Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
--> Divide both sides by 23
x = 14/23
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 )
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Maximum capacity of hard drive = 500 GB
Space used up = 58 GB
Size per movie = 8GB
Number of movies = x
1)
[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.
From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.
That is ;
[(8x + 58 ≤ 500
8x ≤ 500 - 58
8x ≤ 442
x ≤ 442 / 8
x ≤ 55.25
The maximum number of movies Elena can download is 55
Answer:
12 ft
Step-by-step explanation:
for the model is 1 and the actual is 5
conversion yards to feet
3 feet = 1 yard
20 * 3 = 60
60/5 = 12
your answers 12 ft
hope this helps:)
Answer:
E
Step-by-step explanation:
2^2 = 4
√(4^2 + √5 ^2) = √21
