9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.
Answer:
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
What we're given:
The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
Substituting given values:
Since ,
Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.
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>But 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>Let's 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>Let's convert that back to standard notation. </span>
<span>Answer: </span>
<span>1,100,000,000 hours</span>
Answer:
Jenny = 23 | Nancy = 11
Step-by-step explanation: