The ratio of 186:76 can be simplified to 93:38 if we divide both numbers by 2.
Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
24/7 = 180/x....24 ft to 7 seconds = 180 ft to x seconds
cross multiply
(24)(x) = (180)(7)
24x = 1260
x = 1260/24
x = 52.5....so it will take 52.5 seconds
Ok so we know it took 4 hrs and 15 minutes, which is the same as 4.25 hrs so we divide 1114 by 4.25 which is 262.118. The average speed of the plane is 262 mph.
Then we just have to multiply 262 by 1.6 to get the speed in kph. That equals 419.2. That means the average speed was 419 kph. Hope that helps!
Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
and the volume of a cone is given by:
since both have the same height and radius, we can solve each equation for 
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
and from the cone's volume formula:
matching the two previous expressions:
we solve for the volume of a cone 
:
substituting the value of the cylinder's volume 
