At the moment there are 54,210 tagged birds in a certain wildlife refuge. If exactly 20 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?

Answer:

[tex]Minimum = 51^{\circ}[/tex]

Step-by-step explanation:

Given:

[tex]Shape = Heptagon[/tex]

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

[tex]Sides = 7[/tex]

Next, we write out the measure of 1 complete rotation

[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]

The minimum angle of rotation is then calculated as:

[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]

[tex]Minimum = \frac{360^{\circ}}{7}[/tex]

[tex]Minimum = 51.4285714286^{\circ}[/tex]

[tex]Minimum = 51^{\circ}[/tex]

Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]

Answer:

I think it is

Step-by-step explanation:

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Savsvwvsgsvajsmqkabadacags s

Step-by-step explanation:

Hope this helped

Answer:

Step-by-step explanation:

Diameter = 20 cm → radius = 10 cm

Each triangle has its side equal to radius = 10 cm

Each shaded region is the difference of area of the sector and triangle

Each sector is 60° as triangles are equilateral

Area of circle is:

Area of each triangle is:

So the shaded area is:

Since 100π is the area of circle, the shaded area is:

Correct choice is D

Answer:

The answer for the first part would be 3.89 minutes for the eight graders. There are 60 seconds in one minute so you’d have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes. That’s more than 4 minutes, so the seventh graders would earn the points instead.

Step-by-step explanation:

The seventh graders would earn the points instead and awarded 40 points.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points.

If not, the seventh graders earn 40 points.

There are 60 seconds in one minute so, we have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes.

That’s more than 4 minutes, therefore, the seventh graders would earn the points instead.

Hence, 3.89 minutes for the eight graders.

The seventh graders would earn the points instead and awarded 40 points.

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Answer:

3(2+11) = 3x2 + 3x11

Step-by-step explanation:

Answer:

$3500, y= 5000-500x

Step-by-step explanation:

You initially have $5000 which you then subtract $500 from each year, where x represents the number of years that passed.

y= 5000-500x

So after 3 years, it should be

y= 5000-500(3)

=5000-1500

=$3500

Step-by-step explanation:

Angles BEC and KEC are labelled as congruent.

Therefore (6x + 24)° = 10x°, 4x = 24, x = 6.

Hence Angle BEK = (6x + 20)° + 10x°

= (16x + 24)° = 16(6) + 24 = 120°. (C)

The value of ∠BEK will be 120° so option (C) will be correct.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

In other meaning, if you can copy a figure then that copy and the original figure will be congruent.

Given figure has two triangles ΔCBE and ΔCKE.

The angle of (6x + 24)° is the same as (10x)° ( given congruency of angle by double line)

So,

6x + 24 = 10x

10x - 6x = 24

4x = 24

x = 6°

So,

Angle ∠BEK

∠BEK  = (6x + 24) + (10x)

∠BEK  = 6(6) + 24 + 10(6)

∠BEK  = 120°.

Hence "The value of ∠BEK will be 120° ".

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Answer:

You will need 172 packets

Step-by-step explanation:

There's 4 packets in each bucket so you will

need to divide 868 by 4. The asnwer to that is

171.5 so if you round that up to the nearest whole

number you get 172 :)

Step-by-step explanation:

teacher to student:

2:5

student: 60

teacher?

2:5=24:60

total:84....

m not sure

Answer:

-18/5

Step-by-step explanation:

4/5 x -9/2 = 2/5 x -9= -36/10= -18/5

Answer:

Step-by-step explanation:

We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Starting from the left hand side of the expression:

1/1-sin theta + 1/1+cos theta

Find the LCM

[tex]\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}[/tex]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

Answer:

10

Step-by-step explanation:

[tex]\frac{40-20}{4-2} =10[/tex]

Answer:

75 & 21

Check:

75 + 21 = 96

21 * 4 - 9 = 75

Correct!

Answer:

the smaller number is 21 and the larger number is 75

Step-by-step explanation:

First make a simple equation where x = the smaller number and y = the larger number

ie: 96=x+y

Now make an equation to find the larger number.

ie: y=4x-9

Now substitute the y value in the first equation for the y value in the second equation

ie: 96=x+(4x-9)

Then solve for x

ie: x=21

Then plug in your new x value into the first or second equation to solve for y.

ie: 96=21+y

ie: y=75

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

Answer: What is the question?

Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

Answer:

i think you have to divide

Step-by-step explanation:

30/3

x=10

Answer:

44

Step-by-step explanation:

Answer:

it's true

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

9514 1404 393

Answer:

  under

Step-by-step explanation:

On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...

  (4 1/3 wk/mo)($975/wk) = $4225/mo

The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...

  12% × $4225/mo = $507/mo

A gift of $250 falls well within Andy's monthly gift budget limit of $507.

_____

Additional comment

Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.

Answer:the answer is 154682

Step-by-step explanation:

Answer: Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

Answer:

elapsed time: 3 hours and 49 minutes

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18

The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.

We have:

Time in Anchorage = 5:00 a.m.

Time in Tokyo = 11:00 p.m.

The difference between these two-time zone is:

TIme difference = 18 hours

18 hours ahead of Anchorage is Tokyo.

Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.

Learn more about the time zone here:

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Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.