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
Masja [62]
2 years ago
10

I will mark brailiest if anyone answers the question right. show your work with working.

Mathematics
1 answer:
finlep [7]2 years ago
8 0

Answer:

remaining cardboard area =  122.5πr²

Step-by-step explanation:

area of original rectangle = length * width                                                                      

                                          =  18r * 8r

                                           =     144r²

  • area of semi circle: \frac{1}{2}πr²

Here we have 3 semi circles with radius 3r:

  • area of 3 semi circles:  3( \frac{1}{2} * π * (3r)²)

                                   : 3( \frac{1}{2} * π * 9r²)

                                    : 13.5πr²

  • area of one semi circle with radius 4r:

                       ( \frac{1}{2} * π * (4r)²)

                       ( \frac{1}{2} * π * 16r²)

                             8πr²

  • So the area of remaining cardboard:

            area of rectangle - area of 4 semi circles

                        144r² - 13.5πr² - 8πr²

                                122.5πr²

You might be interested in
Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.
Kay [80]

Answer:

a) 3x⁴-4x³-8x²-35x-10

Step-by-step explanation:

3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)

3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10

3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10

3x⁴-4x³-8x²-35x-10

5 0
2 years ago
Although she’s only in middle school, Tameka loves to drive go - carts! Her favorite place to drive go - carts, driver’s delight
slavikrds [6]

Answer:

Although she's only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Drivers Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet.

a. Compute the circumference of Track 1.

b. Compute the circumference of Track 2.

Step-by-step explanation:

6 0
3 years ago
List all the factor pairs for 48. make a table to help and add the table.
Feliz [49]

Answer:

The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8

Step-by-step explanation:

7 0
3 years ago
8/m-9=6/m-8<br><br>What does m equal?
liq [111]

Answer:

x=2

Step-by-step explanation:

you should isolate the variable and find out from what you have

4 0
2 years ago
- Write a recursive formula to represent the sequence below.<br> (3,7, 11, 15, 19,23,27,31,35, ...)
NemiM [27]

<em><u>The recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n  = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

a_n =a_1+(n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

a_1=3

Substitute in above formula,

a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1

<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n = 1, 2, 3, ......

8 0
2 years ago
Other questions:
  • What does CPCTC mean in Geometry AND when it is used?
    10·1 answer
  • Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of ta
    8·1 answer
  • All triangles are the same I need surface area !!!!
    5·1 answer
  • How can you make 0.40 into a fraction??
    7·1 answer
  • Simplify the expression<br> (-3+4k) - (-2+ 7k)
    6·1 answer
  • A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times at bat.​
    9·2 answers
  • HeLLPPPP PLLLSs!!!!!
    14·1 answer
  • Answer this please !!!!!!
    11·1 answer
  • 25 POINTS!!!! PLSSSS
    14·2 answers
  • I need help! Does anyone understand?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!