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Triss [41]
2 years ago
8

To the nearest hundredth, what is the value of x? 36.08 41.51 47.81 72.88

Mathematics
1 answer:
Crazy boy [7]2 years ago
5 0

Answer:

B

Step-by-step explanation:

Using the law of sines, we can make a proportion.

But first, we'll need to solve for the unknown angle.

We add up the two known angles and subtract that by 180.

90 + 41 = 131

180 - 131 = 49

So the unknown angles is 49.

Then, we can use the law of sines.

Make the equation.

sin(90)/55 = sin(49)/x

Simplify this using a calculator and you get around 41.51 or option B.

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A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the
barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

AD^{2} +BD^{2} =AC^{2}

(AD)^{2} +(30)^{2} =60^{2}

(AD)^{2} =60^{2}-(30)^{2}

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0
3 years ago
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explai
ryzh [129]

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

<h3>Is the triangle a right triangle?</h3>

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

7 0
1 year ago
What is the value of the expression 9+n/3-6 when n is 12?
Nina [5.8K]
-7 (9+12/3-6)=21/-3=-7
4 0
3 years ago
Read 2 more answers
Plz help!!
garri49 [273]

Answer:

150 ft^3

.1 ton or 200 lbs

Step-by-step explanation:

The volume is given by

V = l*w*h

V  = 5*5*6

V = 150 ft^3

To find how much 1 ft^3 weighed take the weight and divide by the volume

15 tons / 150 ft^3

.1 ton / 1 ft^3

1 ft^3  weights .1 ton

We know that 1 ton = 2000 pounds

.1 ton = 200 pounds

4 0
3 years ago
Read 2 more answers
Perform the following translations on the giving figures.
Kazeer [188]

Answer:

(-3, +4)Q

(+4, +4)R

(+3, -4)T

(-4, -4)S

3 0
2 years ago
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