Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches
Answer: 14
Step-by-step explanation:
Okay so it asks in all, which means morning distance + afternoon distance
We got the afternoon distance so now we have to find the morning one
it says the afternoon distance (6), is 25% less than the morning distance.
Which means the afternoon distance is 0.75 of the morning distance.
so 0.75x = 6, x = 6/0.75 = 8
Then you add 8 to 6 to get 14
Based on the information given, the true statement true about their gas-price data is A. Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
<h3>
Solution to the gas-price data.</h3>
It should be noted that a standard deviation simply measures how dispersed the data will be in relation to the mean.
From the complete question, the mean of Raquel's data is given as 3.42 while the standard deviation is given as 0.07. On the other hand, the mean of Van's data is given as 3.78 while the standard deviation is given as 0.23.
Therefore, it can be deduced that Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
Learn more about standard deviation on:
brainly.com/question/19243813
You may recall that you can't take the square root of a negative number (if you want a real number). So, the area under the square root, also known as the radicand, must be zero or positive. This is how we restrict the domain.
We write the inequality

.
B