A) Olaf has 250 files, which represent 100%. 12% of that are photos which number is unknown (x).
250 files - 100%
x photos - 12%
So, the proportion should look like:
250 files : 100% = x : 12%
B) After crossing the products:
x = 250 files * 12% : 100%
x = 30 photos
Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15
