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My name is Ann [436]
3 years ago
12

Find the missing dimension of each triangle described Height: 7 in., area: 21 in2

Mathematics
1 answer:
leonid [27]3 years ago
6 0
The basic dimensions of any triangle are its area, base, and height.
They're related by the area equation; the area is half of the base times the height, or:
A=\frac{1}{2} b h
We know the area and the height, so the missing dimension has to be the base. Let's set up an equation by substituting the values the problem gives into the area equation.
21=\frac{1}{2} \cdot b \cdot 7
Can you solve this equation for b?
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Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri
grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of​ $9.50 for each​ piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by​ $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in ​$729​, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0
2 years ago
What percentage of students earning degrees in 2009 were awarded a professional degree?
shusha [124]

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

6 0
3 years ago
Read 2 more answers
Please guys i really need your help and please explain how you got it please
lina2011 [118]
The answer would be C because in order to find the area of a figure, you would need to multiply its height by its width. finding the area of a figure is the same as finding how many units are in a figure. because this is a square and all the sides are equal, by counting the total number of units, you can find the area.
5 0
3 years ago
Find the amount of the annuity due. Round to the nearest cent.
Ber [7]
FVAD=515[((1+0.18/12)^(12*2)-1)/(0.18/12)]*(1+0.18/12)
FVAD=14967.46
5 0
2 years ago
Hi guys can you help me factor these two equations?
mojhsa [17]
Problem # 1

Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)

There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
 (5x     ) (x      )  = 5x^2 +

2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3

3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.

For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6.  This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.

As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.

-------------------------------------------------------------------------------------------------
Problem # 2

Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
                4x^2 (x  - 3) (x - 4)

To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x    )(x    ) and guessing for which numbers will add to -7x and multiply to 12
6 0
2 years ago
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