Answer:
3.14 square units
Step-by-step explanation:
Circumference of a circle = 2πr
2πr = 6.28
r = 6.28/2π
r = 3.142/π
Area of a circle = πr^2
slot in the value of r
Area of the circle = π( 3.142/π)^2
" = π(9.87/ π^2)
" = 9.87/π
π = 3.14
Area of a circle = 9.867/ (3.14)
" = 3.14 square units
Answer:
1. Perpendicular
2. Isosceles
3. Never
Step-by-step explanation:
1. AC ⊥ BD because diameter of a square are perpendicular bisector of each other.
2. In Δ AOB , By using pythagoras : AB² = OA² + OB² .......( 1 )
In Δ COB , By using pythagoras : BC² = OC² + OB² ..........( 2 )
But, OA = OC because both are radius of same circle
So, by using equations ( 1 ) and ( 2 ), We get AB = BC ≠ AC
⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.
3. The side can never be equal to radius of circle because the side of the square will be chord for the circle and in a circle chord can never be equal to its radius
Answer:
Dylan
Step-by-step explanation:
Rate of Origami Making
1) June
= 10/30
= 1/3 origami birds per minute
2) Dylan
= 4/10
= 2/5 origami birds per minute
2/5 > 1/3
So Dylan was faster.
Answer:
m∠CFD is 70°
Step-by-step explanation:
In the rhombus
- Diagonals bisect the vertex angles
- Every two adjacent angles are supplementary (their sum 180°)
Let us solve the question
∵ CDEF is a rhombus
∵ ∠E and ∠F are adjacent angles
→ By using the second property above
∴ ∠E and ∠F are supplementary
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠E + m∠F = 180°
∵ m∠E = 40°
∴ 40° + m∠F = 180°
→ Subtract 40 from both sides
∵ 40 - 40 + m∠F = 180 - 40
∴ m∠F = 140°
∵ FD is a diagonal of the rhombus
→ By using the first property above
∴ FD bisects ∠F
→ That means FD divides ∠F into 2 equal angles
∴ m∠CFD = m∠EFD =
m∠F
∴ m∠CFD =
(140°)
∴ m∠CFD = 70°
Answer:
D an = 9 + 7(n-1)
Step-by-step explanation:
In the question, Max has 9 logs in the first load. But, after the seventh load he has a total of 51 logs. So the n would be your logs in the stack, which is 51. And since there is a total of 51 logs after the seventh load. It would be 9 plus 7 in parenthesis of 51 minus one, which is 50. So 50 times 7 comes down to 350 plus nine which comes down to a total of 359.