Answer:
Length of the rectangle is = 8 inches.
Step-by-step explanation:
Given :
Area of square = Area of the rectangle
According to the question:
Length of the square be 'x'.
Its area = (Side)*(Side) =
...equation (i)
Length of the rectangle = 
Width of the rectangle = 
Area of the rectangle =Length * Width
⇒
⇒
...equation (ii)
Equating both the equation as area of both the figure are equal.
⇒ 
⇒ 
...subtracting both sides
⇒ 
...dividing both sides with 2
⇒ 
inches
Plugging the value of x=4 in the length of the rectangle.
We have,
⇒
So the length of the rectangle = 8 inches.
Answer:
213 degrees
Step-by-step explanation:
A quadrilateral has an internal measurement of angles of 360 degrees. Given that we have 3 measures of the angles, we simply need to find the 4th. This can be accomplished with the following equation:
x + 52 + 54 + 41 = 360
x + 52 + 95 = 360
x + 147 = 360
x = 213
Hence, the measure of the final angle is 213 degrees.
Cheers.
1 and 17 are the only factors.
Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
Answer: -7.5
Step-by-step explanation:
area = 1/2bh.
area = 1/2(x+6)(5)
area = x/2 + 15
area = x/2 = -15
area = x = -7.5
area = -7.5
