The diagonal of a square is 60 in, as shown
1 answer:
Answer:
The length of side is 42.4 inches.
Step-by-step explanation:
Given that:
Diagonal of square = 60 inches
As all sides of a square are equal, thus
Side of square = x
The diagonal will be the hypotenuse of a right angled triangle.
Using Pythagorean theorem;
Taking square root on both sides
Hence,
The length of side is 42.4 inches.
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Answer:
C) p(x) has a zero between x=2 and x=4
Step-by-step explanation:
For a polynomial p(x), means that, when p(x) is divided by
, the remainder is
.
This is called the remainder theorem
Therefore ,
means that when p(x) is divided
and
is 1 and
respectively.
Also the Intermediate value theorem says that, if p(a) and p(b) have opposite signs then there is a certain on
where
i.e there is a zero between
and
Therefore the correct answer is C
The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.
<h3>What is correlation?</h3>It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
We have data shown in the table:
We can find the exponential regression equation using the data shown.
After calculating from the data:
a = 172.21 and b = 0.99
The correlation coefficient will be:
r = -0.99
The range will be all real numbers.
The domain will be y > 0
As we can see in the graph x ∈R and y>0
After an hour,
Plug x = 60 minutes in the exponential regression equation:
y = 94.22 degree Fahrenheit
After 4 hours, plug x = 240
y = 15.43 degree Fahrenheit
Similarly, we can find any data from the exponential regression equation.
Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.
Learn more about the correlation here:
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