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.
Answer:
Andre's total bill=$196.0089
Step-by-step explanation:
Step 1
The total bill per item can be expressed as follows;
Bill per item=original price-(discount rate×original price)
Step 2
The expression above can be used to determine the amount paid per item;
VCR bill=180.95-(30% of 180.95)
VCR bill=180.95-(0.3×180.95)=$126.665
Shirts=48-(0.65×48)=$16.80
Necklace=106-(0.6×106)=$42.40
6% of jewelry and electronic purchases=(42.4+126.665)=$169.065
Sales tax=(6/100)×169.065=$10.1439
Step 3
Andre's total bill=shirt+VCR+necklace+sales tax
Andre's total bill=(16.80+126.665+42.40+10.1439)=196.0089
Andre's total bill=$196.0089
Step-by-step explanation:
Bank statement would contains the following things as mentioned below:
1) A bank statement is a important document which is sent to the company by the bank to maintain records whereas a check register is maintained by the company which recorded the checks issued in the particular time.
2) A bank statement would contain the deposits and withdrawals details that are made in the past months and the balance at the end of the month whereas a check register would contains name of payee and the reason for the payment etc.
19 x 1 = 19 and 1 x 19 = 19
A)
8^2+9^2=c^264+81=c^2
c^2=145c=sqrt 145c=12.04
B)
Pythagerean Theorum:
A^2+B^2=C^2, where C is the hypotenuse and A and B are the other legs
15^2=9^2+B^2
225=81+B^2
225-81=B^2
144=B^2 (square root both sides)
12=B
