13 cm<br> Find x.<br><br> 24 degrees

A triangle has sides with length of 5 yards,14 yards,and 16 yards.is it a right triangle

Anna35 [415]

Answer:

As the largest side is

15

yards and smaller sides are

9

yards and

12

yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Square of largest side is

15

2

=

225

and squares of smaller two sides are

9

2

=

81

and

12

2

=

144

.

As

225

=

81

+

144

, the triangle is right angled.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A professor has recorded exam grades for 10 students in his class, but one of the grades is no longer readable. If the mean sco

Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

$\frac{R+x}{10} =80$

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

$\frac{R}{9} = 85\\$ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.