Answer:
1090
Step-by-step explanation:
1300-210=1090
It would be figure b, figure c and figure D
Answer:
I think the answer is 44.13
Step-by-step explanation:
sorry if I am wrong
Answer:
Consider the given equation.
4sinxsin2xsin4x=sin3x
2(2sin2xsinx)sin4x=sin3x
We know that
2sinAsinB=cos(A−B)−cos(A+B)
Therefore,
2[cos(2x−x)−cos(2x+x)]sin4x=sin3x
2[cosx−cos3x]sin4x=sin3x
2sin4xcosx−2sin4xcos3x=sin3x
We know that
2sinAcosB=sin(A+B)+sin(A−B)
Therefore,
sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x
sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x
sin(5x)−sin(7x)=sin(x)
We know that
sinC−sinD=2cos(
2
C+D
)sin(
2
C−D
)
Therefore,
2cos(
2
5x+7x
)sin(
2
5x−7x
)=sinx
2cos(
2
12x
)sin(
2
−2x
)=sinx
2cos(6x)sin(−x)=sinx
−2cos(6x)sin(x)=sinx
cos6x=−
2
1
6x=2nπ±
3
2π
x=
3
nπ
±
9
π
Hence, the value is
3
nπ
±
9
π
.
Answer: Casey should buy 48 square yards of carpet
Step-by-step explanation: If Casey's room has two sections, which are a square section and a rectangular section, we shall calculate the total area of each section separately to start with. The square section has sides measuring 4 yards each, then the area of that section can be calculated as;
Area = 4 x 4 (all sides of a square are equal in length)
Area = 16 square yards.
Also the rectangular section has the same width as the square section, that is, 4 yards. The rectangular section has twice the length of the square section, that is, twice of 4 yards which is 8 yards. Hence the area of the rectangular section is calculated as;
Area = 4 x 8
Area = 32 square yards
Therefore, the total measurement of carpet in square yards for her room shall be area of both sections added together.
Total area = 16 square yards + 32 square yards
Total area = 48 square yards
