The distance between points A and B and the boat is an illustration of elevation and distance
The distance from point A to point B is 346 feet
How to calculate the distance ABThe height of the lighthouse is given as:
h = 113
The distance between point A and the base of the lighthouse is calculated using the following tangent ratio
[tex]\tan(10) = \frac{113}{A}[/tex]
Make A, the subject
[tex]A = \frac{113}{\tan(10)}[/tex]
[tex]A = 640.85[/tex]
The distance between point B and the base of the lighthouse is calculated using the following tangent ratio
[tex]\tan(21) = \frac{113}{B}[/tex]
Make B, the subject
[tex]B= \frac{113}{\tan(21)}[/tex]
[tex]B= 294.38[/tex]
The distance AB, is then calculated as:
[tex]AB = A - B[/tex]
[tex]AB = 640.85 - 294.38[/tex]
[tex]AB = 346.47[/tex]
Approximate
[tex]AB = 346[/tex]
Hence, the distance from point A to point B is 346 feet
Read more about elevation and distance at:
https://brainly.com/question/7243416
HELPPPP PLSS help me and i willl give u brainlylist
Need help math question about Two Lines and Transversals
The right and accurate answer will get brainiest and a thanks!
The midpoint of the segment as an ordered pair (-4,8) (-4,2)
Answer:
Step-by-step explanation:
(-4,8) & ( -4,2)
[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-4-4}{2},\dfrac{8+2}{2}\right)\\\\\\=\left(\dfrac{-8}{2},\dfrac{10}{2} \right)[/tex]
= (-4,5)
hello im new here can anyone please answer this thank you!
Answer:
EC, EB, EA, ED Those are the line segmentsfind area of shaded regions
Answer:
140.8584073
Step-by-step explanation:
Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape. The result is the area of only the shaded region, instead of the entire large shape. In this example, the area of the circle is subtracted from the area of the larger rectangle.
pls help ill give brainliest i put pictute down
Answer:
Option D
Step-by-step explanation:
Given the following question:
Airline makes $98,410
Truck driver makes $38,200
Annually means in a year so the airline makes $98,410 and the truck driver makes $38,200 in a year.
Now in order to find the amount the two make in 20 years we have to multiply:
[tex]98410\times20=1968200[/tex]
[tex]38200\times20=764000[/tex]
Now since the question asks "how much MORE" does the airline make we have to subtract:
[tex]1968200-764000=1204200[/tex]
[tex]=1204200[/tex]
The airline makes "$1,204,200 more dollars" than the truck driver, or option D.
Hope this helps.
Answer:
The answer is either D or B
Step-by-step explanation:
98,410 x 20 is 1,968,200 so
it might be closer to D or B instead.
Sorry if this is wrong.
But If it is right Can I get brainlest pls.
i need help with this math question...what is 5^2+3
Answer:
it is 28
Step-by-step explanation:
all you have to do is find what 5 squared is, which its 25 then add 3 which gives you 28, hope this helps
Answer:
28
Step-by-step explanation:
(5^2)+3
25 + 3
28
y = -3x+5
which of the following equations would create a system of equations with INFINITE SOLUTIONS?
A.y=5+ -3x
B.y=5x+3
C.y=3+5x
D.y=1/3x-5
Answer:
A. y=5+ -3x that should be the answer
In the diagram below, FG is parallel to CD. If the length of C D is the same as the
length of FE, CE = 17, and FG = 6, find the length of FE. Figures are not
necessarily drawn to scale. State your answer in simplest radical
Answer: sqrt(102)
Step-by-step explanation:
We know that triangles GFE and DCE are similar by AA.
If we let CD=FE=x, then we can set up a proportion. Namely,
CE/FE = CD/FG
17/x = x/6
x^2 = 102 -> x=sqrt(102)
If g (x) = -x + 2 and d (x) = x 2 + 2, what is d (g(x))?
+
I don't understand the question.
Answer:
Distribution means to spread the product throughout the marketplace such that alarmed number of people can buy it.
Write the equation of a line perpendicular to the
graph of y = -2x + 2 and passing through the
point (2, 1).
Answer:
y=(1/2)x +0
Step-by-step explanation:
The perpendicular slope formula is just the opposite reciprocal of the original slope.
What is the solution to this equation?
−4(2m − 7) = 3(52 − 4m)
Answer:
m = 32
Step-by-step explanation:
-4(2m-7) = 3(52 - 4m)
-8m + 28 = 156 - 12m
-8m + 12m = 156 - 28
4m = 128
m = 32 Ans...
The required solution is m = 32 to the given equation −4(2m − 7) = 3(52 − 4m).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given an equation as
⇒ -4(2m-7) = 3(52 - 4m)
Apply the distributive of multiplication,
⇒ -8m + 28 = 156 - 12m
Rearrange the terms of m in the above equation,
⇒ -8m + 12m = 156 - 28
Apply the subtraction operation,
⇒ 4m = 128
Divided by 4 both sides of the equation, we get
⇒ m = 32
Therefore, the solution is m = 32 to the given equation −4(2m − 7) = 3(52 − 4m).
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Someone please help me with this I can’t get it wrong
Answer:
a = 7
Step-by-step explanation:
Using the Cosine rule in the triangle
a² = b² + c² - (2bc cosA )
= 2² + (5[tex]\sqrt{3}[/tex] )² - (2 × 2 × 5[tex]\sqrt{3}[/tex] × cos30° )
= 4 + 75 - (20[tex]\sqrt{3}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ← exact value of cos30°
= 79 - ( 10 × 3)
= 79 - 30
= 49 ( take square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
Answer:
a = 7
Step-by-step explanation:
a² = b² + c² - 2bc × cos α
a² = 2² + ( 5√3 )² - 2 × 2 × 5√3 × [tex]\frac{\sqrt{3} }{2}[/tex]
a² = 49
a = 7
If the discriminant is zero how many solutions are there:.
only one question today
Answer:
c) Solve for the second equation for y and then substitute this value int the first equation.
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
always choose the equation where the variable is alone.
second equation has a lone 'y' and all that needs to be done is subtracting 2x from both sides of equal sign.
2: Write an equation for the line in slope-intercept form.
Answer:
Step-by-step explanation: The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
5.6 Apprentice Homework
1. What fraction of the big rectangle does the
small rectangle represent? Explain your
reasoning.
v
Answer:
1. 1/4
2. 1/2
Step-by-step explanation:
1. Without measuring I can't be 100% sure, but it looks like the smaller rectangle is 1/4 of the big rectangle, as the side lengths of the smaller rectangle are half those of the big rectangle.
2. If he delivered 3/8 of his newspapers in the first hour, then he had:
1 - 3/8 = 5/8 of his newspapers left to deliver after the first hour.
If he delivered 4/5 of the remaining newspapers in the second hour:
4/5 ths of 5/8 = 4/5 x 5/8 = 20/40 = 1/2
He delivered 1/2 of all the newspapers in the second hour
solve the following inequality
Answer:
X>30
Step-by-step explanation:
you add 9 to both sides to get X by itself, then add 9+21 and get 30. That’s the answer
Find the Perimeter of the figure below, composed of a rectangle and a semicircle.
Round to the nearest tenths place.
Answer:
53.7
Step-by-step explanation:
Rectangle: lenth = 14, width = 2 * 5 = 10
perimeter of reactangle (3 sides) = 14 + 10 + 14 = 38
perimeter of semicircle = π * 5 = 3.14 * 5 = 15.7
Total perimeter = 38 + 15.7 = 53.7
Answer:
Step-by-step explanation:
Rectangle:
Length = 14 units
Width = diameter of the semicircle = 2*5 = 10 units
Circumference of circle = πr = 3.14 * 5 = 15.7 units
Perimeter of the figure = 14 + 10 + 14 + 15.7 = 53.7 units
When solving an ______, use inverse operations to undo the operations.
1/2x + 3/4x = 5 - 2.5x
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. A car was purchased 6 years ago for $25,000. If the annual depreciation rate is 11%, which equation can be used to determine the approximate current value of the car?.
The equation which is used to determine the approximate current value of the car by the depreciation equation is,
[tex]y=25000(0.89)^6[/tex]
What is depreciation?Depreciation is to decrease in the value of a product in a period of time. This can be given as,
[tex]y=A\left(1-{r}\right)^t[/tex]
Here,(y) is the current value, (A) is the original cost of the product, (r) is the rate of depreciation and (t) is the number of years.
Now the car was purchased 6 years ago. The original cost of the car is $25,000 and the annual depreciation rate is 11%.
The rate can be given as,
[tex]r=\dfrac{11}{100}\\r=0.11[/tex]
Thus, to find the equation can be used to determine the approximate current value of the car, put the values in the above formula as,
[tex]y=(25000)\left(1-{0.11}\right)^6\\y=25000(0.89)^6[/tex]
Hence, the equation which is used to determine the approximate current value of the car by the depreciation equation is,
[tex]y=25000(0.89)^6[/tex]
Learn more about the depreciation here;
https://brainly.com/question/25297296
Answer:
A
Step-by-step explanation:
y=25,000(0.89)^6
Which statements are accurate about the dilation? Check all that apply. The dilation is a reduction. The scale factor is between 0 and 1. A is the image of A' Point O is the center of dilation. OB = BB'.
Answer:
A,B,D
Step-by-step explanation:
Trust me just did it on edge
Answer:
A, B, D is your answer...
Step-by-step explanation:
There is a bag filled with 2 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
.753
Step-by-step explanation:
Let Ps = probability both marbles are the same color.
Let Pd = probability both marbles are a different color.
Pd = 1 -Ps
Let Pb = probability both marbles are blue
Let Pr = probability both marbles are red.
Let Pg = probability both marbles are green
Pb= 2/9 * 1/9 = 2/81
Pr= 4/9 * 3/9 = 12/81
Pg=.3/9 * 2/9= 6/81
Ps = Pb + Pr +Pg= 20/81
Pd =1-Ps= 61/81 = .753
Is this correct?
Please help me with this please and thank you please actually help me
Answer:
-5, -8, and -11
Step-by-step explanation:
We can see it is becoming negative so, it is going -3.
.It makes sense to measure the number of students in a class in partial quantities.
True or False
what is the resolution war about?
Answer:
The War Powers Resolution requires the president to notify Congress within 48 hours of committing armed forces to military action and forbids armed forces from remaining for more than 60 days, with a further 30-day withdrawal period, without congressional authorization for use of military force (AUMF) or a declaration ...Step-by-step explanation:
help plssssss
hsjehwhabsb
um i cant see it clearly
A bag contains 16 blue marbles, 12 red marbles, and 12 green marbles. If Malik randomly draws a marble from the bag (and puts it back) 25 times, how many times should he expect to pull a blue marble? Enter your answer as a number, like this: 42
The expected number of times he picks a blue marble is the mean of the blue marbles
Malik should expect to pick a blue marble 10 times when he picks 25 marbles
How to determine the expected timesThe given parameters are:
Blue = 16
Red = 12
Green = 12
The total number of marbles is:
Total = 16 + 12 + 12
So, we have:
Total = 40
When he picks 25 marbles, the expected number of blue marble is:
Expected = Blue/Total * 25
So, we have:
Expected = 16/40 * 25
Evaluate the product
Expected = 10
Hence, he should expect to pick a blue marble 10 times when he picks 25 marbles
Read more about expected values at:
https://brainly.com/question/15858152
