Answer:
Area: 15.53 square inches
Perimeter: 15.71 inches
Step-by-step explanation:
Area:
So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is 
. But since this is a semi circle it's half of that which is 
. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get 
. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.
Perimeter:
Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71
Answer:
1. 8:5
2. 4:7:9
3. 4:3
4. 1:7
Step-by-step explanation:
1. they both are in 7 times table
2. both in 8 times table
3. 15 times table
4. 10 times table
I hope this helps you
x-y=-2 y=x+2
2x+y=8
2x+x+2=8
3x=8-2
3x=6
x=2
y=x+2 y=2+2 y=4
Vertex: (5,0)
Focus: (5,1/4)
Axis of symmetry: x=5
Directrix: y= -1/4
Note that
- 12=2·2·<u>3</u>;
- 20=2·2·5;
- 36=2·2·<u>3</u>·3.
The common factors of these three numbers are 2, 2. Also numbers 12 and 36 have one more common factor <u>3</u>, then the least common multiple is
LCM(12,20,36)=2·2·<u>3</u>·5·3=180 sec=3 min (here first you write all common factors between all three numbers, then between two numbers and at last all remaining factors).
Answer: all three experiments will need to be checked after 3 minutes passed, then after 6 minutes passed, then after 9 minutes passed and so on.
