An art gallery is a 6-story square pyramid with base area of half an acre. Estimate the volume in cubic yards of the art gallery. In your calculations, use 1 acre = 4840 yd2 and 1 story = 10 ft.
First convert the distance to miles
<span>9.5 × 10^12 km x 0.62 miles/km </span>
<span>= (0.62 × 9.5) x 10^12 miles </span>
<span>= 5.9 × 10^12 miles </span>
<span> we want to triple that, because it is 3 light years (not just 1): </span>
<span>3 x 5.9 × 10^12 miles </span>
<span>≈ 18 × 10^12 miles </span>
<span>≈ 1.8 × 10^13 miles </span>
<span>Next divide by the speed to get the time (in hours). </span>
<span>t = 1.8 × 10^13 miles / 17000 miles/hour </span>
<span>convert the speed to scientific notation: </span>
<span>t = 1.8 × 10^13 / 1.7 x 10^4 </span>
<span>t = (1.8 / 1.7) × (10^13 / 10^4) <-- when dividing powers with the same base, subtract the exponents </span>
<span>t ≈ 1.1 × 10^9 </span>
<span>convert that back to standard notation. </span>
<span>Answer: </span>
<span>1,100,000,000 hours (P.S. That is about 120,000 years).
Hope this helps!!!</span>
Answer:
-7 - 8n
Step-by-step explanation:
Another way would be to rearrange the terms = -7 - 8n
45 mi/60 mins=1 mi/x. Cross-multiply and solve for x.
