Answer:
It's very simple: divide the 40 m² area by area of 1 one sphere
Answer:
12 years will it take for light from the star to reach Earth.
Step-by-step explanation:
As per the given statement: A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year.
⇒Speed of light travel = 
km per year
and Distance of a certain star from the Earth = 
km
To find how long will it take for light from the star to reach Earth.
Using Formula:
or
Substitute the given values we have;;
Simplify:
Time = 11.9969981 year ≈ 12 years
therefore, 12 years will it take for light from the star to reach Earth.
See the calculations, explanations and results below.
1) The section to cover has tha shape of box with these dimensions:
length: 9.5 ft
width: 12 ft
depth: 4 inches
3) The volume of a box is calculated as:
V = length × witdth × depth
Since the depth is in inches convert to feet.
Conversion factor: 1 feet = 12 inches
⇒ depth = 4 in × 1 feet / 12 inches = 1/3 feet
Now, calculate the volume using feet:
V = 9,5 feet × 12 feet × 1/3 feet = 38 feet³
4) convert that to yard³ to compare with the calculations made by Rosilaine:
Conversion factor: 1 yard = 3 feet
⇒ 38 ft³ × (1 yard / 3 ft) ³ = (38 / 27) yard³ = 1.41 yard³
5) The error probably was that Rosailined used a wrong conversion factor.
Notice that 38 / 3 ≈ 12.7; so a likely mistake is that she did not cube the factor and so got about 12 yard³.
6) She might order 1.5 yard³ or 2.0 yard³ depending on the seller's rates and restrictions. With that she will have enough and will not have too much left over.
Answer:
B
Step-by-step explanation:
I guessed and i got it right so here ya go
Answer:
- The first car costs $40 and the price difference is $5
Step-by-step explanation:
<u>Given:</u>
- There are 17 cars with the price as an AP sequence.
- The total of 17 is $1360
<u>The total of last 3 is $345, it means the total of the first 14 is:</u>
<u>Use the sum of the first n terms formula, consider the first term is a and common difference is d:</u>
<u>Find it at n = 14 and n = 17:</u>
- S₁₄ = (2a + 13d)*14/2 = 1015 ⇒ 2a + 13d = 1015/7 ⇒ 2a + 13d = 145
- S₁₆ = (2a + 16d)*17/2 = 1360 ⇒ 2a + 16d = 2*1360/17 ⇒ 2a + 16d = 160
<u>Subtract the equations and solve for d:</u>
- 16d - 13d = 160 - 145
- 3d = 15
- d = 5
<u>Find the value of a:</u>
- 2a + 13*5 = 145
- 2a + 65 = 145
- 2a = 80
- a = 40
