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Vera_Pavlovna [14]
3 years ago
5

Find the measure of each angle indicated.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
Hello!

As you can see, the angles we are given are supplementary. In other words, their sum is 180°. We can just subtract 86 and get the value of the other.

180-86=94

Therefore, ?=94°

I hope this helps!
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Polynomial division<br>(4x^2 +7x +6) ÷(x+ 2)​
jolli1 [7]

Answer:

4x2 + 7x - 6

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    x - 2

Step-by-step explanation:

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What is the value of the logarithm?
sweet-ann [11.9K]

Answer:

3.9512

Step-by-step explanation:

You can find the answer by simply putting the value of natural log in a calculator.

ln (52) = 3.951243719

ln (52) = 3.9512 (rounding to nearest 10000th)

Which is the value of natural log of 52 rounded to the nearest ten thousandth

__________________________________________________________

<em>Note: To round off, we will see the number after the 10000th is greater than 5 or not, since the number is 4 and it is less than 5 so we will not raise the 10000th number which is 2</em>

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3 years ago
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Frank wants to build a garden with the dimensions below.
dexar [7]
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
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91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
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7 0
3 years ago
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Ilya [14]

Answer:

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Step-by-step explanation:

For this case we have the following data given:

2.3 3.1 2.8

1.7 0.9 4.0

2.1 1.2 3.6

0.2 2.4 3.2

Since the data are assumedn normally distributed we can find the standard deviation with the following formula:

\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And we need to find the mean first with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29

And then we can calculate the deviation and we got:

s=1.09

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3 years ago
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Sveta_85 [38]

Answer:

x = 24

Step-by-step explanation:

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x = 24

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