3x-5(8)=2
3x-40=2
3x=40+2
3x=42
x=14
Answer:
The height is given by: 776.5 / 34.5 = about 22.5 yards. So....10 times this is about 225 yards.
Answer:
1/6 ft
Step-by-step explanation:
the pitch of the roof = slope of the roof
slope = rise / run = 7 / 42 = 1/ 6 ft
Answer:
x =pi/2,3pi/2
Step-by-step explanation:
sin²(x) - cos²(x) - sin²(x) = 0
Simplify
sin²(x) - sin²(x) = 0
Leaving us with
- cos²(x) = 0
Divide each side by -1
- cos²(x/-1 = 0/-1
cos²(x) = 0
Take the square root of each side
sqrt( cos²(x)) = sqrt(0)
cos(x) = 0
Taking the inverse cos of each side
cos^-1(cos(x)) = cos^-1(0)
x = pi/2 x = 3pi/2
<h3>
Answer: A) around 80 cm</h3>
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Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
