Answer:
432 yd squared
Step-by-step explanation:
This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:
A = bh = (19 1/5) * (22 1/2)
To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:
A = 19.2 * 22.5 = 432
Thus the area is 432 yd squared.
Hope this helps!
Answer: Steps 4 and 5
Step-by-step explanation:
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Item | Frequency
0 | 2
1 | 5
2 | 4
3 | 3
5 | 1
Hope I helped!
Answer:
Step-by-step explanation:
x(3x+2)=16
3x²+2x-16=0
3x²+8x-6x-16=0
x(3x+8)-2(3x+8)=0
(3x+8)(x-2)=0
either 3x+8=0
x=-8/3(rejected as width can't be negative)
x-2=0
x=2
so width=2
length=3×2+2=6+2=8
