Answer:
34 x 34 is 1156
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Simplify
Open brackets
Collect Like Terms
Simplify like terms
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
1.5974
Step-by-step explanation:
