Simplify the expression.
1 answer:
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Answer:
It is degrees Fahrenheit when the crickets are chirping
times a minute.
Variables and
y-intercept
slope
Step-by-step explanation:
As the chirps are times per minute for
degrees Fahrenheit we will consider it in
.
Now when the chirps are times and temperature is
degrees we consider it
.
To find the slope we can use point-slope formula.
Where is the slope and
To find y-intercept we will plug out the value of slope in choosing point
.
So
And the equation is
To calculate temperature for chirpings we have to plug
and
in our above equation which is in form of
degrees Fahrenheit.
Finally we have :
Temperature degrees Fahrenheit.
With variables and
y-intercept and
slope
We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.