Answer:
Step-by-step explanation:
if center= (h,k)
radius=r
eq. of circle is (x-h)^2+(y-k)^2=r^2
a.
center= (-5,1)
radius=4
eq. of circle is (x+5)^2+(y-1)^2=4^2
b.
center=(5,-1)
radius=4
eq. of circle is (x-5)^2+(y+1)^2=4^2
c.
center=(-5,1)
radius=2
eq. of circle is (x+5)^2+(y-1)^2=2^2
d.
center=(5,-1)
radius=2
eq. of circle is (x-5)^2+(y+1)^2=2^2
Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
Answer:
Volume of the Figure 
Step-by-step explanation:
Volume of the figure = Volume of the Upper cone+Volume of the lower cone
Volume of a cone = 
Volume of the Upper Cone with



Volume of the Lower cone with
and 

Volume of the Whole Figure = 
Volume of the Figure 
Answer:
12x² - 2x - 30
Step-by-step explanation:
(3x - 5)(4x + 6)
12x² + 18x - 20x - 30
12x² - 2x - 30
Answer:
A =315 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 13+29) *15
A = 1/2 (42)* 15
A =315 cm^2