A race car can travel at a speed of 3.4 x 10^2 miles/hour. The Speed of Sound is approximately 7.6 × 10^2 miles/hour. How many times faster is the Speed of Sound than the Bullet Train?

The speed of sound is 2.23 times of the speed of race car

Step-by-step explanation:

Given that,

The speed of a race car =

The speed of sound =

Dividing the speed of sound to the speed of a race car. So,

So, the speed of sound is 2.23 times of the speed of race car.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the answer would be c:   ax + b = ax + c

step-by-step explanation: