Answer:
∠a + ∠b + ∠c + ∠d = 360°
Step-by-step explanation:
∠a + ∠c = 180°
∠b + ∠d = 180°
Therefore, 180 + 180 = 360°
Answer:
r=201
d = 77 1/2
Step-by-step explanation:
6) First multiply left and right by 16, to get rid of the fraction:
r - 25 = 11*16
Now add 25 left and right:
r = 11*16 + 25 = 201
7) Add 5 left and right
2/5 d = 31
multiply by 5/2
d = 31 * 5/2 = 77 1/2
Answer:
The formula for calculating the width of the window is

Step-by-step explanation:
<u><em>The question in English is</em></u>
A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?
we know that
The perimeter of the window is equal to

we have

so

simplify
isolate the variable l
----> equation A
The area of the window is equal to

we have

so
----> equation B
substitute equation A in equation B
solve for w

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
---> formula for calculating the width of the window
Answer:
31.4 yards
Step-by-step explanation:
Radius (R) = d / 2
R = 10 / 2 = 5 yards
Circumference (C) = 2 π r
C = 2 * 3.14 * 5 yards
C = 31.4 yards
Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have

Let

Complete the square




------> equation of a vertical parabola in vertex form
The vertex is the point 
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38