Answer:
157.1
Step-by-step explanation:
If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.
The area of a semicircle is (pi×radius²)÷2
First, you would find out the area of the large semicircle by substituting in the numbers:
(3.142×10²)÷2=157.1
Then you would find out the area of the smaller semicircle:
The diameter of the semicircle is 10 so to find the radius you would half it.
(3.142×5²)÷2=39.275
To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1
Hope this helps :)
Answer:
24!
Step-by-step explanation:
I will refer the people to A,B,C, and D
24 is the answer.
4 choices for the first position.
3 choices for the second.
2 choices for the third.
1 for the fourth.
4*3*2*1=24
Here it is listed out where a,b,c,d are the 4 people:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba
(of course, this assumes that there is a direction to the line, or a 'front' and a 'back'. If direction doesn't matter then the answer is 12, since every combination above has a reverse. e.g., abcd and dcba. The list becomes:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bdac
cabd
cbad
(x² +9) and g(x) are factors of f(x).
That is, (x² +9)(g(x)) = f(x).
The roots of (x² +9) are roots of f(x). They are 3i and -3i.
The factor (x² +9) has degree 2, so f(x) has degree at least 2.
We cannot say anything about the x- or y-intercepts based on this information.
Imaginary roots usually come in even numbers (2, 4, etc.) for the polynomials we study. The information given here does not support the idea of 3 imaginary roots for f(x).
27 cubic inches
Because you multiply 3x3x3=27