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3 years ago

Given the triangle below, what is m triangleA, rounded to the nearest tenth?

Mathematics

2 answers:

Neko [114]3 years ago

8 0

Answer:

The correct answer is option A 17.8°

Step-by-step explanation:

From the figure attached with this answer,

We can see a perpendicular from B to side AC

<u>To find BD</u>

In triangle BDC, its angles are 30°, 60° and 90°

Therefore the sides are in the ratio 1 :√3 : 2

Here BC = 11

BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11

Therefore BD = 11/2

<u>To find the value of m<A</u>

We have

Sin ∅ = Opposite side /Hypotenuse

AB = 18 and BD = 11/2

Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055

m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°

Therefore the correct answer is option A 17.8°

Valentin [98]3 years ago

5 0

Answer:

B because it is close to 30

Step-by-step explanation:

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For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? (2 points)

Irina-Kira [14]

The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

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If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.

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2 years ago

True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = $\pi r\times l$ , where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$ .

Also, Lateral surface area of cylinder is $2\pi r\times h$ , where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.

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3 years ago

Given: sin(18m-12)=cos(7m+2), find the value of m.

V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

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3 years ago

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Elanso [62]

Answer:

(-3, -3)

Step-by-step explanation:

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3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

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1.) We know that x=-3, so we can simply substitute x in the equation

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Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

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3 years ago

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iVinArrow [24]

It’s probably most definitely the third one but I really don’t know.

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2 years ago