change each mixed number to an improper fraction
33 1/2 = (2*33 +1)/2 67/2
1 1/4 = (4*1+1)/4 = 5/4
67/2 divided by 5/4
copy dot flip
67/2 * 4/5
268/10
26 8/10
26 4/5 miles per gallon
Hello :
<span>(x + 2)² + (y-3)² = 9²
the center is : R(3 , 0 ) and radius r = 9
the </span> point D is on the interior if : RD <span>< 9
</span>the point D is on the exterior if : RD > 9
the point D is circumference of the circle if :RD = 9
Answer:
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> volume of the larger solid
y----> volume of the smaller solid
we have
substitute
step 2
Find the surface area of the larger solid
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the larger solid
y----> surface area of the smaller solid
we have
substitute
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:

was, before it was rationalized,

Therefore,

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
Answer:
Option B, 22
Step-by-step explanation:
Alternate interior angles are same