Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
.
The first runner's speed is 4/5 of the speed of the second runner, hence:
Hence, the speed of the runners are of 16 mph and of 20 mph.
More can be learned about proportions at brainly.com/question/24863377
Answer:
It is a trinomal because there is 3 terms
It is a quadratic because the highest degree is x^2
All in all, It is a Quadratic Trinomal
Step-by-step explanation:
Answer:
There appears to be statistical bias.
Step-by-step explanation:
There is a likelihood of potential bias in the experiment. This is is because the results can be manipulated so that they can be in line with the organization's objectives and of the funders.
Only verified and quantified surveys are able to provide statistically unbiased results.
The solution to the given quadratic equation is;
x = -2 and x = 1/5
<h3>Roots of quadratic Equation </h3>
We are given the quadratic function;
(x + 2)(5x - 1) = 0
In quadratic functions, when it is expressed as;
(x + a)(x - b) = 0, what this means is that the factors of the quadratic equation or polynomial are; (x + a) and (x - b)
What that means is that the roots will be gotten from;
(x + a) = 0 and (x - b) = 0
Thus, applying the concept above on roots of a polynomial to our question, we have;
(x + 2) = 0 and 5x - 1 = 0
Solving them gives us;
x = -2 and x = 1/5
Read more on roots of quadratic equation at; brainly.com/question/8649555
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
<h3>How to calculate the area of the sector?</h3>
The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
<h3>How to calculate the area of a triangle with an angle?</h3>
The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
<h3>Calculation:</h3>
It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
Learn more about the area of a sector here:
brainly.com/question/22972014
#SPJ1
