Answers
Answer:
≈ 47.2 m
Step-by-step explanation:
let the height from the sea to the base of lighthouse be h₁
let the height from the sea to the top of the lighthouse be h₂
using the tangent ratio in the right triangle
tan55.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1} }{610}[/tex] ( multiply both sides by 610 )
h₁ = 610 tan55.1°
tan56.5° = [tex]\frac{h_{2} }{610}[/tex] ( multiply both sides by 610 )
h₂ = 610 tan56.5°
then
height of lighthouse = h₂ - h₁
= 610 tan56.5° - 610 tan55.1°
= 610(tan56.5° - tan55.1° )
≈ 47.2 m ( to the nearest tenth )
Related Questions
file attached belowfile attached below
Answers
explanation: im not sure what youre asking
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the expressions given in words with their values when m = 6. 2 15 42 3 21
Answers
The matching is done below
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
1) 3 is the difference of 2 times d minus 3.
As, 2*d - 3
=2*3 - 3
=6 - 3
= 3
2) 4 is 4 added to the difference of d minus 3.
or, 4 + (d - 3)
or, 4 + (3 - 3)
or, 4 + 0 = 4
3) 0 is the difference of d minus 3 divided by 2.
(d - 3)/2
= (3 - 3)/2
= 0/2
= 0
4) 2 is the quotient of 12 divided by the difference of 3 times d minus 3.
12/(3d - 3)
=12/(3*3 - 3)
=12/(9 - 3)
=12/6
= 2
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what is life?bhkbkbkjnmmkjopjlknm nbgvuyihjknm
Answers
Answer:
yessss
Step-by-step explanation:
yessssssss
The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.
Find an equation for the line that passes through the point P(-5,-3) and is parallel to the line
7x + 4y
10. Use exact values.
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = -1.75x - 11.75}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Goes through (-5, -3) and parallel to 7x + 4y = 10}[/tex]
Find: [tex]\textsf{The equation in slope-intercept form}[/tex]
Solution: We need to first solve for y in the equation that was provided so we can determine the slope. Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.
Subtract 7x from both sides
[tex]\textsf{7x - 7x + 4y = 10 - 7x}[/tex][tex]\textsf{4y = 10 - 7x}[/tex]Divide both sides by 4
[tex]\textsf{4y/4 = (10 - 7x)/4}[/tex][tex]\textsf{y = (10 - 7x)/4}[/tex][tex]\textsf{y = 10/4 - 7x/4}[/tex][tex]\textsf{y = 2.5 - 1.75x}[/tex]Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-3) = -1.75(x - (-5))}[/tex]Simplify and distribute
[tex]\textsf{y + 3 = -1.75(x + 5)}[/tex][tex]\textsf{y + 3 = (-1.75 * x) + (-1.75 * 5)}[/tex][tex]\textsf{y + 3 = -1.75x - 8.75}[/tex]Subtract 3 from both sides
[tex]\textsf{y + 3 - 3 = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 11.75}[/tex]Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75
If f(x)=5x-2 and g(x)=2x1 find (f+g)(x)
Answers
Answer:
D
Step-by-step explanation:
5x-2+2x+1
5x+2x+1-2
7x-1
Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2
Answers
The expanded expressions are shown below:
(x + 1)² = x² + 2 · x + 1(x - 3)² = x² - 6 · x + 9(x + 4)² = x² + 8 · x + 16(x - 1/2)² = x² - x + 1/43 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75(1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2How to expand perfect square trinomials
Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:
a) (x + 1)² = x² + 2 · x + 1
b) (x - 3)² = x² - 6 · x + 9
c) (x + 4)² = x² + 8 · x + 16
d) (x - 1/2)² = x² - x + 1/4
e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
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Frankie’s weekly budget includes a long-term goal of purchasing a car. He is saving $15 a week toward that goal. He is considering saving up his money to purchase his grandmother’s older car. Frankie knows his grandmother has maintained the car and it is in good condition. She is also giving him a greatly discounted price of $800. What should Frankie consider before buying the car? Check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Answers
The decision of purchasing a car must be taken by Frankie after considering the following points:
1. what he will be giving up if he spends $800 on the car
2. The cost to maintain and ensure the car
3. his short- and long-term financial goals
4. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
What is the point he must know about purchasing a car?Frankie is an individual person when he wants to purchase a car that is his long-term goal.
he must consider various things before making such a big expenditure.
The points to be noted before purchasing a car are:
what is the cost for Frankie for spending $800?
What will be the maintenance and insurance cost?
He must check his other short and long-term goals before purchasing a car.
Is the expense of the car a necessity for Frankie or he can use public transport.
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Answer:
Step-by-step explanation: thank me later
A,B,E
1.) I can find my Vulome if the vulome of cylinder is multiplied by 4/3 who am i?
2.)The Vulome is 1/3 that of a cylinder that has the same base and height with me. Who am I?
Answers
If the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Thus, you're a sphere.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
h is the height.r is the radius.How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
V = 4/3 × πr³
Similarly, the volume of a cylinder can be calculated by using this formula:
V = πr²h
In this context, we can infer and logically deduce that if the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Also, multiplying the volume of a cylinder by 1/3 would produce the volume of a sphere.
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How do I graph y−3=1/2(x+3) on this graph? :c
Answers
From point (0, 9/2) and (-9, 0) we get a straight line.
What is Straight line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, given equation:
(y − 3) = 1/2(x + 3)
at x = 0,
y - 3 = 1/2 (0 + 3)
y - 3 = 1/2 X 3
y = 3/2 + 3
y = 9/2
at y = 0,
0 - 3 = 1/2 (x + 3)
-3 = 1/2 (x + 3)
-6 = x + 3
x = -6 - 3
x = -9
Thus, from point (0, 9/2) and (-9, 0) we get a straight line.
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A student survey his classmates to determine their favorite movies
Answers
Answer:
The answer is C. Hope it helps
Question 1(Multiple Choice Worth 5 points) (04.02 MC) What are the domain and range of the function f of x is equal to the quantity x squared plus 8x plus 7 end quantity divided by the quantity x plus 1 end quantity? D: {x ∊ ℝ | x ≠ 1}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ −6} D: {x ∊ ℝ | x ≠ −7}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ 6}
Answers
The domain and the range of the function is (d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}
The complete questionWhat are the domain and range of the function f(x) = x^2 + 8x + 7/x + 1
The domain of the functionWe have the function to be
[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]
Set the denominator to 0
x + 1 = 0
Solve for x
x = -1
This means that the domain of the function is the set of all real numbers except -1
Hence, the domain of the function is {x ∊ ℝ | x ≠ -1}
The range of the functionWe have the function to be
[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]
Factorize the numerator
[tex]f(x) = \frac{(x + 1)(x + 7)}{x + 1}[/tex]
Simplify
f(x) = x + 7
The function is undefined at x= -1.
So, we have:
f(-1) = -1 + 7
f(-1) = 6
This means that the range of the function is the set of all real numbers except 6
Hence, the range of the function is {y ∊ ℝ | y ≠ 6}
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Answer:
It is d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}
Step-by-step explanation:
I took the test
If a-4b=18,what is 3a/81b
Answers
Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.
Answers
Answer:
As the x-values go to positive infinity, the function's
values go to negative infinity.
Step-by-step explanation:
upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.
Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).
please answer me please
Answers
Step-by-step explanation:
please mark me as brainlest
Step-by-Step Explanation:
Factorize by Splitting the Middle Term :-
4x^2 + 20x + 25
4x^2 + 10x + 10x + 25
2x(2x + 5) + 5(2x + 5)
(2x + 5)(2x + 5)
This is the Factorized Form.
Which equation has a constant of proportionality equal to 1/2
Choose 1 answer:
Answers
So, for there to be a constant of proportionality of 1/2, the equation should be y = 1/2 x.
This is the same as y = 3/6 x (since 1/2 = 3/6), so the answer is C.
Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.
How much did Britney earn last week?
Enter your answer in the box.
$
Mattress sale Amount
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800
Answers
Answer:
$809.25
Step-by-step explanation:
→ Find the sum of the sales amount
2400 + 3200 + 1900 + 800 = 8300
→ Find the amount that s commission
( 9.75 × 8300 ) ÷ 100 = $809.25
Which of the following best describes a tessellation?
O A. An arrangement of repeating shapes with spaces between the
shapes and overlapping shapes
B. The point about which an image is rotated in rotational symmetry
C. An arrangement of repeating shapes with no spaces or overlaps
between them
D. The axis about which an image is rotated in reflectional symmetry
Answers
The statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
What is tessellation?
A tessellation can be defined as a pattern of geometric shapes that fill a two-dimensional space without gaps and overlaps
It is also known to repeat infinitely in all directions.
Thus, the statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C
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the probability that Luis will pass his test is 0.82. find the probability that he will fail his statistic test
Answers
The probability of failure for Luis will be 0.18.
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability of passing is = 0.82
We know that the maximum probability of happening any event is 1 or 100 per cent if the probability of passing of the person is 0.82 then the probability of failure will be calculated as:-
Probability of failing = 1 - probability of passing
Probability of failing = 1 - 0.82
Probability of failing = 0.18
Therefore the probability of failure for Luis will be 0.18.
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if the relationships below are given in the form(input, output) which paring always describes a function
Answers
The function among the given option is height of a building in feet, height of the building in inches , Option B is the correct answer.
What is a Function ?
A function is a law that relates a dependent and an independent variable.
The options mentioned below needs to be studied to determine which forms a function.
Option A , C and D doesn't really form a function ,
For two variables need to be a function then they have to be dependant on each other and have only one output for a given input.
height of a building in feet, height of the building in inches
Height of building in feet = (height of building in inches/12)
so this is a function
Therefore Option B is the right answer.
The missing options are
If the relationships below are given in the form (input, output), which pairing always describes a function?
A) (number of doors in a car, number of cup holders in the car)
B) (height of a building in feet, height of the building in inches)
C) (beverage charge on a bill, total meal charge on the bill)
D) (distance from home during a trip, time elapsed during the trip)
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what is the simplified equivalent of the terminating
Answers
The simplified fractional equivalent of 0.25 is 1/4 .
The complete question is
What is the simplified fractional equivalent of the terminating decimal 0.25?
What is simplified equivalent ?When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.
The given number is decimal 0.25
So this number is in its simplified state but can also be written as
0.25 * 1
= 0.25 * 100 /100
= 25/100
= 1/4
Therefore 1/4 is the simplified fractional equivalent of 0.25.
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pls see the attachment
Answers
24 of the 720 numbers have the numbers 1, 2 and 3 in that order
How to determine the number of arrangements?The digits are given as:
1, 2, 3, 4, 5, and 6
For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit
So, we have:
(123), 4, 5, and 6
Now, there are 4 digits.
The number of arrangements is then calculated as:
Arrangements = 4!
Expand
Arrangements = 4 * 3 * 2 * 1
Evaluate
Arrangements = 24
Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order
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Consider a student loan of $12, 500 at a fixed APR rate of 9% for 25 years.
a. Calculate the monthly payment
b. Determine the total amount paid over the term of the loan
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Answers
The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470
How to calculate APR?
We are given;
Loan principal = $12,500
Interest rate = 12%
Number of payments per year = 12 payments per year.
Loan term = 25 years.
Formula for monthly payment is;
PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]
Where;
p is principal
APR is interest rate
n is number of payments per year
Y is loan term
Thus;
PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]
PMT = 93.75/(1 - 0.106288)
PMT = $104.9
B) Total amount paid over the loan term is;
A = PMT * m * n
where;
m is number of months in a year,
n is number of years
A = 104.9 * 12 * 25
A = $31470
C) The principal as a percentage of the loan is;
P/A = 12500/31470
P/A = 39.72%
Percentage paid for interest is = 100% - 39.72% = 80.28%
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Fill in the blank. In the triangle below, y=? Round your answer to two decimal places.
Answers
Answer:
z= 38°
Step-by-step explanation:
z= 90(from right angle)+52=142
180-142=38°
2 ft
4.5 ft
6 ft
A) 38 cubic feet
B) 54 cubic feet
C)
66 cubic feet
D) 125 cubic feet
What is the volume?
Answers
Answer:
B
Step-by-step explanation:We know Volume = (a*b*c)
Answer:
B) 54 cubic feet
Step-by-step explanation:
3+7=6-|-x|
Solve for x.
Thanks :)
Answers
Answer:
no solution
Step-by-step explanation:
| | is a notation for absolute value, which is the distance that a number is from 0.
you can think of this as the "positive version" of a number
so, |-x| will become: x
We can plug this into the equation, and solve like we would for any variable
3 + 7 = 6 - |-x| {simplify}
3 + 7 = 6 - x {simplify}
10 = 6 - x
Now, we can isolate x (isolate = get it alone)
10 = 6 - x
-6 - 6 {subtract 6 from both sides}
4 = -x {multiply both sides by -1 to get positive x}
·-1 ·-1
- 4 = x
{check solution:}
3 + 7 = 6 - | -4 |
10 = 6 - 4
10 = 2
FALSE
because this solution has been found to be false, there is no possible value for x
we write this as: no solution
[tex]3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset[/tex]
Find f(-4) for f(x)=9(3)^x
Answers
Answer:
[tex] f(-4) = \dfrac{1}{9} [/tex]
Step-by-step explanation:
[tex] f(x) = 9(3)^x [/tex]
[tex] f(-4) = 9(3)^{-4} [/tex]
[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]
[tex] f(-4) = 3^{-2} [/tex]
[tex] f(-4) = \dfrac{1}{9} [/tex]
Answer:
1/9
-------------
Solve: 4 + 3x = 2(3x-7) +9
A. There are infinitely many solutions
B. x = 3
C. x = -3
D. x = 2/3
Answers
Answer:
B. x = 3
Step-by-step explanation:
Simplifying
4 + 3x = 2(3x + -7) + 9
Reorder the terms:
4 + 3x = 2(-7 + 3x) + 9
4 + 3x = (-7 * 2 + 3x * 2) + 9
4 + 3x = (-14 + 6x) + 9
Reorder the terms:
4 + 3x = -14 + 9 + 6x
Combine like terms: -14 + 9 = -5
4 + 3x = -5 + 6x
Solving
4 + 3x = -5 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
4 + 3x + -6x = -5 + 6x + -6x
Combine like terms: 3x + -6x = -3x
4 + -3x = -5 + 6x + -6x
Combine like terms: 6x + -6x = 0
4 + -3x = -5 + 0
4 + -3x = -5
Add '-4' to each side of the equation.
4 + -4 + -3x = -5 + -4
Combine like terms: 4 + -4 = 0
0 + -3x = -5 + -4
-3x = -5 + -4
Combine like terms: -5 + -4 = -9
-3x = -9
Divide each side by '-3'.
x = 3
Simplifying
x = 3
Which number should replace the ç to make the subtraction problem correct?
9.866
- 7.97ç
1.889
Answers
Answer:
7
Step-by-step explanation:
for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.
Please solve these questions with an explanation
Answers
Answer:
Step-by-step explanation:
Immediate help needed please.
Can you answer and explain please
Answers
The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
(k - 1)x² + (4k)x + k -3 = 0
Here,
a = k - 1
b = 4k
c = k - 3
As we know for distinct real roots:
D > 0
[tex]\rm {b^2-4ac}} > 0[/tex]
(4k)² - 4(k-1)(k-3) > 0
[tex]\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0[/tex]
[tex]\rm 12k^2+16k-12 > 0[/tex]
[tex]\rm 3k^2+4k-3 > 0[/tex]
[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0[/tex]
[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}[/tex]
[tex]\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}[/tex]
[tex]\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}[/tex]
or
[tex]\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535[/tex]
Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
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