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
Bas_tet [7]
2 years ago
8

SHOW WORK NOT JUST ANWSER PLS

Mathematics
1 answer:
Fed [463]2 years ago
6 0

when i use "pi," im talking about the greek letter which you might have to write as π, or use in a calculator when entering an answer

all of the answers are underlined after each explanation :)

Question 1:

Area:

The picture shown splits the image into 2 half circles and two triangles. When finding the area, you can look at the two halves as one whole. The area of a circle is calculated by putting the radius to the power of two and multiplying by pi. The picture gives you the diameter, which is 5 feet. The diameter of a circle is twice the radius, so divide 5 by 2, square that number, and multiply by pi to find the area of one whole circle:

  • (5/2)^2*pi
  • 2.5^2*pi
  • 2.5*2.5*pi
  • 6.25*pi

Now we need to find the area of the two triangles. Like the circles, these two triangles make up one whole triangle. The base of the triangle is given: 6 feet. The height of this triangle is also given as 4 feet. The formula for the area of a triangle is base*height/2, so multiply 4 by 6 and divide by 2:

  • 4*6/2
  • 24/2
  • 12

These shapes add up to make the entire figure, so the area will be

<u>12+6.25pi</u>

Perimeter:

To find the perimeter, we need to look at the problem similarly. The perimeter can be thought of as the length around a figure. The formula for the perimeter of a circle, called the circumference, is diameter*pi, so multiply the diameter, 5, by pi to find the distance around the rounded parts of the figure

  • 5*pi

After finding the length around the rounded part, we need the length of the straight part, which is given to us as 6 feet. To find the total perimeter, add up the distances around each part:

<u>6+5pi</u>

Question 2:

Area:

For this question, we need to use the same base*height/2 formula to find the area of the small triangle. At first glance, the base is not obvious. Look on the right side of the rectangle. Notice how it lines up with the right side of the triangle? This side is the base, and it is given as 6 meters. The height is given as 4 meters. Usually you would think of height as how tall something is, but in triangles, a height is a line that will form a 90 degree angle with a base. Multiply 6 and 4, then divide by 2:

  • 6*4/2
  • 24/2
  • 12

Now we need find the area of the rectangle next to the small triangle. The formula for the area of a rectangle is length*width. The length and the width are given as 10 and 6, so multiply 10 and 6:

  • 10*6
  • 60

Finally, add the areas of the triangle and the rectangle:

60+12=<u>72</u>

<u />

Perimeter:

Add up the lengths around the figure- they are already given:

5+5+10+10+6=<u>36</u>

<u />

Question 3:

Area:

This figure is made up of two shapes: A square, and a semicircle, or half circle. Since it is half of a circle, we need to calculate the area of a circle, and divide by two. The problem gives us a diameter of 6, which we know we must divide by two because a diameter is twice the size of the radius, and the formula is radius^2*pi. Divide 6 by 2:

  • 6/2
  • 3

Plug three into the area formula:

  • 3^2*pi
  • 9*pi

Divide by two because it is a half circle and has half the area:

  • 9*pi/2
  • 4.5*pi

Multiply the length and width of the square to find its area:

  • 2*2
  • 4

Now add the areas of the two parts together:

<u>4+4.5pi</u>

<u />

Perimeter:

For the perimeter of the rounded part, use the diameter*pi formula and also divide by 2 because it is a semicircle:

  • 6*pi/2
  • 3*pi

The semicircle also has a bottom that is part of the perimeter and it is 6 millimeters. Add that to 3*pi:

  • 3*pi+6

In a square, all sides are equal, so since one side is 2 millimeters, all four sides are 2 millimeters. Multiply 2 by 4:

  • 2*4
  • 8

Add these perimeters together:

  • 8+3*pi+6
  • 14+3*pi

We're almost done now. Notice how one side of the square is hidden and 2 millimeters of the bottom of the semicircle are hidden? This means that we need to subtract 4 before getting a final answer:

14+3*pi-4=<u>10*3pi</u>

<u />

please let me know if anything is incorrect or hard to understand, hope this helps!!

You might be interested in
Salim had a flock of 300 chickens 15%
Lera25 [3.4K]

Answer:

what is the question

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
[(7+3)x5-4](divided by) 2+3<br> SHOW ALL WORK WILL MARK BRAINLIEST
Nesterboy [21]

Answer:

26

Step-by-step explanation:

[(7+3)5-4]/2+3

-To solve this equation you have to use PEMDAS

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction-

- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])

Step 1) [(10)5-4]/2+3

- First you do "P," parentheses, so you add 7+3=10

Step 2) [50-4]/2+3

- Next you do "M," multiplication, and multiply 10x5=50

Step 3) [46]/2+3

- Then you do "S," subtraction, and subtract 50-4=46

(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)

Step 4) 23+3

- Now we do "D," division, and divide 46/2=23

Step 5) 23+3=6

- Finally we do "A," addition, and add 23+3=26 so the answer is 26

(FYI: "/" means division)

4 0
2 years ago
Each student in fifth grade at Blanton elementary brought $15 to the book fair.they brought $1,245 all together,how many fifth g
dangina [55]
First add 15$ then add $1,245 all together as it says and it should give u the answer
5 0
3 years ago
Read 2 more answers
What is the answer to this​
Alborosie
The answer to the question is b

$9 each hour she works + 7.50 fee
$7.50+$9h= $34.50
7 0
3 years ago
Is 64 inches is greater less than are equal to 5 feet
True [87]
64 inches is greater than 5 feet.

Hope I helped!  <3 
6 0
3 years ago
Read 2 more answers
Other questions:
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!40 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • Find the buoyant force of a rectangular solid of the given dimensions submerged in water so that the top side is parallel to the
    7·1 answer
  • Marsha deposited ​$5,000 into a savings account 2 years ago. The simple interest rate is 3​%. How much money did Marsha earn in​
    13·1 answer
  • If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?
    6·1 answer
  • PLEASE SHOW WORK SO I UNDERSTAND THANKS :)<br> -0.3 * -(11)/(30)
    7·1 answer
  • A physicist places a detector on each side of an area to track its
    6·1 answer
  • How do most people make their primary income?
    13·1 answer
  • Please help ASAP! i rlly need help
    11·2 answers
  • Please help me please
    9·1 answer
  • Simplify:<br> ((2x)/(3y ^ - 1)) ^ 2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!