Answer:
No
7
Step-by-step explanation:
We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:
392 = 2 x 196
Again, 196 is divisible by 2, so we get:
392 = 2 x 2 x 98
And 98 is also divisible by 2:
392 = 2 x 2 x 2 x 49
49 is 7 times 7, so we can finish the prime factorization of 392:
392 = 2 x 2 x 2 x 7 x 7
This is the same as:
392 = 2^3 x 7^2
We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.
In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).
Answer:
Option D
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:
c² = a² + b²
From the options, option d is the correct option.
For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:
c² = a² + x²
x² = c² - a²
x = √(c² - a²)
Therefore the other leg would be √(c² - a²)
Answer:
Step-by-step explanation:
We can rewrite this problem as:
What is 60% of 35?
"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as
60
100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number of members we are looking for "m".
Putting this altogether we can write this equation and solve for
m
while keeping the equation balanced:
m
=
60
100
×
35
m
=
2100
100
m
=
21
21
members must be present to have a vote.
