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adelina 88 [10]
3 years ago
7

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

Mathematics
2 answers:
QveST [7]3 years ago
5 0

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=\sqrt{\frac{25}{2}}

x=\bold{\frac{5\sqrt{2}}{2}}

Maksim231197 [3]3 years ago
4 0

Answer:

\frac{5\sqrt{2} }{2}

Step-by-step explanation:

Divide 5 by \sqrt{2} , then rationalize denominator

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jeyben [28]
(4x3+2x+6)+(2x3-x2+2)

Final result :

6x3 - x2 + 2x + 8
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((4•(x3))+2x)+6)+((2x3-x2)+2)
Step 2 :

Equation at the end of step 2 :

((22x3 + 2x) + 6) + (2x3 - x2 + 2)
Step 3 :

Checking for a perfect cube :

3.1 6x3-x2+2x+8 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 6x3-x2+2x+8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 2x+8
Group 2: 6x3-x2

Pull out from each group separately :

Group 1: (x+4) • (2)
Group 2: (6x-1) • (x2)
5 0
3 years ago
If your good in math please help me
Feliz [49]

Answer:

350.82

Step-by-step explanation:

To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.

The rectangle's area (lw):

7.21*14=100.94

The triangle's area (\frac{1}{2}bh):

\frac{1}{2} (6)(8)

\frac{1}{2} (48)=24

Now add up all the sides. (3 Rectangles, 2 Triangles.)

100.94 + 100.94 + 100.94 + 24 + 24

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The total surface area is 350.82 cm squared.

6 0
3 years ago
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Dmitry [639]
3r+1w=5
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System of equations :)
3 0
3 years ago
Find the measure of
Furkat [3]

Answer:

B. 30

Step-by-step explanation:

3x + 2x + x = 180 (angle sum of a triangle is 180)

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6 0
2 years ago
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Need help!! I can't figure this out
Sidana [21]

9514 1404 393

Answer:

  12. $1,035,057.23

  13. $988,881.23

  14. $7,762.93

  15. $8,686.16

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Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

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14. The amount available in perpetuity is the monthly interest on this account balance.

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15. The monthly amount available for 25 years is found from the amortization formula:

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16. The amortization formula is used for this, too.

  8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

  P = $8066/0.00833568 = $967,647.66

7 0
3 years ago
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