Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
Answer:
The velocity is 17 m/s
Step-by-step explanation:
To find the velocity, we find the first differential of the displacement
That will be
S’(t) = 16t + 1/t
We simply proceed to replace t with 1
That will give;
16(1) + 1/1
= 16 + 1 = 17 m/s
The first one and the second one are the correct sums
Answer:
four less than the quotient of a number cubed and seven, increased by three
five times the difference of a number squared and six
nine more than the quotient of six and a number cubed, decreased by four
twice the difference of nine and a number squared
Step-by-step explanation:
Let n the number of interest we have this:
four less than the quotient of a number cubed and seven, increased by three
five times the difference of a number squared and six
nine more than the quotient of six and a number cubed, decreased by four
twice the difference of nine and a number squared:
<span>First
let’s create a word problem using the factors 9 and 10.
=> Maria bought 9 couple shirts and the price of each pairs of couple shirt
is 10 dollar. Now, find the total amount that Maria spent for the 9 couple
shirt that she bought.
Now, let’s show the solution to our given word problem
=> Number of pairs of couple shirt = 9
=> Amount of each pairs of couple shirt = 10 dollars
=> 9 x 10
=> 90
Thus Maria paid 90 dollars in total.</span><span>
</span>