Hey there! :D
Plug it into the Pythagorean theorem.
a^2+b^2=c^2
10^2+24^2= 33^2
100+ 576= 1089
676= 1089
Since the hypotenuse is bigger than the sides, it is an obtuse triangle.
I hope this helps!
~kaikers
Answer:


Step-by-step explanation:
Given a parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: we have to find the area of ABCD.



Part B:
We have to decompose this parallelogram into two triangles.
Join diagonal AC
As the diagonal of parallelogram divides it into two congruent triangles of equal area
Hence, the area of each triangle is


Answer:
B. 
Sam must hit at least 24 runs in 6th season to qualify for the home run trophy.
Step-by-step explanation:
Let H be number of runs Sam hits in 6th season.
We have been given that Sam wants to be named the greatest home run hitter of his baseball league. In the past 5 seasons he has hit 24, 20, 23, 20, and 21 home runs, respectively.
Let us find the number of runs scored by Sam adding the number of hits in his past 5 seasons.

We are told that to qualify for the home run trophy he must average at least 22 home runs in 6 seasons. So to qualify this season Sam's average must be greater than or equal to 22.
We can represent this information in an inequality as:

Let us solve our inequality to find the least number of runs Sam must hit to qualify.
Multiplying both sides of our inequality by 6 we will get,



Therefore, Sam must hit at least 24 runs this 6th season to qualify for the home run trophy.
Answer:
$492.50
Step-by-step explanation:
To start off, we already know that Vanessa makes at least $400 every week. What we don't know is how much Vanessa makes from her 5% commission on what she sells.
To solve for that, we need to find what 5% of $1,850 is. This can be done by multiplying $1,850 by 5%. Remember, we need to change 5% into its decimal form (5% ->
-> 0.05).
$1,850 x 0.05 = $92.5
This means that Vanessa made $92.5 off of commissions last week. The last step is to add her base salary of $400 to her commission sales and we get our final answer.
$400 + $92.5 = $492.50
Vanessa's total pay last week was $492.50