Answer:
5
Step-by-step explanation:
We know that a^2+b^2=c^2 from the Pythagorean theorem where a and b are the legs and c is the hypotenuse
4^2+3^2 = c^2
16+9 = c^2
25 = c^2
Taking the square root of each side
sqrt(25) = sqrt(c^2)
5 =c
Length = 60; Width = 36
The formula for Perimeter is P = 2L + 2W
Where L = length; W = width
192 = 2L + 2W
= 2(5x) + 2(3x)
= 10x + 6x
= 16x
192/16 = 16x/16
x = 12
Substitute the values:
192 = 2(5x) + 2(3x)
= 2(5*12) + 2(3*12)
= 2(60) + 2(36)
192 = 192
Answer:
<em>31 foot</em>
Step-by-step explanation:
Radius of the circular path = 15 feet
Angle of horse travel on a circular path =
radians = Central Angle
Central angle =
degrees = 120°
Distance travelled by the carousel horse on the circular path over an angle of
= Arc length
We can use the formula below to calculate arc length;
°![\frac{Central Angle}{360} = \frac{Arc length}{2\pi r}](https://tex.z-dn.net/?f=%5Cfrac%7BCentral%20Angle%7D%7B360%7D%20%3D%20%5Cfrac%7BArc%20length%7D%7B2%5Cpi%20r%7D)
![\frac{120}{360} = \frac{Arc length}{2\pi\times 15}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B360%7D%20%3D%20%5Cfrac%7BArc%20length%7D%7B2%5Cpi%5Ctimes%2015%7D)
Arc length =![10\pi](https://tex.z-dn.net/?f=10%5Cpi)
Arc length = 31.4 foot
Arc length (rounded to the nearest foot) = 31 foot
Step-by-step explanation:
Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)
which means (x ,y-2) = (-2,1)
right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )
(x+3,y)= (1,3)
up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)
and move it 4 units in the left direction of the horizontal line (x axis )
(x-4,y+1l. = (-6,4)
Answer:
58.5cm
Step-by-step explanation:
14 plus 17.5 minus 90 (the degree of a right angle)