Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
The mode of the data set is 92.
Answer:
The sample space is:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
Explanation:
The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.
Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,
Use letters N, W, and K to represent, respectively, the colors brown, white and black.
Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
Answer:
26.75
Step-by-step explanation:
There are two ways to do this. You can use the base*height/2 formula for the area of the triangle, or use the complex formula of determining triangle area without height.
The first is A=(b*h)/2
In this case you need to find the height using a²+b²=c²
Take your base (7.6) and divide it by 2 this will give you the bottom side of your triangle (3.8) now plug this, and the side value of 8 into the formula. Remember c is the hypotenuse (diagonal side) and x is the height.
3.8²+x²=8²
14.44+x²=64
x²=49.56
x=7.039 -now you have the height for the triangle and can use this to find the area
A=b*h (in this case we dont have to divide by two since we need two triangles because we split the original in two to find the base of 3.8)
so it's 3.8*7.039=26.75
(If you need more help look up Silicon Valley High school's video titled, "How to find the area of a triangle (without the height)"
It will teach you the formula 
which teaches you to find the area of any triangle when all you are given is three sides
Answer:
17 feet
Step-by-step explanation:
8 squared is 64
15 squared is 225
225 + 64 = 289
289 square root is 17
