Answer:
72 square units
Step-by-step explanation:
The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:
A = LW
A = (12)(6) = 72 . . . . square units
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<em>Additional comment</em>
Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.
Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

Hi!
2.06m + 6.13 = 17.78
First subtract 6.13 from both sides
2.06m + 6.13 - 6.13 = 17.78 - 6.13
2.06m = 11.65
Divide by 2.06 on both sides
2.06m/2.06 = 11.65/2.06
m = 5.7
Rachel can travel 5.7 miles.
Hope this helps! :)
Answer:
it is an acute scalene triangle
The corrected parts of the question has been attached to this answer.
Answer:
A) Probability that the error is less than 0.2 mm; P(X < 0.2) = 0.0272
B) Mean Error (E(X)) = 0.6
C) Variance Error (V(X)) = 0.04
D) Answer properly written in attachment (Page 2)
E) P(0<X<0.8) = 0.8192
Step-by-step explanation:
The probability density function of X is;
f(x) = { 12(x^(2) −x^(3) ; 0<x<1
So, due to the integral symbol and for clarity sake, i have attached all the explanations for answers A - D.
E) The probability that the specification for the error to be between 0 to 0.8 mm is met will be;
P(0<X<0.8) = F(0.8) − F(0) =12([(0.8)^(3)] /3] −[(0.8)^(4)]/4]
= 0.8192
So, the probability is 0.8192.