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Dimas [21]
3 years ago
5

45-45-90...find the value of x?

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

<h2>         x = 19</h2>

Step-by-step explanation:

If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2

x√2 = 19√2   ⇔  x = 19

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Ben makes $39,600 a year. What is the maximum amount he can afford for a'
Olin [163]

Answer:

B:825

Step-by-step explanation:

Hopes this helps:)

3 0
3 years ago
Find the sum and product of the roots. 2x^2 + 6x - 8 = 0
netineya [11]
Suppose you can factorize:

ax^2+bx+c=a(x-r_1)(x-r_2)

Then by expanding the right side, you have

ax^2+bx+c=a(x^2-(r_1+r_2)x+r_1r_2)=ax^2-a(r_1+r_2)x+ar_1r_2

which means in this case, you have to have

\begin{cases}6=-2(r_1+r_2)\\-8=2r_1r_2\end{cases}\implies\begin{cases}r_1+r_2=-3\\r_1r_2=-4\end{cases}
3 0
3 years ago
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq
Alik [6]

Answer:

see below:

Step-by-step explanation:

2y–6=0

a.  slope intercept form using y = mx + b

   y = 6/2

   y = 3

b.  slope: use the slope intercept form: y = mx + b

    slope = m = 0

c.  y-intercept = (0,3)

7 0
3 years ago
Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat
statuscvo [17]

Answer:

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Step-by-step explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = \left[\begin{array}{ccc}6\\4\end{array}\right] = 15.

Now the population mean is given by \frac{1}{n} × ∑ x , where n is the number of lottery tickets and ∑ x  is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by \frac{162}{6} = 27.

8 0
3 years ago
Simplify by expressing fractional exponents instead of radicals
igomit [66]

Answer:

a^{\frac{1}{2}}b^{\frac{1}{2}}

Step-by-step explanation:

Given:

The expression in radical form is given as:

\sqrt{ab}

We need to express this in fractional exponent form.

We know that,

\sqrt a=a^{\frac{1}{2}}

Also, \sqrt{ab}=\sqrt a\times \sqrt b

Now, clubbing both the properties of square root function, we can rewrite the given expression as:

\sqrt{ab}=\sqrt a \times \sqrt b\\\\\sqrt{ab}=a^{\frac{1}{2}}\times b^{\frac{1}{2}}\\\\\therefore \sqrt{ab}=a^{\frac{1}{2}}b^{\frac{1}{2}}

So, the given expression in fractional exponents form is a^{\frac{1}{2}}b^{\frac{1}{2}}.

3 0
3 years ago
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