Answer:
x = + 14.88 km
Step-by-step explanation:
Let's solve for x using the Pythagorean Theorem.
The length of the hypotenuse is 15.8 km; that of the shorter leg is 5.3 km.
Since a² + b² = c², we get:
(5.3 km)² + x² = (15.8 km)²
Solving for x², we obtain (15.8 km)² - (5.3 km)² = 249.64 km² - 28.09 km²
The last expression returns the value 221.55 km² for x²
Taking the square root of both sides, we get x = + 14.88 km
Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
The slope is 8/5 if you use the formula
y2-y1/x2-x1=slope
can i get branielst please
For this case, the first thing you should do is take into account the following unit conversion:
1 foot = 12 inches
Therefore, the perimeter of the new window is given by:
p = 2w + 2l
Where,
w: width
l: long
Substituting values:
p = 2 * (3 + ((4 1/2) / 12)) + 2 * (4 + ((4 1/2) / 12))
p = 15.5 feet
Answer:
The new perimeter of the window in feet is:
p = 15.5 feet