To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C

To Find The Distance From The Edge Of A Lake To The Tree On The Island In The Lake, Lisa Sets Up Atriangular

Answers

Answer 1

Answer:

  135.5 m

Step-by-step explanation:

Given a triangle with angles A=46°, B=103°, and side c=97 m, you want to find the length of side 'a'.

Law of Sines

Given one side and two angles we can solve the triangle using the Law of Sines:

  a/sin(A) = b/sin(B) = c/sin(C)

In order to do that, we need to have a (side, angle) pair, so we need to find the measure of angle C.

  A + B + C = 180°

  46° +103° +C = 180° . . . use the given measures

  C = 31° . . . . . . . . . . . . . subtract 149°

Now, we can find 'a' from ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = (97 m)·sin(46°)/sin(31°) ≈ 135.477286 m

The distance from B to the tree at C is about 135.5 meters.

To Find The Distance From The Edge Of A Lake To The Tree On The Island In The Lake, Lisa Sets Up Atriangular

Related Questions

HURRY HURRY WHAT IS THE SOLUTION TO THIS INEQUALITY

6.9

Answers

Answer: no question=no answer

Step-by-step explanation:

How do you use log and e?

Answers

The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.

Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.

The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.

An exponential function is a function in which a number or data is raised to the power of another number or a variable.

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A spinner is divided into 6 equal regions, numbered 10 through 15. An arrow is spun and lands on one of the numbers. What are the odds of the arow landing on a number that is greater than 10?

A.
0.1667

B.
0.333

C.
0.667

D.
0.833

Answers

Answer: Option D (0.833)

Step-by-step explanation:

There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).

Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833

Match each trig function with its corresponding trigonometric ratio.
Find Sin A, Sin B, Cos A, Cos B, Tan A, Tan B

Answers

The trigonometric ratios for the triangle in this problem are given as follows:

sin(A) = a/c.cos(A) = b/c.tan(A) = a/b.sin(B) = b/c.cos(B) = a/c.tan(B) = b/a.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

The sides are connect by the right angle, of 90 degrees, while the hypotenuse is the straight line segment that connects the endpoints of each of the sides.

Then the trigonometric ratios presented on the bullet points are used for angles A and B in this problem.

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Select the values that make the inequality a > − 6 true

Answers

Answer:

a ≥ -5

Step-by-step explanation:

Think like this is a number line

--------------------------------------------------------------------------------------------------------

-6              -5           -4            -3        -2          -1       0         1        2         3   4

and all the inequality says is for it to be bigger than -6 so than is -5, -4, -3, -2 -1, 0,1 and so on. So the answer is a>-6 or a≥-5

What does he need to get on test number 4 to do that?

Answers

Answer:

86%

Step-by-step explanation:

well we know that his average score is 78 percent. so we need to use 78 with all the tests he took. so 78+78+78 is equal to 234. i tested each number. 234+86 is equal to 320. 320/4 (4 for the number of tests he took) is 80. so he needs a test score of at least 86 percent to raise his average score to 80% he could get a higher score but remember, he is trying to reach 80%

V = 5x + 2y
x= 3
y=-4
a) Work out the value of V.
I
b) Expand 3p(p + 5)
c) Solve 4(k - 6) = 20

Answers

a:
Insert x and y values.
V = 5(3) + 2(-4)
V = 15 - 8
V = 7

b:
Distribute term in expression.
3p^2 + 15p

c:
4k - 24 = 20
4k = 44
k = 11

3x -y=-2y solve for y pls help me

Answers

Answer:

-x

Step-by-step explanation:

3x - y = -2y

add y to both sides

3x = -3y

divide both sides by -3

-x = y

What range of values is not a possible scale factor (k)?
A) k 1
D) all are possible

Answers

A  range of values which is not a possible for scale factor (k): k = 0

We know that the scale factor is the number (also called the conversion factor) which is used to change the size of a figure without changing its shape.

It is used to expand or compress the size of an object.

The scale factor formula is:

Scale factor = Dimensions of the transformed shape ÷ Dimensions of the original shape

If the scale factor k > 1, the object is enlarged.

If the scale factor is 0< k <1, the object is compressed.

If the scale factor is k = 1, the shape of object remains the same.

And the scale factor cannot be zero.

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Please hurry its timed and i really need help!

Answers

Hello!:

Let's take this problem in steps:

   [tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]

Now we need to find the value of sin(x) and cos(x) where the value becomes zero:

  --> and it so happens to be:

        [tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]

Thus:

 [tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]

Answer: (B)

Which of the following are alternate interior angles?
Select all that apply.
25 and 24
26 and 25
1/2
5/6
4/38/7
22 and 28
28 and 21
23 and 25

Answers

Most likely 1/2 good luck !!

PLEASE! I need the prime-power factorization for these!!!

Answers

Answer:

26 is 2×13

27 is 3³

18 is 2×3²

hope it helps :)

Answer:

25= 5 × 5 or 5

30= 2 x 3 x 5

26= 1, 2, 13 and 26.

27= 3×3×3 or 3(3)

18= 2 × 3 × 3

Step-by-step explanation:

How do you write 6.83 in words?

Answers

Answer:

six point eighty three

Step-by-step explanation:

Find the measure of x

Answers

tbh im not sure but someone will help

Which point has coordinates ( 1, 4)?


Please help asap !! I will give 20 points

Answers

Answer:

T

Step-by-step explanation:

First move to 1 then go up 4 ez claps bois

hii! please help i’ll give brainliest

Answers

Answer: Shanghai

Step-by-step explanation:

i hope this helps!

For 1-4, write "yes" or "no" to describe whether or not the line is a good trend line. Explain.

Answers

On solving the provided question we can say that - and a lines need only two points to drawn; so, yes we can draw a line

what is a line?

A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)

here we have,

2 points

(1,5) and (4,5)

and a lines need only two points to drawn,

so, yes we can draw a line

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60 degrees, 60 degrees
find x
please helppp

Answers

Answer:

30=x

Step-by-step explanation:

Each right triangle is a 30 60 90 triangle

The 60 degrees of each triangle is already given

The 90 degrees are the right angles in the middle

So that means the two x at the top would represent 30 degrees

X=30

Need help ASAP I will give branliest NO BOTS OR LINKS!!!!

Answers

$94 would be the correct answer. Hope this helps.

Amanda's class voted on whether or not to do science fair projects in groups. 25% of the 20 votes were in favor of working in groups. How many votes were in favor?

Answers

Answer:5 votes

Step-by-step explanation:

25% of 20=

(25:100)*20=

(25*20):100=

500:100=5

Solve the following problems, please

1) G+7 = 4
2) -5a = 10
3) S-9=10
4) F+15=3
5) -8d = -64
6) A/7 = -4 (divided = /)
7)W-5 =7

Answers

Answer:

1. g=-3

2. a=-2

3. s=19

4. f=-12

5.d=8

6.a=-28

7.w=12

Step-by-step explanation:

1)  take 4-7 to get -3

2)  take 10 divided by -5 to get -2

3) take 10+9 to get 19

4) take 3-15 to get -12

5) take -64 divided by -8 to get 8

6) take -4 times 7 to get -28

7)take 7 plus 5 to get 12

why is 15.6 divided by 13.12 the same as 1560 divided by 312

Answers

Answer:

Step-by-step explanation:

It's like this

4 / 2 is the same as 8 / 4. It's equivalent to each other.

Answer:

because they were both multiplied by ten, so they stay proportanally the same

Step-by-step explanation:

any time you multiply to numbers, if you multiply them both by the same number, the proportion of the numbers will be the same

7. The terminal side of theta, and angle in standard position, intersects the unit circle at
P(-) What is the value of csc?

Answers

Complete question is;

The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?

Answer:

csc θ = -13/12

Step-by-step explanation:

We know that in a unit circle;

(x, y) = (cos θ, sin θ)

Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;

cos θ = -10/26

sin θ = -24/26

Now we want to find csc θ.

From trigonometric ratios, csc θ = 1/sin θ

Thus;

csc θ = 1/(-24/26)

csc θ = -26/24

csc θ = -13/12

What is the reference angle for -252?​

Answers

Answer:

Hi there, the reference angle for -252 is 72°

When it comes to reference angle it has to be less than 90° on either quadrants.

Hope this helped :)

multiply ( y + 10) ( y - 10)

Answers

Answer:

y² - 100

Step-by-step explanation:

(y + 10)(y - 10)

Each term in the second factor is multiplied by each term in the first factor, that is

y(y - 10) + 10(y - 10) ← distribute parenthesis

= y² - 10y + 10y - 100 ← collect like terms

= y² - 100

Evaluate each expression when a = -4 and b = 3

1.) ab
2.) 2a + 3b
2.) 2(a - b)​

Answers

1) -12

ab is a times b. We plug in the numbers (-4)*(3) which equals -12.

2) 1

We plug in -4 for a, and 3 for b into the equation.

We get 2(-4) + 3(3)

2*-4 is -8. 3*3 is 9. We add them both, and -8+9 equals 1.

3) -14

We plug in -4 for a, and 3 for b into the equation.

2(-4-3)

-4-3 is -7. -7*2 equals -14.

What is a formula for the nth term of the given sequence?
20,50, 125...

Answers

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50.  Thus the common factor is 2.5.  The formula for the nth term is

a(n) = a(1)*r^(n - 1)  => a(n) = 20*2.5^(n - 1)

Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. How far is the second from Ubi's home​

Answers

Answer: [tex]2061.55\ m[/tex]

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

[tex]\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km[/tex]

5. The value of a piece of land is growing at a rate of 2.5% annually. If the land was worth $99,000 when it was purchased, which equation could be used to determine the value of the property, y, x years after it was purchased? a) =99,000+2.5 c) =99,000(1.025) b) =99,000(0.025) d) =99,000(2.5)

Answers

Answer:

99,000.00 × 2.5 . answer d

Find the equation of a line that is parallel to the line x= 19 and contains the
point (-4,7)

Answers

Answer:

x = - 4

Step-by-step explanation:

x = 19 is a vertical line parallel to the y- axis

A line parallel to it has the equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 4, 7 ) with x- coordinate - 4 , then

x = - 4 ← equation of parallel line

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