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
DochEvi [55]
2 years ago
11

Help me answer this question??

Mathematics
1 answer:
Komok [63]2 years ago
5 0

Part (i)

The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly

The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.

Exact answer: 36pi square meters

Approximate answer: 113.04 square meters (when using pi = 3.14)

=======================================================

Part (ii)

Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2

We end up with 144 - 36pi as the exact area of the red section

This approximates to 144 - 36*3.14 = 30.96 m^2

Exact answer:  144 - 36pi square meters

Approximate answer: 30.96 square meters (when using pi = 3.14)

You might be interested in
Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more
solong [7]

Answer:

C. two thirds x + 10 = 21

Step-by-step explanation:

Given

Price of adult ticket = $21.00

Let x be the price of student ticket

Then

two third of the student ticket will be:

\frac{2}{3} x

The statement $10.00 more than two third of student ticket:

\frac{2}{3} x+10

As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement

So, both will be equivalent

\frac{2}{3} x+10 = 21

Solving this equation for x will give us the price for the student ticket.

Hence,

C. two thirdsx + 10 = 21 is the correct answer ..

3 0
3 years ago
Please help thank you
sergiy2304 [10]
8-3(2)
8-5
=3
the answer should be 3 after plugging in the variables.

3 0
3 years ago
The area of trapezoid TRAP is 100 m squared
Anastasy [175]
Answer:  30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as:  A = ( b₁ + b₂) h  / 2 ;
___________________________________
in which:  A = area;
              b₁ = length of "base 1" (choose either one of the 2 (two bases);
              b₂ = length of "base 2" (use the base that is remaining);
              h = height of trapezoid;
____________________________________________
From the information given: 
___________________________
A = 100 m² ; 
h = 5 m
b₁ = 10 m
b₂ =  x 
___________________________
Find "x", which is:  "b₂" ;
__________________________
      A = ( b₁ + b₂) h  / 2  ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
  100 m² = [(10m + x) (5m)] / 2  ; Solve for "x" ;
_________________________________________________________
          (10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
             (5m) (10m + x) = 200 m² ;
___________________________________________
Note:  The distributive property of multiplication:
____________________________________________
    a(b+c) = ab + ac ;
 
    a(b−c) = ab <span>− ac ;
</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
____________________________________________
So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
                               =  50m² + (5m)x  ;
_______________________________________________
     →  50m² + (5m)x = 200m²  ; 
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
     → { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
     →  10m + x   = 40m ; 
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
___________________________________________________
Answer:  30 m ; (or, write as: "30 meters") .
_____________________________________________________
6 0
3 years ago
{6 3/6 + 10 4/6) + 9 2/6
n200080 [17]

Answer:

26.5

Step-by-step explanation:

used calculator

4 0
3 years ago
What is the remainder when (4x3 + 2x2 − 18x + 38) ÷ (x + 3)?<br> 2<br> 12<br> 96<br> 110
Brilliant_brown [7]
°°°4°°°2°°°-18°°°°°°38
•|
-3|°°°-12°°°30°°°°°-36
------------------------------'
°°°4°° -10 12°°°°° °°2
remainder=2
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 39/3 as a mixed number?
    10·2 answers
  • Emergency!!!! Please help Geometry
    5·2 answers
  • What is the estimate of 32034
    14·1 answer
  • 8+7i<br>3-4;<br>How do u write it in Standard form​
    11·1 answer
  • Julie bought 4 ficking sheets of stamps with 20 stamps on each sheet. Which equation can be used to find the number of stamps Ju
    5·1 answer
  • Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x – 10, and
    9·2 answers
  • Mrs. Gammy divide 300 dollars equally among 5 fourth grade teachers. Mrs. Gammy to buy 12 hits that each cost the same amount. W
    5·1 answer
  • What is the meaning of rate​
    13·2 answers
  • Simplify (7 + 1)2 – (11 + 32) - 4.
    11·2 answers
  • Please help me this is one step equations.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!