Answer:
D
Step-by-step explanation:
Using the addition formula for sine
sin(a + b) = sinacosb + cosasinb
and the exact values
sin( ) = cos(
) =
, cos(
) =
, sin(
) =
Note that =
+
, thus
sin()
= sin( +
)
= sin()cos(
) + cos(
)sin(
)
= ( ×
) + (
×
)
= +
= → D
Answer:
25.047 or roughly 25.
Step-by-step explanation:
I solved it wrong the first time then i double check with wolframalpha and got the correct number.
We know that the area of the tile is 18 and it makes a triangle, we also know the base and height. In this case the base is 2
and the height is also given which is
.
Area of triangle = ,
substituting we will end up with 18 =( 2
*
) / 2
Here is the tricky part , i totally forgot about that lol.
Simplifying: we will get 18 =
Now, in order to find the x, we will need to take the log of both sides.
Solving for x we end up getting:
= x
where x = 25.047.
To be honest I deserve a nobel prize not a brainliest lol.
Good question bro, take it easy.
56 m²
<h3>Explanation:</h3>A diagram can be helpful.
Triangles with the same altitude will have areas proportional to the length of their bases.
The altitude from B to PC is the same for triangles BMP and BMC, so they have areas that are in the same proportion as MP : MC. Since M is the midpoint of CP, MP = MC and ABMP = ABMC = 21 m². Then ...
... ACPB = 21 m² + 21 m² = 42 m²
The altitude from C to AB is the same for triangles CPA and CPB, so those triangles have areas in the sampe proportion as AP : BP = 1 : 3. Then ...
... ACPA : ACPB = PA : PB = 1 : 3
... ACPA : 42 m² = 1 : 3
So, the area of ∆CPA is 1/3 of 42 m², or 14 m². The area of ABC is the sum of the areas of CPA and CPB, so is ...
... AABC = ACPA + ACPB = 14 m² + 42 m²
... AABC = 56 m²
