Answer:
100 km/hr
Step-by-step explanation:
First Leg:
Speed = 60 km/h
Time = 30 min = 0.5 h
1st leg distance = speed x time = 60 km/hr x 0.5hr = 30 km
Second Leg:
Distance remaining = 80 km - 30 km = 50 km
Time = 30 min = 0.5 h
speed = distance / time = 50 / 0.5 = 100 km/hr
Answer:
x = ±2
Step-by-step explanation:
A equation is given to us , which is ,

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

Applying this to LHS , we have ;

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

Put square root on both sides,

Simplify ,

This is the required answer.
Answer:
The function is defined when x > 0
Step-by-step explanation:
Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.
We know the function is undefined when the denominator is equal to zero.
is equal to zero when x=0.
We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. .
will always be positive, but
is negative when x < 0.
So the function is undefined when x = 0, and when x < 0.
Therefore it is defined when x > 0
Answer:
-10x +4
Step-by-step explanation:
Answer:
The area is 88.39 cm
Step-by-step explanation:
Here, we want to find the area of the semicircle given that the diameter of the semi circle is 15 cm
We start by getting the radius
Mathematically r = D/2
= 15/2 = 7.5
Area of semicircle is area of circle/2
= (pi * r^2)/2
= (22/7 * 7.5^2)/2 = 88.39 cm