Referring to the figure, the circle shown is drawn on grids. Find

I posted this 2 hours ago can someone pls help?

nikdorinn [45]

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The area of the circular region, A = $\pi r^2$

where r is the radius

Now substituting r = 40 , we get

A = $\pi \times 40$

$A = 125.6 ft^2$

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet = 1 gallon

so to cover 1 square feet = $\frac{1}{400}$ gallon

Now to cover 125.6 ft we need

$125.6 \times \frac{1}{400}$

$\frac{125.6}{400}$

=> 0.314 gallon

4 0

3 years ago

The formula for converting a Celsius temperature to a Fahrenheit temperature is: F = C × 9⁄5 + 32 If C = 100 degrees, what is th

zmey [24]

F = 1.8C + 32
F = 1.8(100) + 32
F = 180 + 32
F = 212 degrees

7 0

3 years ago

PLEASE HELP

Sholpan [36]

1) We have that the equation is $x^2=20y$ , hence y=x^2/20. The standard equation of such an equation is y= $\frac{1}{4p} x^2$ . Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is $x=3y^2 \\ \frac{1}{4p} =3$ . Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y= $y=\frac{1}{4p} x^2= \frac{1}{36 } x^2$ .
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: $y= \frac{1}{4p} x^2$ we get y= $\frac{1}{32} x^2$ .
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the form $x= \frac{1}{4p} y^2$ . Substituting p=7, we get $x= \frac{1}{28} y^2$ .
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). $-a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378$ . Thus a=0.378. Hence the correct expressions is y=-0.378* $x^2$