Simply substitute the value of
3
given. In other words,
f
(
3
)
is the function of
f
(
x
)
, however, in this case,
x
is
3
f
(
3
)
=
3
(
3
)
−
4
Distribute
3
through the parenthesis
f
(
3
)
=
9
−
4
Simplify
f
(
3
)
=
5
Answer:<u> 9.42 inches</u>, 3π in terms of pi
Step-by-step explanation:
A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.
To find the area of a circle, we use the equation A = πr^2. In this case, we will divide the equation by 3 because we are only finding 1/ of a circle. So, our equation will be A = (πr^2)/3.
Using 3.14 for π:
A = (πr^2)/3.
A = (π3^2)/3
A = (π9)/3
A = 3π
A = 9.42
Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
Answer:
Step-by-step explanation:
The quadratic formula would be the following...
![x = \frac{-b (+-)\sqrt{b^{2} - 4ac } }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%28%2B-%29%5Csqrt%7Bb%5E%7B2%7D%20-%204ac%20%7D%20%7D%7B2a%7D)
where the original quadratic equation would be represented as follows
![ax^{2} + bx +c = 0](https://tex.z-dn.net/?f=ax%5E%7B2%7D%20%2B%20bx%20%2Bc%20%3D%200)
Using this information and the information provided in the image we can plug in the quadratic equation values in the image to form the quadratic formula.
![\frac{-(-20)±\sqrt{(-20)^{2} - 4(16)(-6) } }{2(16)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-20%29%C2%B1%5Csqrt%7B%28-20%29%5E%7B2%7D%20-%204%2816%29%28-6%29%20%7D%20%7D%7B2%2816%29%7D)
That would be the correct order for the values.
Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34