1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
2 years ago
5

4. Mr. Perez's science students conducted a wildlife count in the local forest. The results of their count are shown in the tabl

e. 25 Squirrel Rabbit 10 A. Find the angle measure for each section. Deer 10 Raccoon 5 alo a circle aranh​
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Circle graphs are used to display the relationship between variables using a complete circle

The angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

The count of the animals are given as:

  • Squirrel = 25
  • Rabbit = 10
  • Deer = 10
  • Raccoon = 5

The total count of animals is:

\mathbf{Total = 25 + 10 +10 + 5}

\mathbf{Total = 50}

The angle measure of each section is then calculated using:

\mathbf{Angle = \frac{Animal \times 360}{Total}}

So, we have:

\mathbf{Squirrel = \frac{25 \times 360}{50} }

Simplify the numerator

\mathbf{Squirrel = \frac{9000}{50} }

Divide

\mathbf{Squirrel = 180}

\mathbf{Rabbit= \frac{10\times 360}{50} }

Simplify the numerator

\mathbf{Rabbit= \frac{3600}{50} }

Divide

\mathbf{Rabbit= 72}

\mathbf{Deer= \frac{10\times 360}{50} }

Simplify the numerator

\mathbf{Deer= \frac{3600}{50} }

Divide

\mathbf{Deer= 72}

Lastly, we have:

\mathbf{Raccoon= \frac{5\times 360}{50} }

Simplify the numerator

\mathbf{Raccoon= \frac{1800}{50} }

Divide

\mathbf{Raccoon= 36}

Hence, the angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

See attachment for the circle graph

Read more about circle graphs at:

brainly.com/question/13298277

You might be interested in
Find the minimum sample size when we want to construct a 90% confidence interval on the population proportion for the support of
kogti [31]
N = 73
Hope this helps
4 0
3 years ago
Dayand picked apples 42 hours sleep at 28 apples in the first hour and at the end of 2 hours she had 49 how many apples did she
SCORPION-xisa [38]
Subtract 28 from 49 which is 21 picked in the second hour
6 0
3 years ago
PLEEEEEEEEEASE HEEEEEEEEELP
morpeh [17]

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

7 0
3 years ago
Hey if you could help me with this it'd mean a lot I can't figure it out
Blababa [14]

Answer:

L = 12  S = 5

Step-by-step explanation:

L+S=17

3L+2S=46

Multiply the first equation by -2

-2L -2S = -34

Then add it to the second equation

-2L -2S = -34

3L+2S=46

------------------

L = 12

Now we can find S

L+S = 17

12 + S = 17

Subtract 12 from each side

S = 17-12

S = 5

6 0
3 years ago
What is 44 in simplified radical form? A.11/4 B.11/2 C.4/11 D.2/11
Aleksandr-060686 [28]
C.4/11 is the answer to your question
6 0
3 years ago
Other questions:
  • #8 can anyone help? I need help solving this and showing the work
    5·2 answers
  • Divide 15 in the ratio 3:2
    9·1 answer
  • Horizontal lines are __________ perpendicular to vertical lines. question 10 options:
    13·1 answer
  • A moving company charges a flat rate of $75 plus an additional $0.19 per miles driven. Which inequality correctly represents how
    8·1 answer
  • Need help please help
    8·1 answer
  • a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost
    5·1 answer
  • How would I do this please help.
    6·1 answer
  • A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?
    10·2 answers
  • Which expression is equivalent to (3x2+3x−3)−(6x2−4x−2)?
    8·1 answer
  • If q stands for "This dog is big and r stands for "Lazy dogs do not play" write each of the following in symbolic form.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!