Answer:
Option D is not a rational number
Step-by-step explanation:
A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.
For example, ¾ is a rational number while √3 is an irrational number.
Now to the question;
A) The product of 2 and 0.3333 gives;
2 × 0.3333 = 0.6666.
This can be expressed as a fraction as; 6666/10000.
Thus it is a rational number
B) The sum of 2 + √3 and 5 - √3 gives;
2 + √3 + 5 - √3 = 7
As a fraction, it can be written as; 7/1
Thus it is a rational number.
C) The sum of 37 and 12 is;
37 + 12 = 49
Can be expressed as; 49/1
Thus,it's a rational number.
D) Product of 2 and √2 gives;
2 × √2 = 2√2
It can't be expressed as a fraction with integers. Thus, it's not a rational number.
Answer:
BD = 35
Step-by-step explanation:
Calculate CD in right triangle ABC, then BD in right triangle BCD
Using Pythagoras' identity in both triangles.
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In Δ ADC
CD² + AD² = AC² , substitute values
CD² + 9² = 15²
CD² + 81 = 225 ( subtract 81 from both sides )
CD = 144 ( take the square root of both sides )
CD = 
= 12
----------------------------------------------------------------
In Δ BCD
BD² + CD² = BC² , substitute values
BD² + 12² = 37²
BD² + 144 = 1369 ( subtract 144 from both sides )
BD² = 1225 ( take the square root of both sides )
BD = 
= 35
Answer:
I wish i could help but I'm only in the 5 grade but I wish you best of luck
Step-by-step explanation:
sorry wish I could help
Answer:
B. x = 2.77
Step-by-step explanation:
3^x = 21
You first look for a base for 21 that is 3 to the power of something.
21 = 3^2.77
So 3^x = 2^2.77
They have the same base so
x= 2.77
Answer:
almost -.4
Step-by-step explanation:
The way I would answer these when I was in school, just divide -3/7.
that gives you -.428 so it is pretty close to .-4, but not exactly on it.
