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Elanso [62]
3 years ago
15

Helppp!!! What is the value of y?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

y=2√3, or 3.46410161513

Step-by-step explanation:

The smaller triangle is a right isosceles triangle, so the other side is also √2. To figure out it’s hypotenuse, you can use the Pythagorean theorem.

√2²+√2²=c²

2+2=c²

4=c²

√4=c

c=2

Now that we know that value, we can look at the bigger triangle.  It is a 30-60-90 triangle, which has special properties.

Y would equal the two of the base times the square root of three.

y=2√3, or 3.46410161513

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A $50.00 pair of shoes is discounted 20%. If sales tax is 8%, what is the amount of tax paid?
sleet_krkn [62]
Since sales tax goes after the discount, it would be 3 dollars and 20 cents. Taking 50 dollars and 20% is discounted (50*.2), which would be 10 dollars taken off. It would be 40 dollars shoes and then you apply sales tax by multiplying 40 by .08, giving you the amount of tax paid.
6 0
3 years ago
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joel has 24 sports trophies. of the trophies, 1/8 are soccer trophies. how many soccer trophies does joel have?
hichkok12 [17]

Answer:

3 soccer trophies does Joel have

Step-by-step explanation:

As per the statement:

Joel has 24 sports trophies.

⇒Total sport trophies Joel have= 24

It is also given: of the trophies, 1/8 are soccer trophies

We have to find how many soccer trophies does Joel have.

\text{Joel have soccer trophies} =\frac{1}{8} \cdot 24

Simplify:

\text{Joel have soccer trophies} =3

Therefore, 3 soccer trophies does Joel have

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4 years ago
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Teresa is building a scale model of the JP Morgan chase Tower in Houston.In her scale model, 1.5 inches represents 61 meters. Si
Jet001 [13]

Answer:

Teresa should build 7.5 inches model.

Step-by-step explanation:

Consider the provided information.

Teresa is building a scale model of the JP Morgan chase Tower in Houston.

Her scale model, 1.5 inches represents 61 meters.

The actual building is 305 meters tall,

First find how many 61's are there in 305.

For this divide 305 by 61.

\frac{305}{61}= 5

Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.

multiply 1.5 with 5 gives us:

1.5\times 5=7.5

Hence, Teresa should build 7.5 inches model.

7 0
3 years ago
paris run 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 mile. About how far does paris
fiasKO [112]

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

2\pi r

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

2\pi (\frac{1}{4} )

Simplify

\frac{\pi }{2}

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

\frac{\pi }{2}*3.5

The answer is around 5.497787144 miles.


7 0
4 years ago
What is the solution to the system of linear equations graphed below?
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Answer:

the answer is A.) or (3 and one-half, negative 4)

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