Answer:
84 in²
Step-by-step explanation:
The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.
These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...
A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.
Answer:
$2,700
Step-by-step explanation:
810/30=27
27*100=2700
Check your work:
2700*.3=810
Answer:
The slope of the line is m = 1
Step-by-step explanation:
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m = y2-y1 / x2-x1
m = 2 - 5 / -1 - 2
m = -3 / -3
m = 1
X1 is 2
Y1 is 5
X2 is -1
Y2 is 2
Answer: (C) 0.1591
Step-by-step explanation:
Given : A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a normal distribution with
Let x be the random variable that represents the lifetime of the tires .
z-score : 
For x= 44,500 miles
For x= 48,000 miles
Using the standard normal distribution table , we have
The p-value : 
Hence, the probability that a randomly selected tire will have a lifetime of between 44,500 miles and 48,000 miles = 0.1591
Answer:
4.5
Step-by-step explanation:
0.5p-3.45=-1.2
add 3.45 to -1.2 which would leave the equation to look like
0.5p=2.25
then divide 0.5 to both sides cancelling 0.5 leaving the answer to be
p=4.5
