Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
615.44 = (3.14)(radius)^2
<span>radius = square-root of (615.44/3.14) </span>
<span>diameter = radius x 2 </span>
<span>diameter = 28 inches
3.14
</span>
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
600/6 = 100
This is how many numbers Candy counted overall.
100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
Option A is the correct answer.
Explanation:
The given pyramid has 3 lateral triangular side as shown below.
Base of triangle = 12 unit
We need to find perpendicular.
By Pythagoras theorem we have
Perpendicular² = 10²-6²
Perpendicular = 8 unit
So area of 1 lateral triangle = 1/2 x Base x Perpendicular.
= 1/2 x 12 x 8 = 48 unit²
Area of lateral side = 3 x 48 = 144 unit²
Option A is the correct answer.
Answer: - 42.95 feet
Explanation:
Let each ascent be x. Thus,
2 equal ascents = 2x
From the information given,
initial position = - 64.5 feet
Final position after 2 ascents = - 21.4 feet
This means that
- 64.5 + 2x = - 21.4
2x = - 21.4 + 64.5
2x = 43.1
x = 43.1/2
x = 21.55
Thus, Max's elevation after the first ascent is
- 64.5 + 21.55
= - 42.95 feet