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2 years ago

Find X, round your answer to the nearest tenth of a degree.

Mathematics

2 answers:

murzikaleks [220]2 years ago

6 0

Answer:

Step-by-step explanation:

$\text{Use sine}=\dfrac{opposite}{hypotenuse}\\\\\text{We have}\ opposite=7,\ hypotenuse=12.\\\\\text{Substitute:}\\\\\sin x=\dfrac{7}{12}\approx0.5833\\\\x\approx35.7^o\\\\/look\ at\ the\ table\ in\ the\ attachment/$

Svet_ta [14]2 years ago

3 0

Answer: X = 35.7° (approximately)

Step-by-step explanation: What we have here is a right angled triangle with two sides given. That means we can apply trigonometrical ratios to calculate any of the angles as well as the unknown side of the triangle.

The unknown angle, X shall be the reference angle in this particular question. The side that lies between the right angle and the reference angle is the adjacent, while the one facing the reference angle is the opposite. So we have the hypotenuse already, that is, the longest side, (or the side facing the right angle).

Since we have been given the opposite side (7 units) and the hypotenuse (12 units) we can conveniently apply the sine ratio, which is

Sin X = opposite/hypotenuse

Sin X = 7/12

Sin X = 0.5833

By checking with your table of values, or by using your calculator, we can now find the value of 0.5833

X = 35.65

Rounded off to the nearest tenth of a degree,

X = 35.7°

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In un trapezio rettangolo la base minore, il lato obliquo e l'altezza misurano rispettivamente 60 cm. 95 cm è 76 cm. Calcola il

KengaRu [80]

Answer:

$2p=348 cm\: S=6726 cm^{2}$

Step-by-step explanation:

Ciao, come stai?

1) Per prima cosa, dobbiamo trovare la misura della base più grande. Scomponendo la figura possiamo visualizzare un triangolo e un quadrato. Ci sono somiglianze con gli angoli. Quindi è un triangolo rettangolo. Applichiamo il teorema di Pitagora:

$a^2=b^2+c^2\\95^2=b^2+76^2\\57=b$

2) Perimetro:

$2p=60+57+76+60+95\\2p=348 cm$

3) L' area

$\frac{(B+b)h}{2} =\frac{(117+60)76}{2} =6726 \:cm^{2}$

8 0

3 years ago

How many solutions exist for the given equation? StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x

Firlakuza [10]

Answer:

One solution x = 2

Step-by-step explanation:

Given the equation:

$\dfrac{1}{2}(x+12)=4x-1$

Multiply this equation by 2:

$2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)$

Use distributive property:

$x+12=8x-2$

Combine the like terms:

$x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2$

Thus, this equation has one solution x = 2

7 0

3 years ago

Read 3 more answers

Subtract: (4n + 7) - (7n - 8)

Furkat [3]

4n+7−(7n−8)

=4n+7+−1(7n−8)

=4n+7+−1(7n)+(−1)(−8)

=4n+7+−7n+8

Combine Like Terms

=4n+7+−7n+8

=(4n+−7n)+(7+8)

=−3n+15

4 0

2 years ago

Does 10,15,20 form a right triangle

sveta [45]

A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.

We will use 10 for a, 15 for b, and 20 for c.

a^2 + b^2 = c^2

Plug in 10 for a, 15 for b, and 20 for c.

10^2 + 15^2 = 20^2

10^2 = 100

15^2 = 225

20^2 = 400

100 + 225 = 400
This is not applicable, as 100 + 225 = 325.

Your answer is:

No, 10,15,20 does not form a right triangle.

I hope this helps!

5 0

3 years ago

Tyler brother works in a shoe store and the store brought a pair of shoes for $50 and sold it for $80 what percentage was the ma

Free_Kalibri [48]

Answer:

$60.

Step-by-step explanation:

Cost price= $50

Selling price = $80

Percentage markup = Gain/Cost price x 100%

=30/50x100

=$60.

7 0

2 years ago

Find X, round your answer to the nearest tenth of a degree.​

Find X, round your answer to the nearest tenth of a degree.