Answer: option 4 is the correct answer.
Step-by-step explanation:
The graphs shown in the photo are plots of distance versus time.
Distance travelled = speed × time
On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be
6 × 1.25 = 7.5 miles
She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.
She then ran for another hour at a speed of 5 miles per hour. Distance covered would be
5 × 1 = 5 miles
Total time spent would be
1.25 + 0.25 + 1 = 2.5 hours
Total distance covered would be
7.5 + 5 = 12.5 miles
Therefore, the 4th graph best represents the distance she traveled
Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y

Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
Answer:
Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.
Step-by-step explanation:
Given :
,
and 
To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
Solution :

Substitute a=1.5,



Now, taking function 
Substitute C=9750,



Now, taking function 
Substitute a=1.5,



Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.