Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° = 
, cos45° = 
, thus
sin60° = 
= 
= ( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = 
Now consider the right triangle on the right, using the cosine ratio
cos45° = 
= 
= ( cross- multiply )
x = × 
= 
→ C
Answer:
A
Step-by-step explanation:
We take a look at this expression: 
and notice that both terms are square numbers. 
and 
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares 
, it can always be factored into 
.
Here, we can apply that. In this case, a = 7x and b = 3. So:
Thus, the answer is A.
Hope this helps!
A is the only number line that correctly shows the locations of all given values.
Answer=A
***EDIT***
Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.
So, knowing that, lets look at A and see if all of the numbers are correctly placed.
1/2 should be two lines to the right of 0 (since distance between one line and the next is equal to 1/4, and 1/4+1/4=2/4 or 1/2)
-4 is a relatively easy value to find, since its line is labeled.
-2 3/4 should be three lines to the right of -2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of -2 u get -2 3/4)
(-2-3/4=-2 3/4)
1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)
Answer:
p = 10.44
Step-by-step explanation:
There is no solution. If the question was 81p / 9 = 94, it could be done.
The way it is written the ps cancel out and you get 9 = 94 which is impossible.
But let's assume you meant
81p / 9 = 94
Then you get 9p = 94 Divide both sides by 9
81p/9 = 94
9p = 94 Divide both sides by 9
9p/9 = 94/9
p = 10.44
