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inn [45]
2 years ago
8

Find the length of side X in simplest radical form with a rational denominator. X

Mathematics
1 answer:
german2 years ago
7 0

Answer:

given in the figure an isosceles right triangle

hence

x = √3

  • √3 is a <u>surd</u> it can't be simplified further
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Andrea has a savings account with $80 that earns 2% interest per
lianna [129]

Answer:

After 10 years, she will has $96 in her bank.

Step-by-step explanation:

It is given that Andrea's saving account is $80 and earns 2% interest per year as a <em>S</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em>(Not Compounded). Using simple interest formula, Interest = (P×R×T)/100 where <em>P</em> is the <em>principal</em>, <em>R</em> is the <em>interest rate</em> and <em>T</em> is <em>number of years</em><em> </em>:

I =  \frac{p \times r \times t}{100}

P = $80

R = 2%

T = 10 years

I =  \frac{80 \times 2 \times 10}{100}

I =  \frac{1600}{100}

I = 16

It is given that the interest amount is $16. So the total amount she has after 10 years in the bank is $96 :

interest amount = $16

principal = $80

total = $16 + $80

= $96

8 0
3 years ago
HELP ASAP George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and extends
enyata [817]
The pool has a diameter 20 ft so:  r = 10 ft.
The pool cover extents 12 inches beyond the edge of the pool. 
12 inches = 1 foot
Therefore, the radius of the pool cover is : r = 10 + 1 = 11 ft.
a. The area of the pool cover:
A = r² π = 11² π = 121 π ft²
b.  The length of the rope:
l = 2 r π = 2 · 11 π = 22 π ft.
3 0
3 years ago
The factored form of a quadratic equation is y=(2x+1)(x-5), and the standard form is y=2x²-9x-5. Which of the following statemen
podryga [215]

x1= -5 x2=0.5 y= -5

the answer is b as the minuses can be interchanged for the x intercepts

Step-by-step explanation:

As you can see as explained in the pictures

7 0
3 years ago
The points (4, 9) and (0, 0) fall on a particular line. What is its equation in slope-intercept form?
Nikolay [14]

Answer:

The equation of the line would be y = 4/9x

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (9 - 0)/(4 - 0)

m = 9/4

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 0 = 4/9(x - 0)

y = 4/9x

5 0
3 years ago
A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.
liraira [26]
You didn't give the fourth zero, but the answer is still false. If you have a root or an imaginary number as a zero, then its conjugate is also a zero. So if 8i is a zero, then -8i must also be a zero, and if 4i is a zero, then -4i must be a zero, with those zeros and -4, the number of zeroes exceeds the number of zeroes that a fourth degree polynomial can have.
4 0
3 years ago
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