A surveyor is shooting a line to a point on a tree 55 m from his current position. After rotating his surveying instrument 25" to the left, he shoots another line to a point on a fence post 25 m away.Determine the distance between the point on the tree to the point on the fence post. ( show the appropriate formula , substitutions, and work. Give the distance to the nearest hundredth of a meter)

Answers

Answer 1

Answer: Take a look at the diagram below.
This problem looks like a great candidate for using the Law of Cosines.
If you know two sides, you can find the third side from the angle opposite or vice versa. Should the sides be a, b, and c, and their opp. angles A, B, and C...
a² + b² - 2ab(cosC) = c²

Let's plug in what we know...a = 55, b = 25, and m<C = 25".

55² + 25² - 2(55)(25)(cos(25")) = c²

One thing to note is that our angle measure is in seconds. Unless you're using Google's built in calculator, you'll wind up having to convert to degrees. 60 seconds in a minute, 60 minutes in a degree...blahblahblah.
Anyways, cos(25") comes out to be practically 1. (0.99999993)
Let's get evaluating.

3025 + 625 - 2750(1) = c²
3025 + 625 - 2750 = c²
900 = c²
30 = c

The tree is 30 meters from the fence post.

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Answers

The answer is a I hope this helps

I think it’s x I may be wrong but I think x

F(x)=2x+3/4x+5
find f(-9)

Answers

$\huge\textsf{Hey there!}$

$\mathsf{f(x) = (2x + 3)/(4x + 5)}$

$\mathsf{y = ( 2x + 3)/(4x + 5)}$

$\mathsf{y = (2(-9) + 3)/(4(-9) + 5)}$

$\mathsf{2(-9)}$

$\mathsf{\bf = -18}$

$\mathsf{y = \frac{-18 + 3} {4(-9) + 5}}$

$\mathsf{-18 + 3}\n\mathsf{= \bf -15}$

$\mathsf{y = \frac{ -15} {4(-9) + 5}}$

$\mathsf{4(-9)}\n\mathsf{\bf = -36}$

$\mathsf{y = (-15)/(-36 + 5)}$

$\mathsf{-36 + 5}\n\mathsf{= \bf-31}$

$\mathsf{y = (-15)/( -31)\rightarrow\boxed{\bf (15)/(31)}}$

$\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = (15)/(31)}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

$\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$f(x) = (2x + 3)/(4x + 5) \n$

For $f(-9)$ , put " $-9$ " for every value of " $x$ ".

$↬f( - 9) = (2( - 9) + 3)/(4( - 9) + 5)\n$

$↬ f(-9) = ( - 18 + 3)/( - 36 + 5) \n$

$↬ f(-9) = ( - 15)/( - 31)\n$

$↬ f(-9)= (15)/(31)\n$

$↬f(-9)= 0.48\n$

$\bold{ \green{ \star{ \red{Mystique35}}}}⋆$

Simplify the expression:
3(3 - p) =

Answers

Answer:

-3p+9

Step-by-step explanation:

Find the value of x
a) 5
b) -1
c) 6
d) 2

Answers

Answer:

a) 5

Step-by-step explanation:

x+2 = 2x-3

-x -x

2 = x-3

+3 +3

5 = x

Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths. (1 point) gallons

Answers

Answer:

3.2 gal oil

Step-by-step explanation:

Use a proportion.

5/2 = 8/x

5x = 2 × 8

5x = 16

x = 3.2

81 2x+2 = 3 2x+2

Can anyone help me slove this ASAP please