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never [62]
3 years ago
9

Find the value of x. Round the length to the nearest tenth.

Mathematics
2 answers:
levacccp [35]3 years ago
8 0

Answer:

A

Step-by-step explanation:

The angle on the right side of the triangle is 10° ( alternate angle )

Since the triangle is right with hypotenuse x use the sine ratio to solve for x

sin10° = \frac{opposite}{hypotenuse} = \frac{200}{x}

Multiply both sides by x

x × sin10° = 200 ( divide both sides by sin10° )

x = \frac{200}{sin10} ≈ 1, 151.8 m

Makovka662 [10]3 years ago
4 0

Answer:

The correct answer is first option

1151.8 m

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin ?  = Opposite side/Hypotenuse

Cos ? = Adjacent side/Hypotenuse

Tan ? = Opposite side/Adjacent side

<u>To find the value of x</u>

From the figure we can see a right angled triangle.

We can write,

Sin 10 = opposite side/Hypotenuse

 = 200/x

x = 200 * Sin 10

 =  200 / 0.1736

 = 1151.8

The correct answer is first option

1151.8 m

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
Harry cycles 8 kilometres in 30 minutes.<br> Calculate his average speed, in km/h
Lerok [7]
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The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. W
MaRussiya [10]
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Describe the steps you take to order 5/8(5 on top, 8 on bottom fraction), 0.8, 3/5(3 on top)
sergeinik [125]
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8 0
3 years ago
Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does w
OLga [1]

Answer: 1012 calories

Step-by-step explanation:

Shannon burns 46 calories each hour while sleeping.

When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:

= 11 × 46

= 506 calories

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= 1012 calories

The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

6 0
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