Each side of a circumscribed equilateral triangle is 16 meters. find the radius if the circle​

Answer:

[tex]17\sqrt{3}[/tex]

Quiz Results:

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

Learn more about law of sines here:

https://brainly.com/question/17289163

Answer:

In my opinion No

Step-by-step explanation:

You are only given "X" SO what is "Y"?

Answer:

the number of red marbles ÷

the number of marbles

[tex] \frac{2}{18} = \frac{1}{9} [/tex]

Therefore the probability that they both select a red marble is 1/9

Answer:

median

Step-by-step explanation:

There are 15 numbers so we have to find the median that is in the center.

median = 9

Answer:

Hi! The answer to your question is 65

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

Answer:

I’m pretty sure it’s D

Step-by-step explanation:

A. Lets convert millimeters into kilometers.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

since 4000000mm = 4km, A is true. (Not the answer)

B. Lets convert millimeters into centimeters.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

Since 300mm > 3cm, B is true. (Not the answer)

C. Lets convert millimeters to meters.

[tex]1000mm = 1m \\ 1m = 1000mm \\ 1 \times 5 = 1000 \times 5 \\ 5m = 5000mm[/tex]

Since 5m = 5000mm, C is NOT true. (Answer)

D.Lets convert metres to kilometres.

[tex]1km = 1000m \\ 1 \times 2 = 1000 \times 2 \\ 2km = 2000m \\ 2km < 20km[/tex]

Since 2000m < 20km, D is true. (Not the Answer.)

Answer:b

Step-by-step explanation:

Answer:

the answer is the top right if confused then it's the one with the fraction 2/3

Step-by-step explanation:

i got it right on i ready quiz.

Answer: 9/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Answer:

15

Step-by-step explanation:

Total quantity of clay = 5 pound

Now, Reynolds  divides the clay into 1 third pound pieces.

this means each piece of clay weighs = 1/3 pounds

Therefore, number of pieces of clay = Total weight of clay/ weight of each piece

= 5/(1/3) = 15

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Answer:

x + 7 > 18

Step-by-step explanation:

Answer:

The answer should be B

Step-by-step explanation:

Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.

Answer:

its 12

heart if it helped!

Answer:

24 inches.

Step-by-step explanation:

Add em' all up cuz.

Answer:

It should be 30 I think

Step-by-step explanation:

I first found the perimeter of the rectangle and then the triangle and added them both together

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Answer: James

Step-by-step explanation: 2.2 is less than 2.25.

Answer:

C

Step-by-step explanation:

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

Answer:

b=3.49

Step-by-step explanation:

5.5 - 2.01 = 3.49

2.01 + 3.49 = 3.49

can I have brainllest

Answer:32

Step-by-step explanation: 52-20

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

Step-by-step explanation:

5²=4²+x²

25=16+x²

25-16=x²

9=x²

√9=√x²

3=x

A

Answer:

θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

Answer:

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

Answer:

AC=19

AB=8.5

<BAD=65

<ABC=115

<BAE=35

Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368