Afarm receives a delivery of 300 bales of hay. the farmer can unload the bales of hay at a rate of 90 bales per hour. which function, f(t), represents the number of bales of hay that still need to be unloaded after t hours? f(t)=300(t−90) f(t)=300−90t f(t)=300(t+90) f(t)=300+90t

Step-by-step explanation:

Number of bales to be delivered = 300

Hourly rate to unload bales  = 90

Let number of hours be represented by 't'.

Also represents the number of bales that still need to be unloaded after 't' hours.

The number of bales that still need to be unloaded after t hours can be calculated by Subtracting rate to unload bales multiplied with number of hours from Number of bales to be delivered.

framing in equation form we get;

Hence Final Answer is .

Please look at the steps below.

Step-by-step explanation:

1) m∠BAC=m∠CAD,   m∠ACB=m∠ADC=90 degrees , then  m<ABC=m∠ACD.

Therefore, triangles ADC and ACB are similary by AAA theorem.

2)AC /AB = AD/AC

3) Substituting the lengths, we get b/c = e/b

4) Cross multiplying the ratio, we get b^2 = ce

5)  m∠ABC=m∠CBD, m∠ACB=m∠CDB=9, then  m∠BAC=m∠BCD  and the triangles BDC and BCA are similar by AAA theorem.

6)  The ratio of the corresponding sides of similar triangles is in proportion.

BC/BD = AB/BC

7) Substituting the lengths, we get a/d = c/a

8) a^2 = cd

9) Add the results in 4) and 8), we get b^2 + a^2 = ce + cd

10) b^2 + a^2= c(e + d)

11) e + d =c, when we plug in step 10, we get  a^2 + b^2 = c.c

a^2 + b^2 = c^2.

Hope this will helpful.

Thank you.