Solve the problem 4747+38383

The measure of the arc of the sinkhole that falls within the restaurants property is -21°

Let x be the angle at the dollar store at the intersection

Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3

Since both x and y are supplementary,

x + y = 180°

x + 2x/3 = 180°

5x/3 = 180°

x = 180° × 3/5

x = 36° × 3

x = 108°

The gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°

Also, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°

Let k' be the angle subtended by the restuarant at the sinkhole.

Since the sinkhole is a circle, we have that

x + z + k + k' = 360°

x + x + 88° + 2x/3 + 5° + k' = 360°

8x/3 + 93° + k' = 360°

8x/3 + k' = 360° - 93°

8x/3 + k' = 267°

So, making k' subject of the formula, we have

k' = 267° - 8x/3

Substituting the values of the variables into the equation, we have

k' = 267° -  8 × 108°/3

k' = 267° - 288°

k' = -21°

So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°

Learn more about measure of arc here:

https://brainly.com/question/16916082

Answer:

Step-by-step explanation:

By the same-side interior angles theorem,

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

The length of the arc shown in red is

Step-by-step explanation:

step 1

Find the circumference of the circle The circumference is equal to we have substitute

step 2

Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify

Answer:

slope =1

Step-by-step explanation:

(1, 1)=(x1,y1)

(9, 7)=(X2, y2)

now,

slope=(y2-y1)/(x2-x1)

=(7-1)/(9-1)

=8/8

=1

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]

Simplify

[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

7200000

Step-by-step explanation:

The fact that one chooses an oatmeal cookie, eating it and then choosing a peanut butter cookie from a container of cookies is an independent event.

It should be noted that dependent events influence the probability of the other events.

In this case, the fact that one chooses an oatmeal cookie, eating it, and then choosing a peanut butter cookie from a container of cookies is an independent event.

On the other hand, drawing the name "Sally" from a hat and replacing it, and then drawing the name "Malcolm" from the hat is a dependent event.

Learn more about dependent event on:

https://brainly.com/question/1673286

Answer:

the answer is answer nice answer my answer

Step-by-step explanation:

if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at https://brainly.com/question/12105335

Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

Answer:

y=-41

Step-by-step explanation:

[tex]\frac{y+31}{2} =-5\\y+31=-5 \times 2\\y+31=-10\\y=-10-31\\y=-41[/tex]

Answer:

H

Step-by-step explanation:

If you convert these fractions into decimals:
-2 1/2 = -2.5
-2.47 = -2.47
-2/5 = -0.4
5 = 5
21/4 = 5.25
You can see that the order from lest to greatest is answer H

Hope this helps :)

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle.

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle with a measure of 180°.

hope this helps!! p.s. i really need brainliest :)

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

What is I C T computer SCHOOL hi zip am SC 9

Step-by-step explanation:

Different means to minus, so minus 2 from 6. Which gives you the answer 4.

Answer:

83

Step-by-step explanation:

first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place

so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83

Answer:

<E=<I (it is a rotated triangle of 180 degrees)

<F=<H (they are both right triangles)

<EGF=<IGH (vertical angles are congruent)

segment FE=segment IH (cpctc)

segment EG=segment HG (cpctc)

segment FG=segment IG (the little dashes on the segments mean that they are congruent.

C. How much of the first payment on the mortgage is applied to the principle

Answer:

option c

Step-by-step explanation:

This is the net of square pyramid.

Base of the square pryamid is square and all the other face are triangle.

[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]

Answer:

41/25

Step-by-step explanation:

So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.

Answer:

[tex]\frac{41}{25}[/tex]

Step-by-step explanation:

[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]

[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]

[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]

[tex]1 + 1- \frac{9}{25}[/tex]

add the numbers

[tex]2 -\frac{9}{25}[/tex]

Calculate the difference

[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.

Answer:

9.8

Step-by-step explanation:

The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4

Y -3 - 6 = -9

d=√(4)²+(9)²

d=√(16 + 81)

d=√97

d = 9.8488578018 or 9.8

Answer:

The first answer choice is correct due to its Y-Intercept

Step-by-step explanation:

Of your 2 answer choices, the first answer choice is the best.

This is because your Y-Intercept is one of the most important things you look our first.

It should be (0,-4) which the first one clearly has.

Now, you could look at the growth, it is growing at a different rate that is increasing as opposed to a constant rate.

Both of them have that, but like I said the Y-Intercept Clearly exposed the right answer.

Therefore The first answer choice is correct.

Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2

The area of the square pyramid is the amount of space on it

The total surface area of each cut surface is 33.28 square inches

The given parameters are:

Base (b) = 4 cm

Height (h) = 6 cm

Start by calculating the slant height (l) using:

l = √((4/2)^2 + 6^2)

l = 6.32

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 4 * 6.32

Evaluate the product

L = 50.56

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 50.56 + 4^2

Evaluate

T = 66.56

Divide the total surface area by 2

T/2 = 33.28

Hence, the total surface area of each cut surface is 33.28 square inches

Read more about areas at:

brainly.com/question/24487155

Based on the times that the machine produces cookies that have the optimal amount of chips, the proportion produced daily with the optimal number of chips is 62.5% or 0.625.

This can be found by the formula:

= (Hours that optimal cookies are produced) / Hours that the machine runs per day

5:30 am is the same as 5.5 hours because 30 minutes is half an hour.

1:30 pm is also the same as 13.5 hours by the above rule and in 24 hour notation.

Proportion of optimal cookies is therefore:

= (11 am - 6am) / (13.5 - 5.5)

= 5 / 8

= 0.625

= 62.5%

Find out more on optimal production at https://brainly.com/question/6348653.

✿————✦————✿————✦————✿————✦————✿

So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.

10.4 = (x1 +x2 +x3 ... +x20 )/20

Then;

10.4*(20) = (x1 +x2 +x3 ... +x20 )

208 = sum of the first 20 seasons

We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.

Mean = (208+14)/21  

✿————✦————✿————✦————✿————✦————✿

Answer

= 10.6

✿————✦————✿————✦————✿————✦————✿

#carryonlearning

Answer:

8

Step-by-step explanation:

Primes below 10 are 1,2,3,5,7

the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8

Answer:

66+20+x=180(sum of angle in a triangle)

x=180-(66+20)

x=180-86

x=94