Question 3
Based on your observations, what can you conclude about the relationship between the area of the sector, the measure of the corresponding central angle, and the are of circle?

Answer:

$608.33 or $608.32645 not rounded

Step-by-step explanation:

A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5

A=500(1+0.04/1)^1x5

A=500(1.04)^5

A=500(1.2166529)

A=608.32645

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Answer:

89m ^2

Step-by-step explanation:

purple 8x13 = 104

triangle 1/2(5)(6) = 15

104-15 = 89

Answer:

20.39

Step-by-step explanation:

15% of 29.99 is 4.4985

so

29.99-4.5

=

25.49

subtract the 20%

20% of 25.49

=

5.1

lastly,

25.49-5.1

=

20.39

Answer:

You use 2 cups of blue paint.

Step-by-step explanation:

In this case, you can use a rule of three to find the amount of blue paint you need when you use 4 cups of yellow paint given that you mix 1/3 cups of blue paint for every 2/3 cup of yellow paint:

2/3 cup of yellow paint    →    1/3 cups of blue paint

4 cups of yellow paint    →                 x

x=(4*1/3)÷2/3

x=4/3÷2/3

x=4*3/3*2

x=12/6

x=2

According to this, the answer is that you use 2 cups of blue paint.

Answer:

y = 4/3x - 14/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6 - (-2) / 8 - 2

4/3

y = 4/3x + b

-2 = 4/3(2) + b

-2 = 8/3 + b

-14/3 = b

Answer:

20/5 = 4

Step-by-step explanation:

since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.

Answer:

6.7 hours

Step-by-step explanation:

If one can do 50 then three can do 150.

So 1000÷150=6.66666666666

Hope this helps

Answer:

sdfghhhj

Step-by-step explanation:

ther is no qustions

Answer:

Nothing there.

Step-by-step explanation:

Please add a photo of the equation or something.

Answer: [tex]\$0.15[/tex]

Step-by-step explanation:

Given

Six apples and one pear cost [tex]\$1.07[/tex]

Also, three apples and six pears costs [tex]\$1.47[/tex]

Suppose [tex]x[/tex] and [tex]y[/tex] be the price of apple and pear. So, we can write the cost as

[tex]\Rightarrow 6x+y=1.07\quad \ldots(i)\\\Rightarrow 3x+6y=1.47\quad \ldots(ii)\\\text{solve (i) and (ii) we get}[/tex]

[tex]x=0.15,\ y=0.17[/tex]

The cost of an apple is [tex]\$0.15[/tex]

Answer:

(x+8)= 10 so 8 subtracted from 8 is zero and 8 subtracted from 10 is 2 so the

the answer is 2

Answer:

The difference in amount = $430

Step-by-step explanation:

1- Annual contract:

The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.  

This means that, if you left after 8 months, you will have to pay for 10 month.

Total paid = monthly payment * 10

Total paid = 535 * 10 = $5350

2- Month-to-month contract:

You will only paid for the 8 months you stayed,

Total paid = monthly payment * 8

Total paid = 615 * 8 = $4920

3- Getting the difference:

We can note that a month-month contract is a better option if you intend to stay for only 8 months

Difference = 5350 - 4920 = $430

Hope this helps :)

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

Step-by-step explanation:

(−4, −4)

2. (−4, 6)

3. (6, 6)

4. (6, −4)

Answer:

14

Step-by-step explanation:

Answer:

answer: 14

Step-by-step explanation:

got it right

Answer:

yes

Step-by-step explanation:

4<8*2+8

4<16+8

4<24

4 ≥2+1

4 ≥3

Answer: 16

Step-by-step explanation:

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

Answer:

There is nothing here

Step-by-step explanation:

Answer:

Step-by-step explanation:

a , b & c

Answer:

-8+(-1)=-9

2-7=-5

(-8)(-2)=16

-42=-7=false

Step-by-step explanation:

Answer:

AB= 16❤

Step-by-step explanation:

OB= 10

EB²+6²= 10²

EB²= 64

EB=8

2×8=16

The length of line AB in the intersecting chords is determined as 16 units.

The length of line AB is calculated by applying intersecting chord theorem as follows;

The radius of the circle = 10

Applying Pythagorean theorem as follows;

EB² + 6²= r²

where;

EB² + 6²= 10²

EB² = 10² - 6²

EB² = 100 - 36

EB²= 64

EB = √ 64

EB = 8

Since EB is the half of length AB, then the value of the length AB is calculated as;

AB = 2 x 8

AB = 16 units

Learn more about intersecting chords here: https://brainly.com/question/13950364

#SPJ2

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Answer:

13.8 I believe is the answer

Answer:

35

Step-by-step explanation:

Area of a triangle= B*H/2 so 14*5/2=35

Answer:

35

Step-by-step explanation:

I took the quiz