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galben [10]
3 years ago
8

2,76 5. Rationalize the denominator of the following: 2 root 6 divided by root 2 + root 3

Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

6 √2 -4 √3

Step-by-step explanation:

Here, we want to rationalize the denominator of the following surdic fraction;

2√6/(√2 + √3)

To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator

The conjugate of the denominator is √2 - √3

So, we have the rationalization as follows;

2 √6(√2-√3)/(√2 + √3)(√2-√3)

Thus, we have

(4√3-6 √2)/(-1)

= 6 √2 -4 √3

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This is gonna be the death of me
kykrilka [37]
Hey!
So you have a net of the figure. It's broken into several 2D shapes. What you an do it find the area of each shape and add it together.
Triangles: 
A = (b*h)/2
A= (5 * 3) / 2
A = 15/2
same thing for the second one
15/2 * 2 = 15
Don't forget, there are 2 triangles so it's really 15 for both

Rectangles:
A=b*h
A= 7*5
A=35

A=7*5
A=35

A=3*7
A=21

35+35+21=91

Now add the sum of the area of the triangles and the sum of the area of the rectangles

91+15 = 106

106 is the surface area
Hope this helps!
5 0
3 years ago
A toy shop purchases 125 identical stuffed animals for a total cost of $312.50 and sells them for $7 each. What is the percent m
Andrew [12]
23% is maybe the percentage but if not then it maybe a little higher or lower
5 0
3 years ago
Read 2 more answers
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
The length of a pen is 5 more than its width.The perimeter is 26 m.Find the length and the width.
meriva
P=2l+2w

Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.

26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4

Thus the width is 4m. Let's find the length.

l=w+5
l=4+5
l=9

The length of a pen is 9m.
4 0
3 years ago
Read 2 more answers
24. A total of 540 beads are shared in the ratio 4:5. The LARGER share of beads is
ra1l [238]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
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