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Wewaii [24]
3 years ago
13

Calculate the value of x in each case​

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Exact answer: x = \frac{\sqrt{601}}{2}\\\\

Approximate answer: x \approx 12.2577

====================================================

How to find the answer:

Focus on the largest triangle. It appears to be a right triangle. If so, then we can use the pythagorean theorem to get the following:

a^2 + b^2 = c^2\\\\a^2 + 12^2 = 13^2\\\\a^2 + 144 = 169\\\\a^2 = 169 - 144\\\\a^2 = 25\\\\a = \sqrt{25}\\\\a = 5

The horizontal leg of the largest right triangle is 5 units long.

The identical single tickmarks tell us that the horizontal leg is cut into two smaller pieces of equal length.

Each smaller piece is 5/2 = 2.5 units long.

------------------------------

Now focus on the smaller skinny right triangle with legs a = 2.5, b = 12 and hypotenuse c = x.

Use the pythagorean theorem again to find the hypotenuse x.

2.5^2 + 12^2 = c^2\\\\6.25 + 144 = x^2\\\\150.25 = x^2\\\\x^2 = 150.25\\\\x = \sqrt{150.25}\\\\x = \sqrt{\frac{601}{4}}\\\\x = \frac{\sqrt{601}}{\sqrt{4}}\\\\x = \frac{\sqrt{601}}{2}\\\\x \approx 12.2577

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Hope I helped :)

8 0
3 years ago
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Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The m
DaniilM [7]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

y = -x^2 + 10x - 8

Required

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To do this, we set y = 0

So, we have:

-x^2 + 10x - 8 = 0

Multiply through by -1

x^2 -10x + 8 = 0

Solve using quadratic formula:

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a = 1; b =-10; c = 8

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x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}

x= \frac{-(-10) \± \sqrt{68}}{2*1}

x= \frac{-(-10) \± 8.25}{2}

x= \frac{10 \± 8.25}{2}

Solve the fraction

x= 5 \± 4.125

Split

x= 5 + 4.125\ or\ x= 5 - 4.125

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7 0
3 years ago
Emily baked 3 batches of sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighb
Vikentia [17]

Answer:

The answer is 198.

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First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.

7 0
3 years ago
PLZ HELP ME! 100 points for person who answers quickly!
Advocard [28]

(-1.15)x3.2=

-3.68

Alright so I got -3.68 by multiplying -1.15x3.2. We get a negative number since the first number is negative.

3 0
2 years ago
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