Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
Answer:
552
Step-by-step explanation:
23x + 4y when x=20 and y=23
if x=20 and y=23 all you have to do is replace the numbers and solve
23(20) + 4(23)
Multiply 23*20 which is equal to 460
Then you multiply 4*23 which is equal to 92
The problem is now 460 + 92
add it, and you get 552.
Hope this helps!!
-Ketifa
Answer:
x > - 3/7
Step-by-step explanation:
6x - 2x - 4 > 2 - 3 (x + 3)
6x - 2x - 4 > 2 - 3x - 9
4x - 4 > 2 - 3x - 9
4x - 4 > - 7 - 3x
4x - 4 + 3x > - 7
7x > - 7 + 4
7x > - 3
So the object of this problem is to find out the value of d.
To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.
No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.
So you would write the answer as:
5+3=4(2)
