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Otrada [13]
3 years ago
7

Can a triangle have angle measures as 140,43, and 7

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

The angles in a triangle always add up to exactly 180 degrees.  To see if this can be a triangle, add up the given angle measures.  If the sum is not 180, then it cannot be a triangle.

140+43+7=190

A triangle CANNOT have the angles measures as 140, 43, and 7.

Hope this helps!!

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A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
Zinaida [17]

Answer:

L  =  23 in

h  = 46  in

Step-by-step explanation:

Let call  " x "  and  " y "  dimensions of the print area of the poster then:

882 = x*y  and   y = 882/x

We also know that dimensions of the poster is:

L  =  x + 2   in  and     h  =  y + 4 in

Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )  And area as function of x is:

A(x)  =   ( x + 2 ) * ( 882/x + 4 )

A(x)  =  882 + 4*x + 1764 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4  - 1764/x²

A´(x)  = 0      ⇒      4  - 1764/x² = 0      ⇒ 4*x² - 1764  =  0

x²  =  1764 / 4

x²  = 441

x  = 21 in      and    y  =  882/x         y  = 42

The second derivative  A´´(x)  is > 0  ( the second term changes its sign to +) there is a minimum for the function at the point      x = 21

As x   and  y are dimensions of the printing area of the poster, dimensions of the poster  are

L  = x  +  2   =   21  + 2  =  23 in   and

h = y  +  4   =   42  + 4  =  46  in

4 0
3 years ago
Somebody please help im giving 20 points and a brainliest !
rosijanka [135]

Answer:

Initial is $26000

It's representing decay.

9.1% change each year.

7 0
2 years ago
Can someone please help me? I don't understand how to solve this.
Scilla [17]

Answer:

  (5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

  Mx = (x1 +x)/2

  My = (y1 +y)/2

__

Solving these equations for x and y, you get ...

  2Mx = x1 +x

  x = 2Mx -x1

Similarly, ...

  2My = y1 +y

  y = 2My -y1

__

Filling in the given coordinates, this becomes ...

  x = 2(-2) -(-9) = -4 +9 = 5

  y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

<em>Additional comment</em>

I like to write the midpoint formula for points A and B as ...

  M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

  B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

3 0
2 years ago
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
nadezda [96]
The answer is between $175 and $295. The standard deviation rule tells us that for distributions that have the normal shape, approximately 99.7% of the observations fall within 3 standard deviations of the mean. Indeed, 175 = 235 − 3 * 20 and 295 = 235 + 3 * 20 are exactly 3 standard deviations below and above the mean, respectively.
4 0
3 years ago
Jer saw 91 squirrels and 1⁄3 as many chipmunks. Which of the following is a good estimation of how many more squirrels he saw th
boyakko [2]
60 more squirrels is the answer because sine its an estimate, 91 turns into 90
therefore u have 
90 squirrels and 1/3 as many chipmunks
1/3 of 90 is 30
90 - 30 = 60
Your answer is 60 more squirrels

8 0
3 years ago
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