Answer:
Area = 3,656.6 m²
Step-by-step explanation:
Area enclosed by the track is composed of two semicircles and a rectangle.
Area = area of two semicircles + area of rectangle
= 2(½*πr²) + L*W
Where,
radius of semicircle (r) = ½of 40 m = 20 m
Length of rectangle (L) = 60 m
Width of rectangle (W) = 40 m
Plug in the values
Area = 2(½*π*20²) + 60*40
Area = 400π + 2,400
Area = 3,656.6 m² (aooroximated to nearest tenth)
Answer: 76.5in or 6.37ft
Step-by-step explanation:
You would convert the 4 feet into inches which would be 48in. You would add the 9in and the 19.5in and come up with 76.5in. Then you just convert the 76.5in to 6.375ft
<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:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)
Answer:
Step-by-step explanation:5/6 is 0.83 as a decimal you need to multiply that by 500 to see that 415 out of 500 would prefer talking to texting
