Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational
A better statement would be:
"The product of a non-zero rational number and an irrational number is irrational
Answer:
249 centimeters squared
Step-by-step Explanation:
The area of the rectangle: l x w, where l is the length and w is the width.
= 15.5 x 18
= 279
Area of the smaller rectangle: l x w, where l is the length and w is the width.
= 4 x 7.5
= 30
We do not need this 30.
Area of the shaded region:
= 279 - 30
= 249 cm²
The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
Answer:
$24
Step-by-step explanation:
Inversely proportional means that the two variables (price and weight in this case) will always have the same product. Therefore, we can write the following equation:
25 * x = 20 * 30 (where x is the price of a 25 oz. racquet)
25x = 600
x = $24
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Given:
The sides of the triangle = 15 10 and 7
To Find:
Whether the triangle is a right triangle = ?
Solution:
According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

where
a and b are the smaller sides
c is the larger side
Now from the given data, lets assume
a = 10 and b =7 and c =15
Substituting in the above equation we get,

100 + 49 = 225
149 = 225

So, the given triangle is not a right triangle.