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
Shalnov [3]
3 years ago
5

A toy has various shaped objects that a child is supposed to push through matching holes. The area of the square hole is 5 cm2.

The area of the circular face of the round peg is 5 cm2. Will the round peg fit through the square hole? Use r = 3.14. Round to the nearest hundredth as needed. Explain
Mathematics
1 answer:
Papessa [141]3 years ago
5 0

To answer this, let's first describe the two areas and obtain the pertinent dimensions from them.

The area of the square hole is 5 cm^2.  Since A = s^2, where s is the length of a side of the square, s = +√5 in this situation.  +√5 is approx. 2.24 cm.

The area of the round peg is 5 cm^2 also, but the area is calculated using a different formula:  A = πr^2, where r is the radius of the circle.  Solving for r^2, we get:

                 r^2 = A/π.   Here, r^2 = (5 cm^2)/π = 5π, so that:

r = +√(5π).  This is approx. 3.96 cm, and so the diameter is twice that, or 7.93 cm.

So there's plenty of room for the round peg to enter the square hole, but not the other way around!

You might be interested in
You are a nascar fan that collects cars that are 1:64 scale to the original car. if your collection has cars that ar 3 inches in
Nitella [24]
The scale is 1:64.

Therefore if the length of the model is 3 inches, the true length of the vehicle is
3 * 64 = 192 inches  = 192/12 ft = 16 ft

Answer: 16 feet 
3 0
3 years ago
Read 2 more answers
Add 7 and 10 then divide by 5 write in a numerical expression
Gre4nikov [31]
(7 + 10) / 5 would be the expression
4 0
3 years ago
Read 2 more answers
Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are
34kurt
Bobby is 7 and his sister is 3.

Explanation : his dads age : 41
since his dads age is six more than, you would subtract 6 from 41 to get 35.
and since 35 is 5 times bobby’s age you would divide 35 by 5 to get 7
So bobby is 7.

bobby’s sister :
bobby’s age : 7
bobby’s little sisters age is one less than half of his age you subtract 1 from 7 and you would get 6
Now that it’s one less you have to find half so divide 6 by 2 and you’ll get 3
So bobby’s sister is 3.



bobby’s age : 41 - 6 = 35
35 (divided by) 5 = 7
bobby’s sister : 7 - 1 = 6
6 (divided by) 2 = 3
8 0
3 years ago
Select the statement that describes this expression: (10 − 3) x 4 + 5.
swat32

Answer:

c. (Multiply 4 by the difference of 10 and 3, then add 5)

5 0
2 years ago
What is the whole number 13 as an improper fraction
DanielleElmas [232]
13/1 I hope that helped
5 0
3 years ago
Other questions:
  • Ken is thinking of a number. Nine more than the product of 4 and the number is 73. Find Ken number
    5·1 answer
  • Graph the polar equation r = 4 cos 3θ.
    8·2 answers
  • What could be the equivalent ?
    5·2 answers
  • Solve the equation 55=7-6y
    5·2 answers
  • What is the slope of the line represented by the equation <br> –5x+2y= 10<br> ?
    10·1 answer
  • If you have $.10 on your debit card can you buy a measuring tape at the hardware store yes or no
    7·1 answer
  • Marcia has one cup of tea each day for 7 days. She puts 2/3 tablespoons of honey in each cup of tea. Write an equation that repr
    9·1 answer
  • Select all the equations that have graphs with the same y-intercept.
    8·1 answer
  • the shop keeper at an inn receives 175 letters a week (7 days). How many letters does he receive in a day
    9·2 answers
  • Mae Ling earns a weekly salary of $390 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!