What is the length of side x?

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

In a 30-60-90 triangle the side between 60 and 90 degree angle is a, the side between 30 and 90 degree angle is a√3, and the hypotenuse is 2*a.

Given that the side that is supposed to be a is currently √3, we know that the missing side x must be:

a√3 (We know that a, in this case, is √3, so substitute)

x = (√3) * (√3)

x = 3

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Andy is hanging wallpaper in his kitchen. He is able to cover 2 2/5 of the walls in the room using 6 rolls of wallpaper. What is

faltersainse [42]

Answer: The number of rolls of paper is $2\dfrac{1}{2}$ .

Step-by-step explanation: Given that Andy is hanging wallpaper in his kitchen. 6 rolls of wallpaper is used to cover $2\dfrac{2}{5}$ of the walls.

We are to find the number of rolls of paper used per wall.

We will be using unitary method to solve the given problem.

We have,

$2\dfrac{2}{5}=\dfrac{12}{5}.$

Now, number of rolls used to cover $\dfrac{12}{5}$ of the walls = 6.

Therefore, number of rolls used to cover 1 wall is given by

$\dfrac{6}{\frac{12}{5}}=\dfrac{5\times 6}{12}=\dfrac{5}{2}=2\dfrac{1}{2}.$

Thus, $2\dfrac{1}{2}$ rolls of paper used per wall.

3 0

3 years ago

Read 2 more answers

A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?

Sophie [7]

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

2/5 of tank : 2/3 hours

x of tank : 1 hour

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

Find out more at brainly.com/question/14336804.

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