What is the value of A if sin A =

The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each

mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

This means that we can algebraically solve the equation $n + 3n + 3 + 2n + 11 = 50$

Step 1: Combine like terms.

$(n+3n+2n) + (3+11) = 50$
$6n + 14 = 50$

Step 2: Subtract 14 from both sides.

$6n + 14 - 14 = 50 - 14$
$6n = 36$

Step 3: Divide both sides by 6.

$6n/6 = 36/6$
$n = 6$

Step 4: Plug in the value of n as 6 in each side.

$(6) + (3(6) + 3) + (2(6)+11) = 50$
$(6) + (18+3) + (12+11) = 50$
$(6) + (21) + (23) = 50$

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

Someone please help I promis I will mark brainlest thank you so much!

jeka94

Answer: A. You got it! ✔

Step-by-step explanation: All of the others use the "Y" Axis. That's big no-no for this question. Enjoy :)

4 0

3 years ago

Read 2 more answers

A gambler has a fair coin and a two-headed coin in his pocket. He selects one of the coins at random. (a) When he flips the coin

Aleks04 [339]

Answer:

a) probability of choosing heads= 1/2 (50%)

b) probability of choosing the fair coin knowing that it showed heads is= 1/3 (33.33%)

Step-by-step explanation:

Since the unfair coin can have 2 heads or 2 tails , and assuming both are equally possible . then

probability of choosing the fair coin (named A)= 1/2

probability of choosing an unfair coin with 2 heads (named B)= (1-1/2)*1/2= 1/4

probability of choosing an unfair coin with 2 tails (named C)= (1-1/2)*(1-1/2)= 1/4

then

probability of choosing heads= probability of choosing A * probability of getting heads from A + probability of choosing B * probability of getting heads from B + probability of choosing C * probability of getting heads from C =

1/2*1/2 + 1/4*1 + 1/4*0 = 2/4 = 1/2

the probability of choosing the fair coin knowing that it showed heads is

P(A/B) = P(A∩B)/P(B)

denoting event A= the coin is fair and event B= the result is heads

P(A∩B) = 1/2*1/2 = 1/4

but since we know now that that the unfair coin is not possible , the probability of choosing heads is altered:

P(B)=probability of choosing heads= probability of choosing A * probability of getting heads from A + probability of choosing B * probability of getting heads from B = 1/2*1/2+1/2*1 = 3/4

then

P(A/B) = P(A∩B)/P(B) = (1/4)/(3/4) = 1/3

then the probability is 1/3

8 0

3 years ago

How many squares of all sizes are there in the 3 by 3 square shown next?

svet-max [94.6K]

There are 9 unit squares, 4 2x2 squares, and 1 3x3 square, for a total of 14.

5 0

3 years ago

Percents from Tabled Values

alexandr1967 [171]

Answer:

17.9% of men have a HS degree
50.5% of 2-yr degree earners were women
27.9% of the group has a 4-yr degree or higher

Step-by-step explanation:

It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.

men with HS degree = (male HS)/(all male)

= 76/425 ≈ 0.1788 ≈ 17.9%

__

2-yr degrees that are women = (female 2-yr)/(2-yr total)

= 248/491 ≈ 0.5051 ≈ 50.5%

__

4-yr degrees in group = (4-yr degrees)/(total group)

= 258/925 ≈ 0.2789 ≈ 27.9%

_____

<em>Comment on the problem</em>

The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.

(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)

3 0

2 years ago