Are these correct im not sure about the simplified fraction one

Messed up and didnt put the attachment on the last post

Margarita [4]

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

3 0

2 years ago

Factor completely

luda_lava [24]

Answer:

B)

D)

Step-by-step explanation:

1. $7x^3y+14x^2y^3-7x^2y^2$

The GCF of all the term of the above polynomial is $7x^2y$ , hence we take it outside and form a bracket

$7x^2y(x+2y^2-y)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. $5x(x+3)+6(x+3)$

The GCF of all the term of the above polynomial is $(x+3)$ , hence we take it outside and form a bracket

$(x+3)(5x+6)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. $8x^5+2x^4+4x^2$

The GCF of all the term of the above polynomial is $2x^2$ , hence we take it outside and form a bracket

$2x^2(4x^3+x^2+2)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0

3 years ago

Answers...............

umka21 [38]

Answer: Two acute angles

7 0

3 years ago

4. (10 points) From the given triangle:

katrin2010 [14]

Answer:

sinθ = y/r sinθ = $\frac{-6}{10} = \frac{-3}{5}$

cosθ = x/r cosθ = $\frac{8}{10} = \frac{4}{5}$

tanθ = y/x tanθ = $\frac{-6}{8} =\frac{-3}{4}$

cscθ = r/y cscθ = $\frac{-5}{3}$

secθ = r/x secθ = $\frac{5}{4}$

cotθ = x/y cotθ = $\frac{4}{3}$

explanation:

r = $\sqrt{(8)^{2}+(-6)^{2} }$

r = 10

x = 8

y = -6

r = $\sqrt{(4)^{2}+(3)^{2} }$

r = 5

x = 4

y = 3

7 0

3 years ago

Angelo and Deborah are landscapers. Angelo charges a one time fee of $50 plus $15 per hour. Deborah charges a one time fee of $2

Tems11 [23]

Answer:

5 hours

Step-by-step explanation:

Step one:'

given data

Angelo charges a one time fee of $50 plus $15 per hour

let the total charge be y

and the number of hours be x

y= 50+15x----------------1

Deborah charges a one time fee of $25 plus $20 per hour

y= 25+20x----------------2

equate 1 and 2 to find x

50+15x=25+20x

collect like terms

50-25= 20x-15x

25= 5x

divide both sides by 5

x= 25/5

x= 5 hours

4 0

3 years ago