The height of the television set would be 21.6 inches to the nearest inch.
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.
Let b represent the height of the television set.
We will use the Pythagorean theorem;
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
√ b² =√ 468
b = height
b = 21.6 inches
Therefore, the height of the television set would be 21.6 inches to the nearest inch.
Learn more about Pythagoras' theorem here:
#SPJ5
Answer:
x = 120
Step-by-step explanation:
An equilateral triangle has 3 equal angles
The sum of the angles is 180
180/3 = 60
x + 60 = 180 since they form a straight line
x = 180-60
x = 120
Answer:
X...................
Answer:
660 ways
Step-by-step explanation:
we have two numbers in consecutive positions in this question
(1,1) and (2,2)
numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360
number of ways that (2,2) are in consecutive positions = 6!/2! = 360
the permutation of (11),(22),3,4,5 = 5!
ps:I countedthepairsasoneeach.
5! = 120
to get total number of permutations
7!/2!2!
= 5040/4
= 1260
the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120
= 660 ways
Answer:
21%
Step-by-step explanation:
195 divided by 245 = 0.79 approximately
100-79=21
Always divide the small number by the big number for percentages
Good luck!
Answer:
12 inches
i hope this helped
Answer:
x > -9
Step-by-step explanation:
–4x ≤ 36
Divide by -4, remembering to flip the inequality
-4x/-4 > 36/-4
x > -9