Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
When Serena is 10, her mom is 3*10=30. Her mom is 20 years older than Serena.
If her mom's age divided by half is equal to Serena's, then she will be twice as old as Serena.
20 + 20 = 40
20 * 2 = 40
Serena will be 20, her mom will be 40.
Answer:
Area of the garden = 98 + 19.25 = 117.25 ft²
Step-by-step explanation:
Area of the garden = area of the rectangle + area of the semi-circle
Area of the rectangle = L x B = 14 x 7 = 98 ft²
Area of the semi-circle = 1/2 x πR² = 1/2 x 22/7 x 3.5² = 19.25 ft²
Hence area of the garden = 98 + 19.25 = 117.25 ft²
The answer for the first question is 10%.
Reason: The second number (110) is larger than the first number (100) by 10 it is 10% the first number.
.
The answer for the second question is 25%, also.
Reason: The first number (100) is smaller than the second number (110) by 10 and it is 9.1% of the second number.
:)