Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°
Answer:
First number =26
Second number =49
Step-by-step explanation:
Question:
The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.
Given:
Sum of two numbers = 75
The second number is 3 less than twice the first.
To find the numbers.
Solution:
Let the first number be = 
Let second number be = 
The sum equation can be given as:

It is given that the second number is 3 less than twice the first.
This can be given as:

Substituting the value of
in terms of
in the sum equation.

Combining like terms.

Adding 3 both sides.


Dividing both ides by 3.


Substitution
in the second equation to find
.

Thus, first number =26 and second number =49.
Answer:
A(t) = π(8t)²
Step-by-step explanation:
Radius of a circular wave increases by 8 cm each second.
Every second radius of circular wave so the sequence of increase in radius will be,
8, 16, 24, 32.........(8t)
Here 't' = time
Since, area of a circle = πr²
Therefore, area of the circular wave after 't' seconds since the wave begins,
A(t) = π(8t)²
Answer: y= 3 or -2/3
Step-by-step explanation: