Answer:
Step-by-step explanation:
<u>Given vertices WXYZ:</u>
Perimeter is the sum of the side length.
<u>Use distance formula to find each side:</u>
<u>Find perimeter:</u>
Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,
(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
Answer:
c. The tip is $10.00
Step-by-step explanation:
The total bill in the restaurant is = $ 68.42
They wanted to pay a gratuity of 15%
Therefore the correct tip can be calculated as :
= 68.42 of 15%
=
= 68.42 x 0.15
= 10.263
≈ 10 (approx.)
Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.