Which fraction is greater than the fraction represented by the model? *
Mark only one oval.

a. 1/4
b. 7/16
c. 1/8

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Answer:

3/8

Step-by-step explanation:

We want to find out how much each person gets per box, so all we have to do is divide the three boxes by three and the 8 by three to get how much each person gets. When we do that, we get 3/8. Literally, that means each boy gets 3/8 of a box of cereal.

Answer:

16.97 feet

Step-by-step explanation:

a^2=b^2+c^2

24^2=576

b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet

Answer:

1 3/7 or 10/7

Step-by-step explanation:

2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

Answer:

Step-by-step explanation:

Formula:

r = √[ (3 * v) / (π * h) ]

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

Step-by-step explanation:

Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )

The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.

a = 4                              First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]

b = x                         Second: [tex]16+x^{2}=72.25[/tex]  

c = 8.5                          Third: [tex]x^{2}=56.25[/tex]

                                  Fourth: [tex]x=\sqrt{56.25}[/tex]

                                      Fifth: x = 7.5

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Answer:

the quotient of a number y and negative three point six is less than six point five.

Answer:

StartFraction 1 Over 16 EndFraction of a pound

Step-by-step explanation:

Total pounds of sunflower seeds Jordan bought = 9/16 of a pound

Number of snack bags for his lunch = 9

What is the weight of sunflower seeds in each snack bag?

Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch

= 9/16 ÷ 9

= 9/16 × 1/9

= (9*1) / (16*9)

= 9 / 144

= 1/16

Weight of sunflower seeds in each snack bag = 1/16 of a pound

Answer:

1/16 of a pound aka A is the correct answer.

Step-by-step explanation:

Answer:

would not be able to use 3 1/2 ft

Step-by-step explanation:

8.5 + 4.5 > 3rd side   ∴ 3rd side must be less than 13 feet

4.5 + 3rd side > 8.5   ∴ 3rd side must be greater than 4 feet

Answer:

0.89

Step-by-step explanation:

The probability of Larry making the next free throw is, 0.89

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, we can assume that Larry Bird has a 89% chance of making any given free throw.

Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.

Therefore, the probability of Larry making the next free throw is also 89%.

Thus, the probability of Larry making the next free throw is, 0.89

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ2

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Answer:

1

Step-by-step explanation:

the first one because if you take the expression that you want, and expanding it out, you will get the first one.

Answer:

A

Step-by-step explanation:

(a^2)^3 (b^5)^3

The powers multiply when written like this. They don't add.

a^6 b^15

A

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

Answer:

c

Step-by-step explanation:

divide the two numbers.

Answer: 97

Step-by-step explanation:

10+3+3+33+33+15

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!