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2 years ago

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

Mathematics

1 answer:

NeTakaya2 years ago

5 0

Answer:

$x = 2 \sqrt{5}$

Step-by-step explanation:

$\sin \: 30 \degree = \frac{ \sqrt{5} }{x} \\ \\ \frac{1}{2} = \frac{ \sqrt{5} }{x} \\ \\x = 2 \sqrt{5}$

You might be interested in

1)Which statement is true about the line passing through points A and B?

Studentka2010 [4]

Part 1:
The statement that is true about the line passing through points A and B is
The line has infinitely many points.

Beacause of the arrows at the endpoints, the line does not have a finite length that can be measured.

Any segment with at least two points has infinitely many points, because, intuitively, given any two distinct points, there is a third one, distinct from both of them, say, the middle point.
Thus, there are not only two points on the entire line.

The line can be called AB or BA, so there is not only one way to name the line.


Part 2:
Line FM can also be named line MF.
Therefore, the correct name for line FM is line MF.

4 0

2 years ago

Read 2 more answers

A gardener is planting two types of trees:

lara [203]

It will take exactly 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

Type A is 3 feet tall and grows at a rate of 7 inches per year
Type B is 5 feet tall and grows at a rate of 1 inches per year

We need to find in how many years it will take for these trees to be the

same height

Assume that it will take x years for these trees to be the same height

The height of a tree = initial height + rate of grow × number of years

Type A:

∵ The initial height = 3 feet

∵ 1 foot = 12 inches

∴ The initial height = 3 × 12 = 36 inches

∵ The rate of grows = 7 inches per year

∵ The number of year = x

∴ $h_{A}$ = 36 + (7) x

∴ $h_{A}$ = 36 + 7 x

Type B:

∵ The initial height = 5 feet

∴ The initial height = 5 × 12 = 60 inches

∵ The rate of grows = 1 inches per year

∵ The number of year = x

∴ $h_{B}$ = 60 + (1) x

∴ $h_{B}$ = 60 + x

Equate $h_{A}$ and $h_{B}$

∴ 36 + 7 x = 60 + x

- Subtract x from both sides

∴ 36 + 6 x = 60

- Subtract 36 from both sides

∴ 6 x = 24

- Divide both sides by 6

∴ x = 4

∴ The two trees will be in the same height in 4 years

It will take exactly 4 years for these trees to be the same height

Learn more:

You can learn more about the rate in brainly.com/question/10712420

#LearnwithBrainly

3 0

3 years ago

How would I do this with working ?

san4es73 [151]

You Just want to get Fahrenheit alone on one side of the equal sign. Your teacher forgot to use parenthesis. The correct equation for Celsius to Fahrenheit is: $C= \frac{5}{9} (F-32)$

Which will give you a completely different answer.... $F = \frac{9}{5} C + 32$

****

We will solve it using what is given:

C = (5/9)F - 32

C + 32 = (5/9)F

9(C + 32) = 5F

(9/5)(C + 32) = F

** If they mark you wrong, and try to say the answer is F = (9/5)C + 32 then they shouldn't be teaching math, and you should point out the fact there are no parenthesis around the F - 32 in the given formula.

5 0

2 years ago

Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number

Damm [24]

Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters