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3 years ago

21 over root 6 rationalised

Mathematics

2 answers:

Mkey [24]3 years ago

8 0

Answer:

$\frac{7\sqrt{6}}{2}$

Step-by-step explanation:

To rationalize the denominator, all you have to do is multiply the top and bottom by √6:

$\frac{21}{\sqrt{6}}\cdot\frac{\sqrt{6}}{\sqrt{6}} = \frac{21\sqrt{6}}{6}$

You can further simplify by dividing the top and bottom by 3:

$\frac{7\sqrt{6}}{2}$

I hope this helped.

valentina_108 [34]3 years ago

3 0

Answer:

Step-by-step explanation:

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Solar panels installed in a backyard have a cross section that is a right triangle. The diagram shows the approximate dimensions

Citrus2011 [14]

Answer:

About 4.2 ft

Explanation:

The area of the traingle can be calculated in two ways.

$A=\frac{1}{2}\text{width}\cdot\text{length}$

where width = 4.4 ft and length = 13.6 ft.

Putting in the values for width and length gives

$\begin{gathered} A=\frac{1}{2}13.6\cdot4.4_{} \\ \boxed{A=29.92ft^2} \end{gathered}$

The other way that the area can be calculated is

$A=\frac{1}{2}\cdot\text{height}\cdot\text{base}$

where height = vertical length and base = 14.3 ft; therefore.

$\begin{gathered} A=\frac{1}{2}14.3h \\ A=7.15h \end{gathered}$

This must equal the area of the triangle we found above; therefore,

$A=29.92=7.15h$ $29.92=7.15h$

dividing both sides by 7.15 gives

$h=\frac{29.92}{7.15}$ $\boxed{h\approx4.2ft}$

which is our answer!

7 0

1 year ago

1/3+1/4 IN FRACTION FORM

Karo-lina-s [1.5K]

Answer:

7/12

Step-by-step explanation:

Plz mark brainliest :D

6 0

3 years ago

Read 2 more answers

Help please!!

nekit [7.7K]

Answer:

Principal is $1000

Step-by-step explanation:

• From the formular of simple interest:

$s.i = principal \times rate \times time$

• substitute and find the principal:

$100 = p \times \frac{2}{100} \times 5 \\ \\ 0.1p = 100 \\ \\ = { \underline{ \: \:1000 \: \: dollars \: \: }}$

3 0

3 years ago

which of the following best describes the algebraic expression x/14-3?a. A number divided by fourteen minus threeb. Fourteen div

almond37 [142]

The answer is a. A number divided by fourteen minus three

4 0

4 years ago

Please help me with number 9! (Math)

Andrej [43]

Hi

I belive you add the top side (4) plus the bottom side (9.5) witch would equal 13.5 times the hieght (3) equals 40.5 divided by 2 equals 20.25. the area is 20.25ft squared

another way to do it
4+9.5= 13.5
13.5×3= 40.5
40.5÷2= 20.25ft

8 0

4 years ago