Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
Answer:
= 18 cubic inches
Step-by-step explanation:
The volume of a cone is given by the formula;
V = 1/3 × base area × height
While that of cylinder is given by the formula;
Volume = Base area × height
Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.
Therefore;
The cone has three times less volume compared to the cylinder.
Thus;
Volume of the cylinder = Volume of cone × 3
= 6 In³ × 3
<u>= 18 cubic inches</u>
Answer:
m = -3
Step-by-step explanation:
The formula to find the slope of the line is :
slope = m = 
Given that the two coordinates of the line are :
( -1 , - 7 ) ⇒ ( x₁ , y₁ )
( 1 , -13 ) ⇒ ( x₂ , y₂ )
<u>Let us solve now.</u>
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( -7 - ( -13)) ÷ ( -1 - 1 )
m = ( -7 + 13 ) ÷ ( -2 )
m = 6 ÷ -2
<u>m = -3 </u>
Answer:
-24 - 57i
Step-by-step explanation:
i'm assuming that this is a question about imaginary numbers and that i²= -1
we can expand the binomial by using the FOIL method (see attached)
(6 − 7i)(3 − 6i)
= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)
=18 - 36i - 21i + 42i² (recall that i²= -1)
= 18 - 57i + 42(-1)
= 18 - 57i - 42
= -24 - 57i
