Answer:
8
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
we can see that the two lines intersect at the point (1,2)
thus this is the solutions to both lines which is answer B
Answer:
The volume of a right circular cone is
.
Step-by-step explanation:
The circumference of the base of a right circular cone is 125.6 ft.
Height of cone is 75 ft.
Circumference of base is :
, r is radius
![r=\dfrac{C}{2\pi}\\\\r=\dfrac{125.6}{2\times 3.14}\\\\r=20\ ft](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7BC%7D%7B2%5Cpi%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B125.6%7D%7B2%5Ctimes%203.14%7D%5C%5C%5C%5Cr%3D20%5C%20ft)
The volume of a cone is given by :
![V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (20)^2\times 75\\\\V=31400\ \text{feet}^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%20%2820%29%5E2%5Ctimes%2075%5C%5C%5C%5CV%3D31400%5C%20%5Ctext%7Bfeet%7D%5E3)
So, the volume of a right circular cone is
.
Answer: Last Option
![P=0.4125](https://tex.z-dn.net/?f=P%3D0.4125)
Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:
![A = lw](https://tex.z-dn.net/?f=A%20%3D%20lw)
Where l is the length and w is the width.
In this case we have to:
![l = 3.3](https://tex.z-dn.net/?f=l%20%3D%203.3)
![w = 0.125](https://tex.z-dn.net/?f=w%20%3D%200.125)
So
![P = A = 3.3 * 0.125](https://tex.z-dn.net/?f=P%20%3D%20A%20%3D%203.3%20%2A%200.125)
![P=0.4125](https://tex.z-dn.net/?f=P%3D0.4125)
The value of the expression for the given values of a and b is -1
<h3>Evaluating an expression</h3>
From the question, we are to evaluate the given expression for the given values of a, b, and c
The given expression is
a + b
The given values are
a = 4,
b = -5,
and
c = -8
To evaluate the given expression for the given values of a and b, we will put the values of a and b into the expression,
That is,
a + b becomes
4 + -5
= 4 -5
= -1
Hence, the value of the expression for the given values of a and b is -1
Learn more on Evaluating an expression here: brainly.com/question/17425636
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