Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
What is the question?
Step-by-step explanation:
If you tell me i can help.
Answer:
37.5 inches
Step-by-step explanation:
Applying the Pythagorean Theorem,
a²+b²=c²
where c is the diagonal length
c=√(25²+28²)= 37.5
Answer:
the surface area of a penny = 662.81 mm²
Step-by-step explanation:
given:
A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters.
find:
what is the surface area of a penny?
<u>surface area of a cylinder formula:
</u>
As = 2 π r h + 2 π r²
let r = 19.05 / 2
r = 9.53 mm
let h = 1.55mm
plugin values into the formula:
As = 2 π (9.53) 1.55 + 2 π (9.53)²
As = 92.76 + 570.05
As = 662.81 mm²
therefore,
the surface area of a penny = 662.81 mm²
Hi there! The answer is y = x - 1
The general equation of a line in slope-intercept form is y = ax + b, with a representing the slope. Since this line is parallel to y = x + 4, the value of a (the slope) = 1.
Hence, y = 1x + b = x + b.
The line passes through the point (6, 5), so we can plug in the 6 at x and the 5 at y.
5 = 6 + b
Subtract 6.
- 1 = b
Switch sides.
b = - 1.
And therefore the answer is y = x - 1
~ Hope this helps you!
