Answer:
4 1/3 inches Smaller piece
16 2/3 inches Larger piece
Step-by-step explanation:
x + (2x + 8) = 21
3x + 8 = 21
3x = 13
x = 13/3
x = 4 1/3 inches Smaller piece
2x + 8 = 8 2/3 + 8
2x + 8 = 16 2/3 inches Larger piece
The area of the flower bed is 77 square feet
<h3>How to determine the area?</h3>
The given parameters are:
- Shape = Triangle
- Perpendicular sides = 14 feet and 11 feet
The area of the flower bed is calculated as:
Area = 0.5 * Product of perpendicular sides
So, we have:
Area = 0.5 * 14 * 11
Evaluate
Area = 77
Hence, the area of the flower bed is 77 square feet
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Answer:- AAS postulate
Explanation:-
- AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.
We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]
⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
⇒ The triangles are congruent [ by ASA postulate]
Using confidence interval concepts, it is found that:
a) The point estimate is the sample mean.
b) The confidence interval is: 
c) If $1411 is between the bounds of the interval yes, otherwise no.
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- At item a, it asks to provide a point estimate for the population mean, which is the sample mean

--------------
Item b:
- In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
- The confidence interval will be given by:

In which:
is the sample mean.- T is the critical value, from the t-distribution, with a two-tailed area of
and n-1 degrees of freedom. - s is the standard deviation for the sample.
- n is the sample size.
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Item c:
We have to check if 1411 is between
and
.
- If it is, the interval includes the National Average, otherwise, it does not.
A similar problem is given at brainly.com/question/24232455
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9