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kicyunya [14]
3 years ago
13

5+2 root 3 / 7+4 root 3 =a-6root3

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

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Answer:

folder is $3 binder is $4

Step-by-step explanation:

Let folder be x and binders be y

Marcos

20x+10y= 100----------1

Alicia

10x+20y= 110-------------2

solve 1 and 2

20x+10y= 100 X 1

10x+20y= 110 X 2

20x+10y= 100

-20x+40y= 220

        -30y= -120

y= 120/30

y= 4

put y= 4 in 1

20x+10y= 100

20x+10(4)= 100

20x+40=100

20x=100-40

20x=60

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4 0
2 years ago
Angie borrowed $1,485 from the bank to purchase a new laptop for the veterinarian’s assistant. The interest on the loan was 7.75
zmey [24]

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3 0
3 years ago
Read 2 more answers
Find the area of the composite figure
nordsb [41]

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162 in

Step-by-step explanation:

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5 0
3 years ago
Gary surveys all of his classmates for a project.
postnew [5]

Answer:

A and D

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Statisical questions have to deal with numbers

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3 years ago
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Determine the volume of the rectangular prism.<br>​
Flauer [41]

Answer:

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Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2\frac{1}{2} and the height is 2\frac{1}{2}

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Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2\frac{1}{2} = 20

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Now we get 50. Before we put our answer as 50, there are two more steps.

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We also need to add ³ since it is volume

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