The
equation of velocity of sound in air is v = 20 √(273 + t). In this problem, we
need to find the temperature when the velocity is 329 meters/s. You need
to measure the time it takes a sound to travel a
measured distance in order to measure its speed in air.
Given:
Velocity
of sound in air equation = v = 20 √(273 + t)
Velocity
= 329 m/s
To
solve:
V = 20 √(273 + t)
<span>
329 = 20 * sqrt(273 + t)</span>
<span>
16.45 = sqrt(273 + t)</span>
<span>
273 + t = 16.45^2</span>
<span>
t- 16.45^2-273</span>
<span>
t = -2.4 degrees Celsius</span>
<span>So, the
temperature when the velocity is 329 meters per second is -2.4 degrees Celsius.</span>
Answer:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer:2.Triangles ABD and CDB are congruent by the SAS postulate.
Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." is perfectly correct.
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." this is also true
so by now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent
First, we are going to use the formula of the circumference of a circle:

where

is the circumference of the circle.

is the radius of the circle.
We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be:

. Lets replace that value in our formula:



miles
Next, we are going to use the distance speed time formula:

where

is time

is distance

is speed
We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore,

. We also know for our previous calculation that the circumference of the crater is 3.14 miles, so

. Lets replace those values in our formula to find

:



hours
We can conclude that it will take Latisha 1.6 hours <span>
to walk all the way around the crater.</span>
Answer:
48
Step-by-step explanation: