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.
Answers
Answer:
680. 55 feets
Step-by-step explanation:
From the diagram, distance from lighthouse to buoy = x
Angle from top of lighthouse to buoy = (90 - 10) = 80°
Using the trigonometric relation :
Tanθ = opposite / Adjacent
Opposite = x
Adjacent = 120
Tan 80 = x / 120
5.6712818 = x / 120
x = 5.6712818 * 120
x = 680. 55 feets
Related Questions
Am I right or wrong if so please tell me the answer
Answers
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.
PLEASE HELP NO LINKS PLEASE.
Answers
Answer:
a) A
b) A
c) B
c) B
Step-by-step explanation:
What is the volume of the triangular prism in feet cubed?
Answers
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!
Copy the diagram. Then draw Rx=-1 (ABC). Lable the vertices of the image by using prime notation.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Reflection over x = -1 performs the transformation ...
(x, y) ⇒ (-2-x, y)
Consider function f.
Which statement is true about function f?
A.
The function is continuous.
B.
As x approaches positive infinity, approaches positive infinity.
C.
The function is increasing over its entire domain.
D.
The domain is all real numbers.
Answers
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
What is the definition of the limit?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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Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)
Answers
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
PLEASE HELP. 20 POINTS
Answers
Answer:
not sure but i think its b
Step-by-step explanation:
Determine if the following system onf equations has no solutions, infinite solutions, or one solution
-5x+2y=5
5x-2y=-5
Answers
-5x + 2y = 5
2y = 5 + 5x
y = 5/2x + 5
5x - 2y = -5
5x = 2y - 5
2y = 5 + 5x
y = 5/2x + 5
Same results, therefore the equations are the same.
Solution: infinite solutions
At which of the given values is the graph discontinuous? will report if links is put as an answer.
Answers
Answer:
A
Step-by-step explanation:
Jump discontinuity
which of the following expressions are equivalent to the value of -6
A. 0-6
B.0-(-6)
c. 12-18
d. -7 - (-1)
E. -3 - 9
will mark brainlist
Answers
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
Based on the graph, what is the solution to the system of equations below?
Plz help
Answers
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.
write the fraction as a product of a whole number and a unit fraction 5/5
Answers
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:
If K is divisible by 2 , 3 and 5, which of the following is also divisible by these numbers?
PLEASE HELP
Answers
Answer:
Step-by-step explanation:
Option d 30 is divisible by K
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi=3.14 in any formulas used.
Answers
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
Help is really appreciated :)
Answers
Answer: See Below
Step-by-step explanation: See the pictures below
Each of the figures are similar. Find the missing length
Answers
Answer:
x = 80
Step-by-step explanation:
3/12 = x/20
3x = 240
x = 80
Which point best represents 3.3
Answers
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
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 19 cm.
Find the measure of the other leg, If necessary, round to the nearest tenth.
Answers
Answer:
18.9
Step-by-step explanation:
361-4 = 357
the root of 357 is 18.9 when rounded
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answers
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°
What is the law of sines?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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David compro 23 boligrafos y 15 lapizes, cada boligrafo le costo 14 pesos y cada lapiz 9. ¿Cuanto gasto en total David?
Answers
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
How do u write any number to the zeroth power
Answers
Answer:
0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1
These box plots show the daily high temperatures in two cities over a
two-week period. Express the difference between the median temperatures
as a multiple of the IQR for each city. Show your work.
London
Honolulu
60
50 52 54 56 58
High Temperature (°F)
4
80 82 84 86
High Temperature (°F)
Answers
sorry i don't know. this answer.
PLZ HELP NO LINKS! WILL GIVE BRAINLIEST!
There are 6500 people in a certain area. The area is growing at a rate of 3.5%.
Use the formula A=Pertto calculate the time it would take for the area to reach 11500 people. Calculate the solution for t to the nearest tenth using logarithms.
Answers
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]
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
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
Solve the equation.
-2/3 (x + 3/5) = 1/2
x=
Answers
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20
Question 1
Indicate the answer choice that best completes the statement or answers the question.
The coordinates of a point and its image after a reflection are given. Describe the reflection as over the x-axis or y-axis, about the
origin, or none of these.
B(1, -2) →B'(1,2)
Оа
a origin
O b. x-axis
Oc. y-axis
Od none of these
Answers
Answer:
B(1, -2)-- B(1,2) Oa
● C.y-axis
SlaSLICS. lvia
2
Select the correct answer.
Under which condition is the sample proportion, P. a point estimate of the population proportion?
OA. The sample represents a proportion of the population.
ОВ.
The sample proportion is never a point estimate of the population proportion. I need help ASAP
OC. The sample size, n, is small enough.
OD. The sample proportion is unblased.
Reset
Next
2021 Edmentum. All rights reserved.
Answers
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.
What is the sample proportion or population proportion?The letters p stand for the population percentage and the sample proportion, respectively.
The objective of the population proportion are as follows;
In order to understand that, the sample fraction is a Gaussian distribution.To comprehend the significance of the sampling proportion's mean score formulae.To determine the shape of the distribution given a big study population.The sample proportion is never a point estimate of a population proportion.
Then the correct option is B.
More about the sample proportion or population proportion link is given below.
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Help me please! If it’s right I’ll give brainliest
Answers
Answer:
100 i think
Step-by-step explanation:
Prasad worked 15 hours this week and earned $195. Assuming he is paid by the hour, how much will Prasad earn next week if he is scheduled to work 12 hours?
Answers
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
What is Ratio?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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Im very confused help me
Answers
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.
Mark me as Brainliest
Answer:
C. 8250Step-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