Answer:
-10h+8
Step-by-step explanation:
First, let's open the brackets:
-6h-13+21-4h (two -'s make a +)
This is equal to -10h + 8
Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
C: 7(-n) - 3 = n + 4
hope it helps!
About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.
First, we need to find the region between the z-scores.
If you look at a normal distribution table, you will get the following values:
0.75 = 77.34%
-1.3 = 9.68%
Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%
Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%
The slope of the given line is 2.
The slope of the line perpendicular to the given line is the negative reciprocal of 2 or -1/2.
Answer: -1/2