Answer:
Length of the bold sector: 40.3ft
Area of the bold sector: 282.08
Step-by-step explanation:
Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3
Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Step-by-step explanation:
Given

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2
As the product of slopes of two perpendicular lines is -1.

Slope intercept form is:

Putting the value of slope
y=-2x+b
To find the value of b, putting (9,8) in the equation

Putting the values of b and m

Hence,
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
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Domain is the x values you can use
range is the y values
a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)
range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)
b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]
range is from -4 to 2, not including -4
range is R=(-4,2]
Answer:
4082
Step-by-step explanation:
Given
The composite object
Required
The volume
The object is a mix of a cone and a hemisphere
Such that:
<u>Cone</u>
---- radius (r = 20/2)

<u>Hemisphere</u>

The volume of the cone is:



The volume of the hemisphere is:



So, the volume of the object is:





