Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
Answer:
Step-by-step explanation:
--- sides
Required
The measure of B
The interior angles of a polygon is:
So, we have:
The measure of B is calculated using:
Substitute known values
Collect like terms
Collect like terms
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
----------------------------------------------------
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Irrational.....................
Answer:
d = 
Step-by-step explanation:
The distance formula is d= 
.
6 is 
, 9 is 
, 3 is y
, and -2 is y
.
When you plug these into the formula, you get d =
