The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?

Answers

Answer 1

Answer:

3ft

Step-by-step explanation:

get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3

Answer 2

Answer:

≈ 5.2 ft

Step-by-step explanation:

sum the parts of the ratio, 3 + 1 + 5 = 9 parts

Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

3 parts = 3 × 20° = 60°

5 parts = 5 × 20° = 100°

The angles of the triangle are 100°, 60° and 20°

The longest side is opposite the largest angle in the triangle

The shortest side is opposite the smallest angle in the triangle.

Thus

the longest side is opposite 100°

the shortest side is opposite 20°

let x represent the shortest side and using the Sine rule

[tex]\frac{x}{sin20}[/tex] = [tex]\frac{15}{sin100}[/tex] ( cross- multiply )

x × sin100° = 15sin20° ( divide both sides by sin100° )

x = [tex]\frac{15sin20}{sin100}[/tex] ≈ 5.2 ( to the nearest tenth )

Thus the shortest side is ≈ 5.2 ft


Related Questions

Please Help! Will mark brainliest!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?

Answers

Answer:

11

Step-by-step explanation:

Let a= times he hit 4 par

Let b = times he hit 5 par

a+b=18 => 4a+4b = 72

4a+5b=79

b=79-72=7

So a = 11

answer:

18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

i hope this helps ♡♡♡

need help with this one ​

Answers

Answer:

triangle 2.854e55

Step-by-step explanation:

Does this matrix have an inverse?why or why not ?

Answers

Answer:

C. No, because it's determinant is zero

Step-by-step explanation:

[tex]A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix} [/tex]

[tex] det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix} [/tex]

[tex] det(A) = 16\times (-2)-(-4)\times 8[/tex]

[tex] det(A) = -32+32[/tex]

[tex] det(A) = 0[/tex]

This matrix have no inverse, because it's determinant is zero.

It is given a 2*2 matrix of order 2.

To find this matrix have an inverse or not.

What is determinant?

A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.

The given matrix is

A= [tex]\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right][/tex]

det A=16*(-2)-(-4)*8=0

det A=0

So, this matrix have no inverse, because it's determinant is zero.

Learn more about determinant here:

https://brainly.com/question/20367047

#SPJ5

Suppose we have universal set U. What does it mean to say that X is a subset of U?

Answers

Answer:

All of the elements of X are elements of U.

Step-by-step explanation:

I need asap!!!brainliest for best answer

Answers

Answer:

D

Step-by-step explanation:

the answer is D ok so u see how she jsbdjdbd

It’s D because the fraction is negative. I hope this helps.

A copy machine produces six pages a print and six seconds how many pages are produced per second

Answers

Answer:

if the printer produces 6 pages in 6 seconds it would be 1 page per second.

mathematically: 6 pages/6 seconds= 1 page/second

There would be one page per second since there are six pages and six seconds u divide and get one!! Hope this helped! BRANLIEST plz

I’ll mark brainliest please help with all and leave a small explanation! :)

Answers

Answer:

A y=6 x= 3

B y=4 x= 2

C y=6 x= 2

D x= 4 y= -2

Step-by-step explanation:

you need to add the numbers on and look how many once u do thag u can see the pattern it makes

How to solve this problem

Answers

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Explain why -6(3)=-18

Answers

Answer:

Step-by-step explanation:

- 6 (3)=-18

when you multiply  6 x 3. it would be 18 using multiplication and then a positive and a negative equals a negative so then a the 18 would become - 18.

help pleasseeeeeeeeee 6. If Ai charges $3.25 per serving of ice cream, how much will she make if she sells it to 12
½ people (children under 5 get half scoops for half the amount, which is why there is a
half person).

Answers

Answer:

40.62

Step-by-step explanation:

that's the answer I got

The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r.

Answers

Do you have a picture its pretty confusing without a picture

Find the missing side

Answers

Answer:

I believe the answer is 48

Step-by-step explanation:

Subtract 30 from 78 to get your answer.

Find m Question below

Answers

Answer:

104 deg

Step-by-step explanation:

A central angle has the same measure as the arc it intersects.

m<JKL = m(arc)JJ = 104 deg

There are 2 white beads for every 7 purple beads. There is a total of 8 white beads. How many purple beads are there?

Answers

Answer:

28

Step-by-step explanation:

In the game of rock, paper,scissors, two people play, and equally likely that you will win, lose or tie. Find the probability of having different outcomes in two tries.
A) 2/3
B) 1/2
C)1/3
D)5/9

Answers

The answer is C I think

PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)

Determine whether the graph represents a proportional relationship. (4 points)

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.

a
Yes, it is a proportional relationship because the graph goes through the origin

b
Yes, it is a proportional relationship because the graph is a straight line

c
No, it is not a proportional relationship because the graph is not a straight line

d
No, it is not a proportional relationship because the graph does not go through the origin

Answers

------> The Answer Is C <------

Hope this helps have a good day :D

help asap please help​

Answers

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Amanda Wrote a list that contained only multiples of 16. Which of the following lists could be Amanda's list?

A. (1,2,4,8,16)
B (16,32,48,64,80)
C. (16,32,42,64,84)
D. (4,812,16,20,24,28)

Answers

A. Gives factors, not multiples

B. Puts the multiples in the correct order, and the numbers are correct

C. 2 numbers are incorrect

D. WHERE DID 812 COME FROM!?!?

The only logical answer is B.

Fill in table using this function rule y= -4x - 2

Answers

Answer:

Step-by-step explanation:

x      y

-2     6

-1       2

0       -2

1          -6

2         -10

HELP PLSPLSPLS WHOEVER GETS RIGHT GETS BRANNIEST !!! PLS HELP FAST!!!!!!!!!!!

Answers

Answer:

Your answer is going to be 34/7.

Step-by-step explanation:

In order to solve this problem, you are going to have to work backward. In the first part, you are trying to see what subtracted with 59/7 after you find that you add 22/7 to it. then subtract 30/7 from the sum. This gives you your answer.

59/7-19/7

40/7+22/7

64/7-30/7

34/7

a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more

Answers

Answer:

the time period is 9 years

Step-by-step explanation:

The computation of the number of years is as follows:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

$49,000 = $38,000 × (1 + 0.03)^number of years  

$49,000 ÷ $38,000 = 1.03^number of years  

tlog(1.03) = log($49 ÷ $38)

Now apply the log formula in calculator or in excel  

t = log(49 ÷ 38) / log(1.03)

= 8.6

= 9 years

Hence, the time period is 9 years

35,800 at 8.2% for 3 years​

Answers

Answer:

A = $446,068.00

Step-by-step explanation:

A = $446,068.00

I = A - P = $88,068.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8.2%/100 = 0.082 per year.

Solving our equation:

A = 358000(1 + (0.082 × 3)) = 446068

A = $446,068.00

The total amount accrued, principal plus interest, from simple interest on a principal of $358,000.00 at a rate of 8.2% per year for 3 years is $446,068.00.

What is the value
14x +18 = 118

Answers

Answer:

[tex]x = 7.142(appx)[/tex]

Step-by-step explanation:

[tex]14x + 18 = 118[/tex]

[tex] = > 14x = 118 - 18 = 100[/tex]

[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]

In order to redress a gender imbalance in its workforce, a company needs to appoint men and
women in the ratio 4:5. Over the next year 90 new jobs are expected to be advertised. How many
of the appointees should be men, and how many women?

Answers

Answer:

40 men 50 women

Step-by-step explanation:

4/9 should be men, 5/9 should be women.

circle two digits that should be switched places to make this sequence correct.
3/7>0.45>43%​

Answers

Answer:

all of them need to be switched

Explanation:

0.45>43%>3/7

Pls help a girl out :/ and show work pls

Answers

I’m guessing the answer would be b

Answer:

it is B

Step-by-step explanation:

- 5 + 7k = -19
Help pwease

Answers

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2

1. Which equation does not represent a
linear function?
A y = -2x
B y = x
c y = 6x +2

Answers

b) y=x

isn’t a linear equation because it has to be written like y=mx+b
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|look what brainly did they got me a good grade in math thank you brainly I thank you so much love you all​

Answers

Answer:

you welcome bih

Step-by-step explanation:

Answer:

Congrats

Step-by-step explanation:

I'm glad its helping.

Find the unit rate. Round to the nearest hundredth, if necessary.

$140 for 13 ft2
the unit rate is:

Answers

The unit rate is: $10.77 per square feet

Explanation: You divide 140 by 13 and round to nearest hundredth.
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