<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
Answer:
-2x+3(-5x+1)=-2x+(-15x+3)
=-2x-15x+3
=-17x+3
-5/3a+1/8-1/6a-1/2=-5/3a-1/6a+1/8-1/2
=-40/24a-4/24a+3/24-12/24
=-44/24a-9/24
=-11/6a-3/8
3(1/5x-1/7)=3/5x-3/7
Hence, ans: C
-1.5w+7.5=1.5(-w+5)
=-1.5(w-5)
Hence, ans: A
Answer:
The surface area of the figure is 352 cm².
Step-by-step explanation:
Given:
Length(l) = 12 cm.
Width(w) = 4 cm.
Height(h) = 8 cm.
Now, to find the surface area.
By putting the formula to get the surface area:
Surface area = 2(l×w+w×h+h×l)
Therefore, the surface area of the figure is 352 cm².
The answer is a^2 + 5a - 104 I think
9 inches* 6 beads per inch= 54 beads used.
The integer to represent the change in how many beads you have now is -54 since 54 were used up to make the necklace. You now have less beads than before, so the number should be negative.
