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kifflom [539]
3 years ago
6

Find a simplified expression to represent the area of the triangle. The area formula for a triangle is bh, where b is the base a

nd h is the height.
A triangle where the height of the triangle is labeled (2 x + 12) centimeters, the base is labeled (4 x minus 2) centimeters, and the hypotenuse is blank.

The expression that represents the area of this triangle is x2 + x + cm2.
Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

Answer:4x^2+22x-12

Step-by-step explanation:

height=(2x+12)

base=(4x-2)

Area of =(base x height)/2

Area of =((4x-2)(2x+12))/2

Area of =(8x^2+48x-4x-24)/2

Area of =(8x^2+44x-24)/2

Area of =4x^2+22x-12

saw5 [17]3 years ago
3 0

Answer:

4x^{2} +22x-12 is the correct answer, so put in 4, 22, -12

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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.
svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11



Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.


My first reaction to this problem was to factor 176 in my head. That's  176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176                 =>

n^2 + 5n - 176 = 0       => use the quadratic formula


n =     ( -5 +\- sqrt( 5^2 - 4(1)(-176)) )  /2

 =     ( -5 +\- sqrt( 25 +  704) )/ 2

=     ( -5 +\- sqrt (729) ) /2                            => as sqrt(729) = 27

=      (-5 +\- 27) / 2                                        =>

=      (-5 + 27)/2 or ( -5 -27)/2                      =>

=      22/2  or  -32/2                                     =>

=      11 or  -16


But -16 is not allowed as the question wants a positive value.



Thank you,

MrB

4 0
3 years ago
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Sheena was organizing items in a scrapbook she took 25 photos and divided them evenly between p pages which algebraic expression
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P divided by 25 that depends on how many pages there are on her scrapbook
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3 years ago
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Add. 56+234 Enter the sum in the box as a mixed number in the simplest form.
Kobotan [32]

Answer:

290

Step-by-step explanation:

First, add two digit number from them.

50 + 30 = 80

Second, add the last two numbers.

6 + 4 = 10

So, add these two results.

80 + 10 = 90

Final, all of theses results are added to three digit number of second number.

So, final result is

200 + 90 = 290

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3 years ago
Find the domain of f(x) = x+5/ 2-x
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I don’t know I am stuck on thisss
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2 years ago
Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma
Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with \mu = 112 inches and \sigma = 14 inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - \mu = 112 inches

Standard deviation - \sigma = 14 inches

The z-score formula is given by, Z=\frac{x-\mu}{\sigma}

Now,

P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})

P(X>140)=P(Z>\frac{140-112}{14})

P(X>140)=P(Z>\frac{28}{14})

P(X>140)=P(Z>2)

P(X>140)=1-P(Z

The Z-score value we get is from the Z-table,

P(X>140)=1-0.9772

P(X>140)=0.0228

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0
3 years ago
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