The distance would be 2√3 , in other words it is 2 square root 3
6 × 1,000 = 6,000
2 × 10 = 20
3 × 1/10 = 3/10 = 0.3
5 × 1/1,000 = 5/1,000 = 0.005
6 × 1,000 + 2 × 10 + 3 × 1/10 + 5 × 1/1,000 = 6,020.305
Answer:
b. y-y1 = m(x-x1)
Step-by-step explanation:
It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.
- slope-intercept form: y = mx + b
- point-slope form: y -y1 = m(x -x1)
- two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
- intercept form: x/a +y/b = 1
- standard form: ax +by = c
- general form: ax +by +c = 0
Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.
a) P = 2(l+w) Sadie
P =2l+2w Eric
b) Sadie : P = 2(30+75) = 2(105) = 210
Eric: P = 2(30) +2(75) = 60+150 =210
9514 1404 393
Answer:
115.5 cubic yards
Step-by-step explanation:
The volume is given by the formula ...\
V = 1/3πr²h
Here the diameter is 7 yards, so the radius is 3.5 yards. The volume is then ...
V = (1/3)π(3.5 yd)²(9 yd) = 36.75π yd³ ≈ 115.454 yd³
The volume of the cone is about 115.5 cubic yards.