Answer:
900
Step-by-step explanation:
Sum of interior angle for a polygon = (n-2)180
7 sides
=(7-2)180
=5*180
=900
Take the value of x-4, and make it positive, then subtract three. The graph would look like the following.
Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
Answer:
4
Step-by-step explanation:
We'll do two things here. First remember that when a number is raised to an exponent, and the result is raised to another exponent, you can simply multiply those exponents and apply them to the base. So we can multiply -1/2 and -2/3, giving us 1/3, which is what we'll raise 64 to.
The other thing to remember is that a fractional exponent is the same as a root of that base. So raising a number to the power of 1/3 just means we want the cube root of that number.
Applying those and we get:

Answer:
The range of numbers that Nidhi might be thinking of is between 3 and 9.
Step-by-step explanation:
We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.
Her first clue is that eight less than three times her number is between one and nineteen.
Let the number Nidhi is thinking be 'n'.
So, eight less than three times her number means that;

Now, according to the question; the above equation is between one and nineteen, so;

Adding 8 to the whole expression;


Dividing the whole expression by 3;


Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.