The problem statement suggests you use a calculator. A graphing calculator can give the answers you seek.
a) The calculator shows 5 solutions:
{5π/23, 5π/17, 25π/23, 25π/17, 45π/23}
These have approximate decimal values of
{0.6830, 0.9240, 3.4148, 4.6200, 6.1466}
b) The calculator shows 2 solutions with approximate decimal values of
{1.2925, 4.4341}
c) The calculator shows 2 solutions with approximate decimal values of
{1.3694, 4.9137}
_____
This (desmos) calculator displays intercepts to 3 decimal places. Since you want 4 decimal places, some additional refinement of the answer was necessary. That was accomplished using Newton's method iteration. The details are not shown. A suitable graphing calculator (for example, a TI-84) will supply the intercept coordinates to full calculator accuracy.
Answer:
Step-by-step explanation:
3rd one
A soccer ball is an icosahedron with curved faces that is why it can be regarded as spherical. The volume of a sphere is calculated through,
Vs = 4<span>πr^3/3
where Vs is the volume and r is radius. From the given, 8.65 in is the diameter which is 4.325 in in radius.
Vs = 4</span><span>π(4.325^3)/3 = 338.88 in cubed.
Thus, the volume of the ball is 338. 88 in cubed. </span>
The required simplified solution of the given expression is -40.
Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 10c - cd + d³
Substitute the values,
= -60 + 12 + 8
= -40
Thus, the required simplified solution of the given expression is -40.
Learn more about simplification here:
brainly.com/question/12501526
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