Answer: C. a dialation by a scale factor of 5
Step-by-step explanation:
Answer:
a=31.61
Step-by-step explanation:
Pythagorean theorem states that square hypotenuse side is equal to square opposite side plus square adjacent side
Hyp²= Opp²+Adj²
the opposite is represented by a in the question, so
60²=a²+51²
3600=a²+2601
combine the like terms
3600-2601=a²
999=a²
a²=999
square root both sides to remove the square
√a²=√999 {square cancels the square root
a=√999
a=31.606
a=31.61 approximately
Answer:
90km² only if it is parallelogram
Step-by-step explanation:
base = 9km
height=10km
area of parallelogram = b x h
=9km x 10km
=90km²
Answer:
148
Step-by-step explanation:
The total yield was ...
64,100 +8,120 = 72,220 bushels
The average yield was ...
(72,200 bu)/(488 ac) = 148 bu/ac
Your yield per acre is 148 bushels.
____
<em>Comment on corn yield</em>
Average corn yield in the US in 2018 was 176.4 bushels per acre. The highest was 270 bu/ac in a southeastern Washington county.
Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
<h3>
What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:


Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, her profit is modeled by:

Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967