What is the perimeter, to the nearest hundredth of a unit, of polygon
ABCDE ?

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

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

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

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:

B. 3^(2/3)

Step-by-step explanation:

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

Answer:

hope this help you a lot but it's too late

can you mark me as brainlist

Answer:

b

Step-by-step explanation:

Answer:

I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.

Step-by-step explanation:

Meaning...

shift ∠U 2 blocks to the left on the x-axis

shift ∠V 2 blocks vertically (up) on the y-axis

shift ∠W 2 blocks diagonally to the right

I really hope this helps! I pray this is correct for your sake!

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:

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:

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:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.

Step-by-step explanation:

Answer:

any equation that has -5x +/- any number

Step-by-step explanation:

All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same

Answer:

D

Step-by-step explanation:

This is an example of the Pythagorean theorem.

In triangle BEH, the sum of the squares of the sides of the two smaller sides, BE and BH is equal to the longest side squared, EH.

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

Answer:

I believe it is C.

Answer:

B

Step-by-step explanation:

because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.  

Answer:

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

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

Answer:

this year is 2021

Step-by-step explanation:

Answer:

What are the answer choices?

Step-by-step explanation: ??

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

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:

(-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!

Answer:

16,872

Step-by-step explanation: