Answer:
Step-by-step explanation:
The point of closest approach is on a line perpendicular to the zip line
perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)
y = (8/3)x + b
adding our known point (3, 16)
16 = (8/3)3 + b
b = 8
y = (8/3)x + 8
now find where the two lines intersect by solving two equations with two unknowns
y = (-3/8)x + 8
as the two lines have a common y intercept of 8, that is the common point
(0, 8)
The distance from (0, 8) to (3, 16) is
d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...
d = 8.5 ft
Answer:
4
Step-by-step explanation:
The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.
What's a cube root?
- The cube root of a number is the number you multiply by itself 3 times to get another number.
- One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.
Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.
- 1: 1 x 1 x 1 = 1.
- 2: 2 x 2 x 2 = 8.
- 3: 3 x 3 x 3 = 27.
- 4: 4 x 4 x 4 = 64. (This is the cube root!)
We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
Where
So, we have:
<em>The average time of Group A is higher than that of B, this means that Group A spend more time, on average.</em>
<em></em>
(b) Group A has a greater median
First, we sort the given data in ascending order
The median is then calculated using:
This gives:
The median is the fifth item for both groups.
So, we have:
4.7 is greater than 4.3
Hence, (b) is true
<em>Since (b) is true and only one option is correct, then (c) and (d) are incorrect</em>
Answer:
multiply both sides by 6
Step-by-step explanation:
the first step in solving the inequality m-2/6 less than -1
< -1
To solve the inequality we need to get 'm' alone
we have m-2 in the numerator
First we start with removing the number from the denominator
LEts try to remove 6 from the denominator
To remove 6 we do opposite operation
So we multiply both sides by 6
m - 2 < -6
First step is to multiply both sides by 6
7x13=91 meaning 13 pies were made in total. Since the cafeteria contributed 3 we can subtract 3 from 13. Ultimately meaning that the club contributed 10 pies.
The answer is 10.