Answer:
The height of a water slide is approximately 13 meters.
Step-by-step explanation:
We are given the distance from the base of slide that is 58 meters.
The angle of elevation from the ground to the top of the water slide is 13°
We are required to find the height of a water slide.
Refer to the attached diagram where a triangle has been constructed with respect to the given information.
Recall from the trigonometric Identities,
Where opposite is the unknown height of the slide, adjacent is distance from the base of slide and θ is the angel of elevation.
Therefore, the height of a water slide is approximately 13 meters.
Answer: The value of Z is 14
Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.
However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;
3(X + 4) = X/2 + 37
3X + 12 = X/2 + 37
3X - X/2 = 37 - 12
(6X - X)/2 = 25
6X - X = 25 * 2
5X = 50
Divide both sides of the equation by 5
X = 10
Therefore, Z (X + 4) equals 10 + 4 which gives you 14
The value of Z = 14
The mean of a set of numbers is the average of the set. To find the mean we must add all the numbers in the set together and divide the sum by how many numbers there are in the set.
95 + 78 + 84 + 86 + 89 + 64 = 496
499 / 6 = 82.67
The mean is 82.67.
The mode of a set of numbers is a number that shows up the most in the set. All the numbers in this set appear once, so, there is no mode.
The median of a set of numbers is the number that is in the very middle of the set. Since the middle has two numbers in it we will find the mean of the two of them.
84 + 86 = 170
170 / 2 = 85
85 is median.
To find the range we need to subtract the smallest number by the largest number.
95 - 64 = 31
31 is the range.
I hope this helps. :)
Step-by-step explanation:
the line passes through (0,-2) and perpendicular to the graph of y=5x+7.
solution :
the slope = -1/5
the equation :
y+2 = -1/5 (x-0)
y = -1/5x - 2
