As a decimal it would be 0.333..
<span>quadrilateral, sum of interior angles = 360
</span><span>ratio 1 : 2 : 5 : 4
so 1+2+5+4 = 12
360 / 12 = 30
1 x 30 = 30
2 x 30 = 60
5 x 30 = 150
4 x 30 =120
answer
</span><span>
</span><span>The four angles of the quadrilateral are 30,60,150 and 120</span>
Answer:
y = -0.005x² + 50
Step-by-step explanation:
The diameter is 200 feet, so the parabola has roots at (-100, 0) and (100, 0). The maximum height is 50, so the vertex of the parabola is at (0, 50).
Using vertex form of a parabola:
y = a (x − h)² + k
y = a (x − 0)² + 50
y = ax² + 50
Plugging in either root:
0 = a (100)² + 50
a = -0.005
y = -0.005x² + 50
The dimensions of the actual image are 8 inches long by 11 inches wide.
The new scale gives a drawing that is 32 cm long by 44 cm wide.
We use proportions to solve this. For the length of the actual image:
6/1 = 48/x
Cross multiply:
6*x = 48*1
6x = 48
Divide both sides by 6:
6x/6 = 48/6
x =8 inches
For the width of the actual image:
6/1 = 66/x
6*x = 66*1
6x = 66
Divide both sides by 6:
6x/6 = 66/6
x = 11
For the new scale image, use the new scale:
Length:
4/1 = x/8
Cross multiply:
4*8 = x*1
32 = x
Width:
4/1 = x/11
4*11 = x*1
44 = x