Answer:
D) 53 Degrees.
Step-by-step explanation:
Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.
1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.
2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.
3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.
Answer:
b
Step-by-step explanation:
We know that
A bowling lane<span> is 42 inches wide and </span>60 feet<span> long
1 ft-------> 12 in
60 ft-----> X
X=60*12------> X=720 in
</span>
[the length of a circumference]=2*pi*r
for r=8.5/2------> r=4.25 in
[the length of a circumference]=2*pi*4.25---------->26.69 in
if 26.69 in represent---------------> 1 revolution
720 in (bowling lane)------------> X
X=720/26.69------> X=26.98 revolution
the answer is
26 revolutions
<h2>
Answer:</h2><h2>
The quotient when 69.54 is divided by 7.6 is 9.15</h2>
Step-by-step explanation:
We have to divide, 69.54 by 7.6
Therefore, the quotient is 9.15 with remainder 0
To check the answer, multiply 9.5 by 7.6, we get the product as 69.54
Therefore, the quotient when 69.54 is divided by 7.6 is 9.15
Given:
The polynomial is
To find:
The real and complex zeros of the equation.
Solution:
We have,
For zeros, p(x)=0.
The real value of x is 0. The equation 
will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get
On further simplification, we get
Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
