When a wire is bent to form a circle then its length represents the circumference of the circle formed. Therefore in our case the circumference of the circle is 50 cm. we can use this to determine the radius of the circle and then determine the area. Circumference of a circle is given by \pi × diameter, (\pi = 3.142)
thus diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm
the radius will be 15.9134 ÷2 = 7.9567 cm or ≈ 7.96 cm
The area of a circle is given by \pi × square of radius
Area = 3.142 × 7.96×7.96 = 199.0821 square cm
Thus the area of the circle formed is ≈ 199.08 square cm ( 2 decimal places)
Answer:
0.4
Step-by-step explanation:
2 x (-0.2) + (-0.2) + 1
- 0.4 - 0.2 + 1
-0.6 + 1
= 0.4
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
