Answer:
<em>Perimeter = 20.6cm to 1dp = 20.60cm to 2dp</em>
<em>Area = Base = 8.6/2 = 4.3 x 4.069 = 17.5cm^2</em>
<em>Height is found 4.07 cos( 54.47deg) 5/8.6 = 4.069cm</em>
Step-by-step explanation:
<em>Right angle side triangle, sides </em>
<em>= MN =8.6cm </em>
<em>= NP=5cm </em>
<em>= PM=7cm </em>
<em>= 25sq + 49sq = 74sq</em>
<em>MN^2 =√74 = 8.60232526704 = 8.6cm</em>
<em>P = 8.6 + 5 + 7 = 20.6cm </em>
The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h
Answer:
5√3
Step-by-step explanation:
The <em>geometric mean</em> (GM) of two numbers x and y is the square root of their product.
Thus, the GM of x and y is √(xy).
The GM of 3√5 and 5√5
= √(3√5 × 5√5)
= √[3 × 5 × (√5)²]
= √(3 × 5 × 5)
= √(3 × 5²)
= 5√3
