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Lyrx [107]
3 years ago
9

In △ABC, m∠A=72 °, c=61 , and m∠B=16 °. Find the perimeter of the triangle.

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

perimeter of the triangle = 136

Step-by-step explanation:

∡A = 72     side a = ?

∡B = 16      side b = ?

∡C = 180 - 72 - 16 = 92   side c = 61

sinA/a = sinC/c

sin72/a = sin92/61

a = (sin72 * 61) / sin92  

a = 58

sinA/a = sinB/b

sin72/58 = sin16/b

b = (sin16 * 58) / sin72

b = 17

perimeter = a + b + c

perimeter = 58 + 17 + 61

perimeter = 136

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(3a²+6ab-24²)= 3a(a+2b)x(4b)
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2 years ago
The number of people in a car that crosses a certain bridge is represented by the random variable X, which has a mean value μX =
Alona [7]

Let Y be the total amount of money paid by any given set of passengers. If there are X passengers in a car, then the driver must pay a toll of Y=0.5X+3.

Then Y has first moment (equal to the mean)

E[Y]=E[0.5X+3]=0.5E[X]+3E[1]=0.5\mu_X+3=\boxed{4.35}

and second moment

E[Y^2]=E[0.25X^2+3X+9]=0.25E[X^2]+3E[X]+9E[1]=0.25E[X^2]+3\mu_X+9

Recall that the variance is the difference between the first two moments:

\mathrm{Var}[X]=E[X^2]-E[X]^2\implies E[X^2]={\sigma^2}_X+{\mu_X}^2

\implies E[Y^2]=0.25({\sigma^2}_X+{\mu_X}^2)+3\mu_X+9\approx19.22

\implies\mathrm{Var}[Y]=E[Y^2]-E[Y]^2=\boxed{0.3}

3 0
3 years ago
Michelle is at the bakery buying donuts. She can buy 3 donuts for $2.25, 5 donuts for $3.25, or a dozen donuts for $7.68. Which
horsena [70]

Answer:

the dozen for 7.68 because it is 12 instead of 5 for 4.42 more and ur geting 7 more donuts

5 0
3 years ago
PLEASE HELP ASAP!!!!!!
Sunny_sXe [5.5K]

The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

<h3>What are Trigonometric Ratios ?</h3>

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

To know more about Trigonometric Ratio

brainly.com/question/1201366

#SPJ1

7 0
1 year ago
How do I find the value of z?
Shalnov [3]
Hello!

The answer is z = 16..

Solve it like this..

#1) Regroup terms

-3 = -7+z/4 ---> -3 = z/4 - 7

#2) Add 7 to both sides.

-3 = z/4 - 7 ---> -3 + 7 = z/4

#3) Do the addition.

-3 + 7 = z/4 ---> 4 = z/4

#4) Multiply both sides by 4.

4 = z/4 ---> 4 * 4 = z.

#5) Do the multiplication.

4 * 4 = z ---> 16 = z

Hope this helps! ☺♥
3 0
3 years ago
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