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2 years ago

William and Shana plan to stain the concrete surface of their square-shaped driveway and of their patio.

1 answer:

4 0

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Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3

xxMikexx [17]

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

$\frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$= \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} }$

$= \frac{ {( \sqrt{5} + \sqrt{3} ) }^{2} }{( \sqrt{5} - \sqrt{3} )( \sqrt{5} + \sqrt{3}) }$

$= \frac{ {( \sqrt{5} )}^{2} + 2( \sqrt{5} )( \sqrt{3}) + {( \sqrt{3}) }^{2} }{ {( \sqrt{5}) }^{2} - { (\sqrt{3} )}^{2} }$

$= \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}$

$= \frac{8 + 2 \sqrt{15} }{2}$

$= 4 + \sqrt{15}$

3 0

2 years ago

For a magic trick , Ashley has a classmate pick one card from a standard deck of cards . what is the probability of Ashley 's cl

Ludmilka [50]

Answer:

1/4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What does the word "of" mean? <br>A. in addition to<br>B. multiply by<br>C. divided by

Natali [406]

Answer:

B. multiply by

5 0

2 years ago

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

$\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}$

substitute the given values

$\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}$

$0.67=0.67=0.67$ ----- is true

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0

2 years ago

What is the factors of 10

Sedbober [7]

Answer: 1, 2, 5, and 10

Step-by-step explanation: To find the factors of 10, begin by dividing 10 by 1 which gives us 10. This tells us that 1 and 10 are factors of 10. Next, divide 10 by 2 which gives us 5. This tells us that 2 and 5 are also factors of 10. Next, divide 10 by 3. Notice that 10 doesn't divide evenly by 3 so 3 is not a factor of 10. Next, divide 10 by 4. Since 10 doesn't divide evenly by 4, then 4 is not a factor of 10. Next, divide 10 by 5 which gives us 2. This tells us that 5 and 2 are factors of 10 but notice that we already know that 5 and 2 are factors of 10. This means that 5 and 2 are repeat factors.

There is no need to repeat factors that we already know. In fact, as we are writing the factors of a number, it's important to understand that once we hit repeat factors, all other factors that we try will also repeat.

So here, dividing by anything greater than 5 will give us factors that we already know so we can stop here.

This means that the factors of 10 are 1, 2, 5, and 10.

3 0

3 years ago