Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = 
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
= 
= 
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = 
≈ 18.7 cm ( to 1 dec. place )
Five is 11 and negative 11 because double negative equals a positive
Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, that is
= 
( cross- multiply )
9(x + 4) = 54 ( divide both sides by 9 )
x + 4 = 6 ( subtract 4 from both sides )
x = 2
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
In an isosceles right triangle, the side length ratios are ...
1 : 1 : √2 = x : x : 8√2
The latter ratios will match the first ratios when x=8.
__
That is, x = (8√2)/(√2) = 8.
Answer:
A) 9.56x10^38 ergs
B) 7.4x10^-3 mm
Step-by-step explanation:
A) 9.56x10^38 ergs B) 7.4x10^-3 mm A). For the sun, just multiply the power by time, so 3.9x10^33 erg/sec * 2.45x10^5 sec = 9.56x10^38 B) Of the two values 7.4x10^-3 and 7.4x10^3, the value 7.4x10^-3 is far more reasonable as a measurement for blood cell. Reason becomes quite evident if you take the 7.4x10^3 value and convert to a non-scientific notation value. Since the exponent is positive, shift the decimal point to the right. So 7.4x10^3 mm = 7400 mm, or in easier to understand terms, over 7 meters. That is way too large for a blood cell when you consider that you need a microscope to see one. Now the 7.4x10^-3 mm value converts to 0.0074 mm which is quite small and would a reasonable size for a blood cell.
