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natali 33 [55]
2 years ago
8

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

h.​

Mathematics
1 answer:
nalin [4]2 years ago
4 0

Answer:

The last one (x=11.3, y=8).

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use sin()=\frac{opposite}{hypotenuse}.

sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31

Find y.

Notice that, we can use the Pythagorean Theorem (c^2=a^2+b^2) to find y.

c^2=a^2+b^2

11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99

3) Round them off to the nearest tenth.

x=11.31\\x=11.3

y=7.99\\y=8

Therefore, the correct choice is the last one (x=11.3, y=8).

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sleet_krkn [62]
<h3>Answer: Choice A) 1/7, 3/7, 4/7, 6/7</h3>

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Explanation:

All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.

  • Choice A has numerators 1,3,4,6 in that order from left to right. This is in increasing order (ie smallest to largest), so this is why choice A is the answer.
  • Choice B has the numerators 6,4,3,1 in that order. This is from largest to smallest, which is the complete opposite of what we want. Choice B is incorrect.
  • Choice C has numerators 1,6,4,3 which is in neither order. Rule this out as well.
  • Choice D has numerators 3,4,1,6 and we can rule it out for similar reasoning as choice C.

If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.

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Hilary bought two new books for $5.25 each and three used books for $2.50 each. Shipping costs $5.00 total for the first two ite
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Step-by-step explanation:

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3 years ago
Evaluate the expression:<br><br> 2/3-1/4+(-5/6)
Aliun [14]

Answer:

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\\  =  \frac{2}{3}  -  \frac{1}{4}  -  \frac{5}{6}

\\  =  \frac{8 - 3 - 10}{12}

\\  =  \frac{8 - 13}{12}

\\  =  \frac{ - 5}{12}

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John Simone is buying a used car for a total cost of $11,805.00. He’s making a down payment of $1,500.00 and borrowing the remai
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Answer:

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Down payment = 1500

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For 3 years rate of interest should be 12.2%

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A pack of 6 cans of pop costs £1.80. A pack of 10 cans of pop costs £3.50.
Lelechka [254]

Let us look at the cost per can of both packs.

Cost of can in 6-pack = 1.80/6

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