Answer:
the greatest common factor of 40x^ 5 y^ 2 and 32x^ 2 y^ 3 is 1
Step-by-step explanation:
Find the prime factors of each term in order to find the
greatest common factor (GCF).
1
The force of friction is given in the scenario:
Force = 500 Newton
and the mass of the runner is 60 kg
To find the acceleration we need to use the relation between force, mass, and the acceleration of the object:
Where 'F' represents the force, 'm' represents the mass, and 'a' represents the acceleration.
Plugging the value of variables we get:
Solving for 'a' (acceleration) we get:
Newton/kilogram or meters/ second squared
So the acceleration of the runner is 8.33 meters/ second squared.
Answer:
$250
Step-by-step explanation:
The numbers in the table indicate a proportional relationship between earnings and hours worked. Among other things, that means you can find the earnings for 20 hours by using any table values that sum to 20 hours.
For example, 9 hours + 11 hours = 20 hours, so the earnings would be ...
$112.50 +137.50 = $250.00 . . . for 20 hours
You could also use 4×5 hours = 20 hours, so ...
4×$62.50 = $250 . . . for 20 hours
__
Or, you can figure ...
$37.50/(3 h) = $12.50/h
so the pay for 20 hours is ...
(20 h)×($12.50/h) = $250.00
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
5.86666666667
Step-by-step explanation:
