Answer:
The area of the triangle is
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is =
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE =
DE =
DE =
DE =
Base =
Height is DF
DF =
DF =
DF =
Now, the area of the triangle is
=
=
=
=
The answer will be 35.8 , i calculated it
Answer:
1 and 2
Step-by-step explanation:
= 1.41421356237
Using a system of equations, the meaning of point R is given as follows:
A number of books and their cost where both subscriptions cost the same.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable. In a graph, the solution to the system is the intersection point of the two equations.
In this problem, the point R is the point in which:
3y = 96.
That is, the point in which the prices are equal, hence:
A number of books and their cost where both subscriptions cost the same.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:
Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.