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

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)

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.

Answer:

99,000.00 × 2.5 . answer d

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

The three trigonometric ratios are defined as follows:

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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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

Answer:5 votes

Step-by-step explanation:

25% of 20=

(25:100)*20=

(25*20):100=

500:100=5

Answer:

six point eighty three

Step-by-step explanation:

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

Answer:

-x

Step-by-step explanation:

3x - y = -2y

add y to both sides

3x = -3y

divide both sides by -3

-x = y

Answer:

T

Step-by-step explanation:

First move to 1 then go up 4 ez claps bois

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

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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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

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%

Answer: Shanghai

Step-by-step explanation:

i hope this helps!

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:

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

Answer: no question=no answer

Step-by-step explanation:

Answer:

30=x

Step-by-step explanation:

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 :)

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)

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

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

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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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]

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

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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