Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Answer:
15
Step-by-step explanation:
let r represent red marbles then white = 2r + 5 and total is 20, thus
r + 2r + 5 = 20 ( subtract 5 from both sides )
3r = 15 ( divide both sides by 3 )
r = 5 ← number of red marbles
Thus number of white = 20 - 5 = 15
Answer:

Step-by-step explanation:


Let's solve for
in the first equation and then solve for
in the second equation.
I will then use the following identity to get right of the parameter,
:
(Pythagorean Identity).
Let's begin with
.
Subtract 2 on both sides:

Divide both sides by -3:

Now time for the second equation,
.
Subtract 1 on both sides:

Divide both sides by 4:

Now let's plug it into our Pythagorean Identity:




Answer:
312 mi/hr
Step-by-step explanation:
Distance = 2184 miles
Time taken = 7 hours
Average speed = Distance / time taken
Average speed = 2184 miles / 7 hours
Average speed = 312 miles per hour
Hence, the average speed Traveled by the plane traveling from Knoxville to Los Angeles is 312 miles per hour
Answer:
-1, -3, 2, 5, 6
Step-by-step explanation:
The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.