The value of x in the figure is 9.72
<h3>How to determine the value of x?</h3>
The given shape is a triangle, and the value of x can be calculated using the following laws of cosine
a^2 = b^2 + c^2 - 2bc * cos(a)
So, the equation becomes
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)
Evaluate the value of cos(44)
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193
Evaluate the product
x^2 = 296 - 201.404
Evaluate the difference
x^2 = 94.596
Evaluate the exponent
x = 9.72
Hence, the value of x in the figure is 9.72
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Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer
Answer:
Option a) 50% of output expected to be less than or equal to the mean.
Step-by-step explanation:
We are given the following in the question:
The output of a process is stable and normally distributed.
Mean = 23.5
We have to find the percentage of output expected to be less than or equal to the mean.
Mean of a normal distribution.
- The mean of normal distribution divides the data into exactly two equal parts.
- 50% of data lies to the right of the mean.
- 50% of data lies to the right of the mean
Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.
we will find the area of triangle with sides 5y,6y and 9y using herons formula
Answer:
rc length = 10 * 8pi/5
= 16pi
This is the circumference of the base
(a) 2pir = 16pi where r = radius of base
2r = 16
r = 8 cm
(b) 10^2 = h^2 + 8^2
h^2 = 100 - 64
= 36
h = 6 cm
