Answer:
Yes
Step-by-step explanation:greatest common factor (GCF) of 10 and 14 is 2. We will now calculate the prime factors of 10 and 14, then find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 14.
Answer:
D. 914 feet
Step-by-step explanation:
We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;
Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;
We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;
The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;
Given d is 25.2, h becomes;
To the nearest whole number, h becomes 914
Answer:
50.031 watts
Step-by-step explanation:
Formula
Power = Force * distance / time
The units are critical
distance = meters
time = seconds
force = newtons = kg * m / s^2
Solution
F = m * a
a = 9.81
m = 102 kg
F = 102 * 9.81 = 1000.62 Newtons
T = minute = 60 sec/min * 1 min
T = 60 seconds
d = 3 meters
Power = 1000.62 * 3 / 60
Power = 50.031
Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then
s^2 = 72
s = 6 sqrt(2)
Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)
c^2 = a^2 + b^2
Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72
The length of the longest line is 72.
