In the question, we are given with speed of a car and the distance it have to travel.
Given:
- Speed of the car = 40 km/hr.
- Distance to travel = 60 km
So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.
This can be easily done by using the Speed, Distance and Time formula which says:
So, let's solve by using this formula.
⇛ s = v × t
⇛ 60 km = 40 km/hr × t
⇛ t = 60 km / 40 km/hr
⇛ t = 3/2 hr.
⇛ t = 90 mins or 1 1/2 hours
So, time the car will take to travel 60 km:
And we are done !!
#CarryOnLearning....
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Answer:
Option D.
3 equations with 3 variables
Step-by-step explanation:
The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.
If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.
Therefore the correct answer is option D.
3 equations with 3 variables
F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)
g(x) has a y-intercept at (0, -3)
Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = 
= 
= 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so
we have
----> scale factor
substitute
therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter
the volume of the reduced sphere is
---> the radius is half the diameter
Divide the volumes
