Answer:
surface area of the cube is 96m² and the volume is 64m³
Step-by-step explanation:
Surface area of the cube = 6x²
x is the side length
Given
x = 4metres
Surface area of the cube = 6(4)²
Surface area of the cube = 6(16)
Surface area of the cube = 96m²
Volume of the cube = x³
Volume of the cube = 4³
Volume of the cube = 64m³
Hence the surface area of the cube is 96m² and the volume is 64m³
Answer:
8 and 10
Step-by-step explanation:
Set the first number as x, the second as y
x+y=18
2x-y=6
This is an binary system of first order equations
3x=24
x=8
y=10
Answer:
36 girls are in the choir
Step-by-step explanation:
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:

Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:



m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°