Well is this like history
The distance travelled is 10 m
The velocity gained at the end of the time is 2 m/s
<h3>Motion</h3>
From the question, we are to determine distance travelled and the velocity gained
From one of the equations of motion for <u>linear motion</u>, we have that
S = ut + 1/2at²
Where S is the distance
u is the initial velocity
t is the time taken
and a is the acceleration
First, we will calculate the acceleration
Using the formula,
F = ma
Where F is the force
m is the mass
and a is the acceleration
∴ a = F/m
Where F is the force
and a is the acceleration
From the given information,
F = 50 N
m = 250 kg
Putting the parameters into the equation,
a = 50/250
a = 0.2 m/s²
Thus,
From the information,
u = 0 m/s (Since the object was initially at rest)
t = 10 s
S = 0(t) + 1/2(0.2)(10)²
S = 10 m
Hence, the distance travelled is 10 m
For the velocity
Using the formula,
v = u + at
Where v is the velocity
v = 0 + 0.2×10
v = 2 m/s
Hence, the velocity gained at the end of the time is 2 m/s
Learn more on Motion here: brainly.com/question/10962624
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3(-3 + 5x) -1 (4 - 4x)
Simplify each term by first using the distributive property with each set of parenthesis:
3*-3 + 3*5x - 1*4 -1* -4x
Now do the multiplications:
-9 + 15x -4 + 4x
Combine like terms
15x +4x - 9 -4
19x - 13
Answer:
The measure of an exterior angle = 125°
Hence, option A is correct.
Step-by-step explanation:
As the given triangle is a right-angled triangle ΔABC.
Given the angles
We know that the sum of angles in a triangle is 180°.
Thus,
m∠A + m∠B + m∠C = 180°
substituting m∠A = 35° and m∠C = 90° in the equation
35° + m∠B + 90° = 180°
125 + m∠B = 180°
subtract 125 from both sides
125 + m∠B - 125 = 180° - 125
m∠B = 55°
Thus, the measure of angle B is:
m∠B = 55°
As the exterior angle of the given triangle is adjacent to m∠B = 55°.
We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.
Here,
∠A and ∠C are two opposite interior angles of the exterior angle.
Thus,
The measure of an exterior angle is equal to the sum of two opposite interior angles.
as
so
Exterior angle = m∠A + m∠C
= 35° + 90°
= 125°
Thus, the measure of an exterior angle = 125°
Hence, option A is correct.
Answer:
4 1/12 sq. ft
Step-by-step explanation:
To know the amount of area that Pete’s bed have more than Fluffy’s bed, we simply calculate the area of both beds then subtract the smaller from the larger.
The area of Fluff’s bed would be 3 * 21/12 = 63/12 Sq ft
The area of Pete’s bed would be 4 * 28/12 = 112/12 sq ft
The difference in area is thus: 112/12 - 63/12 = 49/12 = 4 1/12 sq. ft
