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Paha777 [63]
3 years ago
6

Based on the given information, what is the measure of the missing length, c?

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

c=5\ units

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

AC^{2}=AB^{2}+BC^{2}

substitute the given values

13^{2}=c^{2}+12^{2}

Solve for c

169=c^{2}+144

c^{2}=169-144

c^{2}=25

c=5\ units

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Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

                          = $75,000 - $15,600 - $12,200

                          = $47,200.

Thus the taxable income is $47,200.

8 0
3 years ago
Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
attashe74 [19]
I think that would be  a rectangle with sides 13 and  8  Which =  104 ins^2
7 0
3 years ago
Read 2 more answers
Guys please help me !! ASAP !
jenyasd209 [6]
1. vertical
2. alternate interior
3. corresponding
4.corresponding
5. adjacent
4 0
3 years ago
Read 2 more answers
Please Help do anything for right answer
Zielflug [23.3K]

Answer:

x=-3

Step-by-step explanation:

can you plz help me with my most recent question

3 0
2 years ago
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