Answer:
y² = 9² + 19² - 2(9)(19)Cos (41°)
Step-by-step explanation:
Triangle X Y Z is shown.
The length of X Y is 9,
the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
Law of cosines is given as:a²= b² + c² – 2bccos(A)
Applying this to Triangle XYZ, and since we are Solving for y
y² = x² + z² - 2xzCos Y
The length of X Y = x is 9,
the length of Y Z = y is 19
y²= 9² + 19² - 2(9 × 19)Cos (41°)
= y² = 9² + 19² - 2(9)(19)Cos (41°)
Option d is correct
Answer:
The value of x is -10.
Step-by-step explanation:
Given : Expression 
To find : What is the value of x?
Solution :
Step 1 - Write the expression,
Step 2 - Cross multiply,
Step 3 - Take like terms together,
Step 4 - Solve,
Therefore, The value of x is -10.
Answer:
20 20/27
Step-by-step explanation:
(2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27
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<em>Additional comment</em>
The first two numbers can be written as a difference and a sum:
= (3 -1/3)(3 +1/3)(2 1/3)
= (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)
= (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27
= 20 20/27
(h,k) is the vertex
b/2a is the line of symmetry
a > 0 parabola opens upward, vertex is a minimum
a < 0 parabola opens downward, vertex is a maximum
My first answer was deleted lolol
Answer:
Step-by-step explanation:
Let equal sides of an isosceles triangle = a inches
Base = 
inches
Perimeter = 32 inches
a + a + = 32
Subtract 2 from both sides
a = 12 inches
base = 
= 6 + 2
Base = 8 inches
