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stealth61 [152]
3 years ago
5

Which set of values could be the side lengths of a 30-60-90 triangle

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

D. 6, 6\sqrt{3}, 12

Step-by-step explanation:

the Pythagorean Theorem states that a^{2} +b^{2} =c^{2}

so,

6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144

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Helpppppppppp<br> Urgenttttt<br> Pleaseeeee!
Alika [10]

Answer:

The first set is a set of linear equations.

The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.

A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.

The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.

The third set, both equations have exponents on the x, which means that the slope will change depending on x. This means that both of these are not linear equations.

The only set that is a linear set is the one that has only linear equations.

3 0
1 year ago
Which of the following describes the zeroes of the graph of f(x)= -x^5+9x^4-18x^3
Elina [12.6K]

Answer:

-x^5+9x^4-18x^3=0\\-x^3(x^2-9x+18)=0\\-x^3(x-3)(x-6)=0\\\\\\\\x=0\\x=3\\x=6

4 0
3 years ago
Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards
lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0
3 years ago
Read 2 more answers
Which rate should be used to convert 15 yards:1 feet per hour?
Lena [83]

Answer:

B.

Step-by-step explanation:

1 yard:3 feet.

8 0
3 years ago
Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he n
Rina8888 [55]

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

4 0
3 years ago
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