The angle of depression of a buoy from a point on a lighthouse 120 feet above the water's surface is 10 degrees. Find the distance from the lighthouse to the buoy. Leave answer with two decimal places.

Answer:

the answer is 12-18

it's because 12 can't go in 18

so we minus 18 from 12 which is 6

Then we add the minus sign

Answer:

not sure but i think its b

Step-by-step explanation:

Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

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Answer:

A

Step-by-step explanation:

Jump discontinuity

Answer:

Step-by-step explanation:

Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0:  2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.

Now do the same thing with

-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4.  Thus, this function is not continuous at x = 2.  

We must reject statement A.

Statement B:  as x increases without bound, (1/2)x + 3 also increases without bound.  This statement is true.

Statement C:  False, because the quadratic -x^2 - 4x + 1 has a maximum at

x = -b/[2a], or x = -(-4)/[-2], or x = -2

Statement D:  True:  there are no limitations on the values of the input, x.

The statement B is as x approaches positive infinity f(x) approaches positive infinity is true

A point or level beyond which something does not or may not extend or pass.

We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]

at the break point x = 0

[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,

So these two functions approach the same value as x approaches 0.

Now do the same thing with

[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;

The first comes out to -11 and the second to 4.  

Thus, this function is not continuous at x = 2.  

We must reject statement A.

for B we have as x increases without bound,

[tex](1/2)x + 3[/tex]

also increases without bound.  

Therefore the statement B is true statement.

Statement C is  False,

because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at

[tex]x = -b/[2a],[/tex]

[tex]x = -(-4)/[-2],[/tex]

[tex]x=-2[/tex]

There are no limitations on the values of the input, x.

D is also false negative number are in real numbers.

Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true

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Answer:

457 pesos

Step-by-step explanation:

From the above question, we are told that:

David bought 23 pens and 15 pencils.

Each pen = 14 pesos

Each pencil = 9 pesos

The amount of money David spent in total =

(23 × 14 pesos) + (15 × 9 pesos)

= 322 pesos + 135 pesos

= 457 pesos

Therefore, David spent in total 457 pesos

Answer:

point x

Step-by-step explanation:

it's like the positive side of the line, but in reverse. with negatives, the higher the number the lower it is and since 3.3 is bigger than 2 it would be closer to 4

Answer:

B(1, -2)-- B(1,2) Oa

● C.y-axis

Answer:

Step-by-step explanation:

Option d 30 is divisible by K

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

also

6300

8400

= B= 14056

Answer:

5

Step-by-step explanation:

Calculate the slope , rate of change m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)

m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over x = -1 performs the transformation ...

  (x, y) ⇒ (-2-x, y)

Answer:

The sample proportion is never a point estimate of the population proportion. I need help ASAP

Step-by-step explanation:

The sample proportion is never a point estimate of a population proportion. Then the correct option is B.

The letters p stand for the population percentage and the sample proportion, respectively.

The objective of the population proportion are as follows;

The sample proportion is never a point estimate of a population proportion.

Then the correct option is B.

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Answer: See Below

Step-by-step explanation: See the pictures below

Answer:

$8250

Step-by-step explanation:

In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.

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Answer:

Step-by-step explanation:

15% is equivalent to 15/100 or 0.15

So just multiply $55,000 by 0.15.

After multiplying, you should get 8250.

So 8250 is your answer

Answer:

100 i think

Step-by-step explanation:

Answer:

x = 80

Step-by-step explanation:

3/12 = x/20

3x = 240

x = 80

Answer:

$156

Step-by-step explanation:

First you must find out the number of dollars Prasad receives per hour.

Since he earns $195 in 15 hours we can do 195/15 = 13 to find out the amount of dollars he earns per hour which is $13.

Next we must find out how much money he receives when he work for 12 hours so we simply do 13 (payment per hour) * 12 (amount of hours he works) which will give us $156!

This makes sense cuz 156 is a little bit less than 195 and ofc 12 is a little bit less than 15!

Prasad earn $156 next week if he is scheduled to work 12 hours

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Prasad worked 15 hours this week and earned $195

We have to find the amount earned by prasad for work 12 hours

Let us form an proportional equation.

Let x be the amount earned for 12 hours

15/195 = 12/x

Apply cross multiplication

15x=195(12)

15x=2340

Divide both sides by 15

x=2340/15

x=156

Hence, Prasad earn $156 next week if he is scheduled to work 12 hours

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Answer:

(-2,-1)

Step-by-step explanation:

The solution to the system is (-2,-1) as both of the linear equations intersect at that point in the graph.

sorry i don't know. this answer.

Answer:

a) A

b) A

c) B

c) B

Step-by-step explanation:

Answer:

V=1 4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

Answer:

Picture please

Step-by-step explanation:

Ill check on your other question,, and always make sure there is an image attached when asking something that includes and needs an image/picture/screenshot!

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1

Answer:

1 and to find a unit fraction of an amount, divide the amount by the denominator of the fraction. For example to find 1/3 of 18, divide 18 by 3. 18 ÷ 3 = 6 and so, one third of 18 is 6. /3 is a unit fraction with a denominator of 3.

Step-by-step explanation:

Answer:

18.9

Step-by-step explanation:

361-4 = 357

the root of 357 is 18.9 when rounded

Answer:

4:1

Step-by-step explanation:

unsimplified version : 12 to 3

12 and 3 both have a common common factor ( which would be 3 )

This means that we can divide the current ratio to get a simpler ratio

12/3=4

3/3=1

The new simplified ratio would be 4:1

Answer: I believe you are correct I got the same answer as you.

Answer:

wrong, it would be 1/2 and 5/8

Step-by-step explanation:

7/8ths is over 3/4ths. to check use decimal form which is done by dividing numerator by denominator.

Answer:

24,831.28

Step-by-step explanation:

Brainliest pls

Answer:

t = 16.6

Step-by-step explanation:

In the formula:

[tex]a = p(1 + r )^{t} [/tex]

A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.

Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:

[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]

Now we have to use the following rule for the exponents and logarithms:

[tex] {a}^{x} = b[/tex]

Apply logarithms on both sides:

[tex]log( {a}^{x}) = log(b)[/tex]

By the exponents rule of logarithms

[tex]x \: log(a) = log(b)[/tex]

For this problem we have:

[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]

Now we have to divide both sides by log(1+r) to clear t:

[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]

And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:

[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]