Answer:
Diameter = 9
Step-by-step explanation:
Let the diameter be represented as x.
Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
(16 + x)(16) = 20²
256 + 16x = 400
Subtract 256 from each side
16x = 400 - 256
16x = 144
Divide both sides by 16
x = 144/16
x = 9
Diameter = 9
<h2>
Answer:</h2>
<h2>
Explanation:</h2>
<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 
, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:
Finally, the height is:
Answer:
The answer to your question is the third option
Step-by-step explanation:
a) 0.023x³ + 0.4x² - 2.1x + 8.3
0.023(2)³ + 0.4(2)² - 2.1(2) + 8.3
0.023(8) + 0.4(4) - 2.1(2) + 8.3
0.184 + 1.6 - 4.2 + 8.3
10.084 - 4.2
5.884
b) 0.023(4)³ + 0.4(4)² - 2.1(4) + 8.3
0.023(64) + 0.4(16) - 8.4 + 8.3
1.472 + 6.4 - 8.4 + 8.3
16.172 - 8.4
7.772
When x=1, 7x+3 = 10.
When x=2, 7x+3 = 17.
When the value of 'x' changes from '1' to '2', the value of 7x+3 changes
from '10' to '17' . . . a distance of '7' .
That's what the ' 7x ' in the equation means, and that's what we mean
when we say that the 'slope' of the equation is '7'. 'y' changes '7' for
every '1' that 'x' changes.
