1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
3 years ago
6

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

nce for his farm. From one vertex, it is 435 m to the second vertex and 656 m to the third vertex. The angle between the lines of sight to the second and third vertices is 49°. Calculate how much fencing he would need to enclose his entire field.

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

<em>Fencing required = 1586 m</em>

Step-by-step explanation:

The given statements can be thought of a triangle \triangle ABC as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

\angle A =49^\circ

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use <em>Cosine Rule </em>to find the third side.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = <em>1586 m</em>

<em></em>

<em>Fencing required = 1586 m</em>

You might be interested in
A store sells 12 cans of nutsnuts for ​$15. How much would it cost you to buy 7 cans of nutsnuts​?
Len [333]
The ratio cans to price are 12/15.
Cross multiply: 12/15 * 7/x = 84/15x = x = 5.6
4 0
3 years ago
PLEASE HELPPPP I DONT KNOW HOW TO DO THIS
KonstantinChe [14]

Answer:

I'm not an expert here, this is a best guess!

But I would say if there is no chance that of him incurring excess costs of less than $500, then he knows without insurance he'll end up paying at least $500, possibly more out of pocket, without the insurance.

so I would say He ends up spending the least amount out if pocket by going with option A. for $75. that's $75 out of pocket with no deductible and it covers his $500+ in excess costs....B and C would also cover the excess, but would each cost $140 or $275 out of pocket at the end of the day....

with that being said, I'd say it's worth it to buy the insurance....even if he doesn't have any excess costs, he's spent $75 dollars for the peace of mind to know he's covered either way, and if he does incur the excess costs he's spent $75 rather that $500+....Even if the excess charges are only $100, which it says there is no chance of happening, but still, then he's still saved $25 altogether. Unless I'm reading it wrong, Option A saves him the most money either way, and is worth it to buy the insurance!

3 0
3 years ago
After distributing, which equation is equivalent to -4(3x + 2) = 10a.-12x -8 = 10b.-12x + 8 = 10c.-12x -6 = 10d.-12x + 6 = 1
rodikova [14]

Answer:

Option A: -12x-8=10 is the correct answer.

Step-by-step explanation:

Given equation is:

-4 (3x+2) = 10

We will distribute the equation by multiplying the terms inside the brackets with -4.

Therefore,

-4*3x + 2*-4 = 10

-12x +(-8) = 10

-12x - 8 = 10

The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.

Hence,

Option A: -12x-8=10 is the correct answer.

5 0
3 years ago
Terica is dissolving a substance in a solution for a chemistry experiment. Terica measured the amount of substance remains in gr
vfiekz [6]

Answer: -1 1/3

She asked me where I was from

I said "Somewhere you never been to"

Little town outside of Knoxville

Hidden by some dogwood trees

She tried talkin' with my accent

We held hands and waded into

That blue water

She left her flip-flops by my Red Wings on the beach

[Chorus]

Yeah but, now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed mе tells me she'd lovе Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Verse 2]

I said "Let's go shoot tequila"

So we walked back to that beach bar

She said "Don't cowboys drink whiskey?" (huh)

So we drank bottom shelf

She said ", that sky looks perfect"

I said "Girl, you've never seen stars like the ones back home"

And she said "Maybe I should, see 'em for myself"

[Chorus]

Yeah, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Bridge]

I said meet me in the mornin'

And she told me I was crazy

Yeah, but I still thought that maybe she'd show up

[Chorus]

Oh, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

Yeah, but all I brought back with me was some sand in my boots

Step-by-step explanation:

7 0
2 years ago
Please help you will feel good and u will get good deeds
KIM [24]

Answer:

5 or 6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • If f(x) = 5x^3-2 and g(x)= 2x+1, find (f+g) (x).
    9·2 answers
  • Can anyone please help me solve for x? Thank you!
    12·2 answers
  • Three numbers form a geometric progression. If the second term is increased by 2, then the progression will become arithmetic an
    15·1 answer
  • What is the lcm of 6 and 7
    14·2 answers
  • a play court on the school playground is shaped like a square joined by a semicircle.the perimeter around the entire play court
    13·1 answer
  • What is the solution to the equation x2 + 2x = 12?
    8·2 answers
  • Help anyone??
    8·2 answers
  • Help plzzzzzzzzzzz help plzzzzzzzzzzz help plzzzzzzzzzzzzzz
    7·1 answer
  • On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa e
    14·1 answer
  • HEEEEEEEEEELP i dont get it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!