Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
9514 1404 393
Answer:
- reflected across the x-axis
- vertically stretched by a factor of 2
- translated down 7 units
Step-by-step explanation:
When the function y = x³ is transformed to y = -2x -7, there are three transformations involved. The multiplication by 2 causes a vertical stretch by a factor of 2. The leading minus sign causes the function to be reflected over the x-axis, and the addition of -7 causes the graph to be translated down 7 units.
Hey there!!
How do we find the midpoint?
We take the average , the average is =
Sum of the observations / total number of observations
The end points are given as 4 and 11
Sum = 11 + 4
Number of observations = 2
= 15 / 2
= 7.5 is the midpoint
<h3><u>
Answer:</u></h3>
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
<h3><u>
Step-by-step explanation:</u></h3>
Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:
where P denotes the probability of an event and 
denote the complement of event A.
We know that:
Now,
Hence,
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
A -120 difference will be seen in the temperature within a 7 hour period
<u>Equation</u>
<em>-</em>30 x 7
<em>Multiplying two of different signs ( - + , + - ) will always be negative.</em>
<em>Multiplying two of the same sign ( - - , + + ) will always be positive.</em>
