Answer:
The difference between the area of the original triangle and the area of the new triangle is
.
Step-by-step explanation:
The equation for the area of a triangle (
) is:

Where:
- Base, dimensionless.
- Height, dimensionless.
The expression for each triangle are described below:
First Triangle (
,
)

Second Triangle (
,
)

The difference between the area of the original triangle and the area of the new triangle is:



The difference between the area of the original triangle and the area of the new triangle is
.
Answer
15% discount= $561.60
10% discount= $530.40
4% discount = $490.25
step by step
_15% discount_
85% sale percent =$477.36
The list price is 100%
If more less divide
(100/85) * $477.36
=$561.60
_10% discount_
90% sale percent =$477.36
The list price is 100%
If more less divide
(100/90) * $477.36
=$530.40
_4% discount_
96% sale percent =$477.36
The list price is 100%
If more less divide
(100/96) * $477.36
=$497.25
Answer:
12 cm is the width
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
We know the perimeter is 44 and the length is 10
44 = 2 (10+w)
Divide each side by 2
44/2 = 2/2 (10+w)
22 = 10+w
Subtract 10 from each side
22-10 = 10-10 +w
12 = w
The width is 12
Answer:
We have to determine the graph of the given inequality as:

on solving this equation we get:

Since we know that:

Now we know that when
the value of:

Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.
Hence, range of the function in intervals could be written as:
(-∞,-1)∪(-1,∞).
Hence, the graph of the function will be the whole of the number line with a open circle on -1.
Answer:
We have been given confidence interval 95%, mean 20 , data set 30 and standard deviation 3.
We will use the formula: 
Here,
Z-score value at 95% confidence interval is 1.96
On substituting the values in the formula to plug the values:

Now, we have a formula for marginal error:
Marginal error means your answer will be within that percentage only.
Say you have 3% marginal means your value will be within 3% real population 95% of the time.