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kotykmax [81]
2 years ago
12

What is the value of x?

Mathematics
1 answer:
REY [17]2 years ago
5 0

Answer:

The missing side has a length equal to 15\sqrt{3}

Step-by-step explanation:

We need to find the length of the missing side on the right triangle. We were given the length of the hypotenuse, and the opposite cathetus, therefore we can use the sine relation. This is done below:

sin60=\frac{x}{30}\\\frac{\sqrt{3}}{2}=\frac{x}{30}\\x=15\sqrt{3}

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Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a sc
svetlana [45]

Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

  • 'l' is the length
  • 'w' is the width

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

    = 2P      ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

4 0
3 years ago
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chubhunter [2.5K]
If you separate the triangles, you'll notice that both are literally the same triangle because all angles are the same.
8 0
3 years ago
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Thirty adults were asked which of the following conveniences they would find most difficult to do without: television, refrigera
Brut [27]

Answer:

(D) Pie chart

Step-by-step explanation:

The most appropriate method to represent the resulting data is the pie chart. This is because, in this sample, the variables are few and of nominal type.

Of the rest of the options, the only other that could be used is the histogram, since it can represent nominal variables with their corresponding frequency. The rest of the options have other uses not appropriate for this type of sample.

3 0
2 years ago
Find three ways that you can make the sum of 7/4
aliya0001 [1]

Answer:

<em>1. use fractions </em>

3/4+4/4= 7/4

<em>2. use decimals</em>

0.75+1.00= 7/4

<em>3. find equivalent fractions</em>

3/4= 75/100

4/4= 100/100

75/100+100/100= 175/100

6 0
3 years ago
Solve. 3(2w-7)=3<br> What is W?
almond37 [142]
- - Solve:

Start of by simplifying both sides of your problem.

3*2x+3*-7=32

6w+-21=3

6w-21=3

- - Now you need to add 21 to both sides to be able to finish solving.

6w-21+21=3+21

6w=34

- - Final step:

\frac{6w}{6} = \frac{24}{6}

Answer: w=4



8 0
2 years ago
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