1. B
2. D
3. C= πD
a) 204π or 641 cm
A= π r²
b) π (102)²
10404π squared cm or 32669 squared cm
4. C
5. D
-(11+sqrt(121-4*18))/2 = -(11 +sqrt(49))/2 = -9
Or
-(11-sqrt(121-4*18))/2 = -(11-sqrt(49))/2 = -2
D is the answer
Answer:
x = , y = 2
Step-by-step explanation:
using the tangent ratio and the exact value tan45° = 1 , then
tan45° = = = 1 , then
x =
----------------------------------
using the cosine ratio in the right triangle and the exact value
cos45° = , then
cos45° = = = ( cross- multiply )
y = × = = 2
Answer:
A. 1/5k - 2/3j and -2/3j +1/5k
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j +1/5k
B. 1/5k - 2/3j and -1/5k +2/3j
There is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
Not equivalent
C. 1/5k - 2/3j and 1/5j - 2/3k
There is a change in the variables
1/5k changed to 1/5j
-2/3j changed to -2/3k
D. 1/5k - 2/3j and 2/3j - 1/5k
The is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
The only equivalent expression is
A. 1/5k - 2/3j and -2/3j +1/5k
K = -48
1. subtract 5 from both sides
-4 = k/12
2. multiply 12 from both sides to get k alone
-48 = k