Answer:
300 Square feet
Step-by-step explanation:
Susan built a rectangular fence around her swimming pool.
Length=15ft
Width(or Breadth)=10ft
Height=6ft
To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.
Surface Area of a Cuboid= 2(LW+LH+WH)
However since the top and bottom are open, the Surface Area becomes
Surface Area of the fence= 2(LW+WH)
=2((15X6)+(10X6)
=2(90+60)=2 X 150 =300
Susan uses 300 Square feet to build her fence.
The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
<h3>Equation of a line</h3>
The equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
Given the equation y = -x + 2, the slope of the line parallel to the line is -1
Substitute the slope and point (-3, -5)
y -(-5) = -1(x - (-3))
y+5 = -(x + 3)
y+5 =-x - 3
y = -x - 3 - 5
y = -x - 8
Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
Learn more on equation of a line here: brainly.com/question/18831322
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Time is 16.75 seconds when the arrow reaches 200 ft
Step-by-step explanation:
- Step 1: Find time at height of 200 ft
Height = 200 ft
v = 280 ft/s
Projectile formula, h = -16t² + vt
⇒ 200 = -16t² + 280t
⇒ 16t² - 280t + 200 = 0
⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)
Using quadratic formula to find t
t = (35 ±√35² - 4×2×25)/2×2
t = (35 ±√1225 - 200)4 = 35 ± 32.02/4
∴ t = 67/4 or 3/4
t = 16.75 seconds
2100 - 0700 = 1400
In Beijing, it is 14 hour later than in Washington DC.
2100 + 1400 =
Split 1400 into 300 + 1100
2100 + 300 = 2400 = midnight of the next day.
2400 = 0 (midnight)
0 + 1100 = 1100
Answer: 1100 hours Sunday in Beijing
