The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Step-by-step explanation:
The given is,
Right angled triangle,
Side lengths are 8, 15, and 17
Step:1
The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,
Ref the attachment,
For angle a,
...................................................(1)
Where, Opp - 8
Hyp - 17
From equation (1),
= 0.470588
(0.470588)
a = 28.072°
For angle b,
...................................................(1)
Where, Opp - 15
Hyp - 17
From equation (1),
= 0.882352
(0.882352)
b = 61.93°
Step:2
Check for solution for right angle triangle,
90 ° = Other 2 angles
90 ° = a + b
90 ° = 28.072° + 61.93°
90 ° = 90 °
Result:
The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.
Solution
To find Which two numbers on the number line have sn
absolute value of 1.75 .
Absolute value means " how far a number is from
zero " .
"1.75" is 1.75 away from zero .
and " -1.75" is also 1.75 away from zero .
i.e
| 0 - 1.75 | = 1.75
| 1.75 - 0 | = 1.75
So , the absolute value of "1.75" is 1.75
similarly , absolute value of "1.75" is 1.75 .
Hence , the two numbers are -1.75 and 1.75 .
Answer:
21
Step-by-step explanation:
Let x be the amount of ticket for each game
Given
The expression 8x + 62 represents the total cost of the football game
The total coat for the.game will be
8(7)+62
= 56+62
= 118
If 9x + 34 represents the total cost of the baseball game. The total coat will be;
9(7)+34
= 63+34
=97
To know how much more football game costs, we will take the difference in their cost.
Difference = 118-97
Difference= 21
Hence football game costs 21 more than baseball
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
