\ = 6x^2+9x + 4x+6 \\ \\ = 3x(2x + 3) + 2(2x + 3) \\ \\ = (2x + 3)(3x + 2)[/tex]

Answer:

Step-by-step explanation:

When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial.  If the remainder is not zero, the remainder is the function vaue for that divisor.

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

Answer:

7.1437 is greater

Step-by-step explanation:

Answer:

7.133 < 7.1437

Step-by-step explanation:

Line up the numbers till you find one that is greater

Answer: squareroot of 58

You can solve this problem simply by using the distance formula . Using the distance formula we can solve this problem by just placing the numbers and then solving the equation.

Answer:

90,000

Step-by-step explanation:

10^4=10,000.

2*10,000=20,000

7*10,000=70,000

20,000+70,000=90,000

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

[tex]\dfrac{28.80}{144}=\$0.2[/tex]

owner sells the pen at $0.4 i.e. price marked up by

[tex]\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%[/tex]

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

[tex]\Rightarrow 0.2\times (1+0.5)=\$0.3[/tex]

Answer: Kianna is incorrect, if Elena’s house was a reflection of her house across the y-axis, the coordinates would be (-4,2).

Step-by-step explanation:

Answer: w+x=90

z=y+90

Step-by-step explanation: because the sum of the inner angles of triangle is 180. given that one angle is 90 degrees the sun of x and w has to be 180-90=90

for the second part, you have to use the triangle exterior angle theorem: an exterior angle of a triangle is equal to the sum of the opposite interior angles. The opposite interior angles in this case is 90 degrees and y

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

Answer:

Financial Literacy = 25

Model with mathematics:

a) cranes = 40 panthers = 40

b) yes, finding the mean is a good way of determining which team has the better record, because "finding the mean" is just finding the average.

Step-by-step explanation:

Financial Literacy:

24 = [tex]\frac{x+15+20+10+12+20+16+80+18}{9}[/tex] → [tex]24 = \frac{191}{9}[/tex]

24×9=x · 191

→ 216 = x · 191

→ 216-191=x

x = 25

Model with Mathematics:

Add all six wins and divide by how many seasons there are. (do it for both sides. Also, I'm too lazy to type it out.)

Answer:  x = 10

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

(2x + 3) + (5x + 17) + 90 = 180

2x + 3 + 5x + 17 + 90 = 180

7x + 110 = 180

7x = 70

x = 10

It is because the moon revolves around Earth.

Hope it helps you...

Answer:

a

Step-by-step explanation:

Answer:

21 packs of gatorade would cost $36.88.

Step-by-step explanation:

Mathematically:

8.78 / 5 = 1.756

1.756 * 21 = 36.876 ~= $36.88

Answer:

142.

Step-by-step explanation:

=12×71/3×2

=852/6

=142

Answer:

8

Step-by-step explanation:

The degree of a polynomial refers to the term with the highest exponent.  Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5.  When you multiply

x3*x5 = x3+5 = x8.  

So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.

Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second.  So you'll have something like ax3 * bx5.  That will result in x3*x5=x8, so your product will have degree 8.

Answer:

I'm not too sure what you mean but since there was no image I tried to look up how to tell if angles are corresponding based on angle degree and the most I got was the angles will be equal but only if there is a transversal cur but none of the answers equal each other

Step-by-step explanation:

so what advice I can give you is corresponding angles are usually the same degree but on a different level. like on the first parallel line there is an angle and on the second (or whatever) there is another angle (on the same side of the first) -meaning they will both be on the right or the left- and yeah there you go

if you have any questions comment and I'll try my best to help

Answer:

12 cm difference

Step-by-step explanation:

√64 cm² = 8 cm

8 cm x 4 = 32 cm perimeter

√121 cm² = 11 cm

11 cm x 4 = 44 cm perimeter

44 cm - 32 cm = 12 cm difference

Answer:

y=2x+3

The coefficient attached to x is the slope and the number being added to it is the y intercept.

Please see the attached image

Answer:

Select all possible values for x in the equation.

x cubed=375.

5*the cubed root of 3

the cubed root of 375

75*the cubed root of 5

125*the cubed root of 3

I am trying to do a practice test to prepare for my real test tomorrow and I don't understand the question. Can anyone help explain it plz any help would be great.

Step-by-step explanation:

Answer:

answer is 16

good day mate

Answer:

The area of the circle is 28.26 m

Step-by-step explanation:

A = π r^2

A = (3.14) × 3^2

A = 28.26

Area of the circle = 28.26 m

(I'm sorry but I think you made a mistake, PI is 3.14 not 3.15) :)

Given Info : What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 .

To Find :- Show or explain how you got your answer.

Solution:-

The expression is 6x-3 , and we need to find its value at x = 5 , On putting x =5 we have

6*5-3 = 30-3 = 27.

This value will come same in case of Pedro, therefore our required answer is 5

Answer:

Tony should add $7.70

Step-by-step explanation:

22% = 0.22

0.22 x $35 = $7.70

Answer:

40

Step-by-step explanation:

Answer:

24-10-10=4

4/2=2

10*2=20

Step-by-step explanation: