Answer:
53.5
Step-by-step explanation:
(6 Pounds and 11 ounces)*8
11 ounces = 0.6875 pounds
(6 pounds + 0.6875 pounds)*8
53.5 pounds in total
Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
There would be 7 in 4 rows
Answer:
a, b, and c can be formed a triangle
The area of the triangle is 13385.87 square units.
Step-by-step explanation:
<em>Let us revise an important fact in any triangle</em>
- The sum of the lengths of the two shortest side must be greater than the length of the longest side
The length of the sides are a = 240, b = 132, and c = 330
∵ The two shortest sides are a = 240 and b = 132
∵ a + b = 240 + 132 = 372
∵ The longest side is c = 330
∵ 372 > 330
∴ a + b > c
∴ a, b, and c can be formed a triangle
<em>Let us revise the </em><em>Heron's formula</em><em> of the area of the triangle</em>
- Area = , where a, b,c are the lengths of the sides of the triangle, and
∵
∴
∴
∴
The area of the triangle is 13385.87 square units.
If quantity t varies inversely with a quantity r ,
Then mathematically t α 1/r,
Introducing a constant, t = k/r .
When t = 6 then r = 5,
therefore, 6 = k/5
k = 6×5
k = 30 (Constant of variation)
Which means the equation connecting t and r will be t = 30/r
To find the value of t when r = 15, we use the equation of this variation
such that, t = 30/15
t = 2