As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
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Which equation has a solution of 34 for y?
Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4
Answer:
The answer is I don't know
Which of the following statements is true?
The range is the set of all input values and is the independent variable.
The domain is the dependent variable and is determined by the range.
The independent variable varies as the dependent variable varies
The independent variable is the input value
Answer:
TRUE
TRUE
FALSE
FALSE
TRUE
Answer:
first one is true
Step-by-step explanation:
Guys this is the last question for the day please help me out.
Answer:
So it's 350 - D - B.
And 350 - A - D.
Hope that helped?
what is 5.56 s divided by 6.42 S
Answer:
0.86
step by step explain:
first you want to get a calculator and you want to put in 5.56 divide 6.42
Answer:
= 0.866
Step-by-step explanation:
By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.
Then we have the equation: 556 ÷ 642 = 0.866
and therefore: 5.56 ÷ 6.42 = 0.866
both calculated to three decimal places.
Equation:
The actual equation is attached below as an attachment.
Message:
Hope this helps! I am not the best at math, so sorry if I got it wrong.
WILL GIVE BRAINIEST IF CORRECT
Answer:
$32.41
Step-by-step explanation:
Given that:
Amount of pork bought by Jeff = 1.5 pounds
Amount of beef bought by Jeff = 2.5 pounds
Amount of chicken bought by Jeff = 2.5 pounds
Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.
Cost of pork for 1.5 pounds = 1.5 3.64 = $5.46
Cost of beef for 2.5 pounds = 2.5 5.99 = $14.975
Cost of chicken for 2.5 pounds = 2.5 4.79 = $11.975
Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41
Does any one mind helping me on this question I have struggle solving it
-1=0
0.5=4.5
3=3.1
this is the answer
As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
Answer:jjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjj
jjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Felipe swam 29 kilometers to an island. Then he swam 19 kilometers to a boat. How far did he swim in all?
48 kilometers
29 + 19 = 48
hope this is helpful!
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4? (1 point)
Answer:
Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:
f(x) = 3x4 − 5x3 − x2 − 8x + 4
Signs are: + - - - +
There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)
For negative roots, we first invert all the odd-powered terms in f(x):
3x4 + 5x3 − x2 + 8x + 4
Signs are: + + - + +
There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.
Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:
2 positive, 2 negative, 0 complex
2 positive, 0 negative, 2 complex
0 positive, 2 negative, 2 complex
0 positive, 0 negative, 4 complex.
Therefore we can have either 0, 2, or 4 complex roots.
The correct answer is the last choice.
5/6+1/4 these are fractions
Kieran buys a car for $8000 The following year he sells the car for $7500
Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500
Loss :
= $ 8.000 – $7.500
= $ 500
then Loss is $500
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52,259 divided by 215 with remainder
Step-by-step explanation:
Hope it will help you...
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
What is the equation of the line that has a slope of 1/5 and a y-intercept of -1
A y = 1/5x — 23/5
B y = 1/5x — 1
C y = 1/5x + 1
D y = 1/5x + 23/5
Answer:
C y = 1/5x - 1
Step-by-step explanation:
Slope intercept form: y = mx + b where m = slope and b = y-intercept.
Substitute into the slope intercept form m= 1/5 and b = -1
y = 1/5x - 1
What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2
If the mean of a data set is 100 and almost all the data is from 40 to 160, what is a good approximation of the variance?
A) 120
B) 20
C) 900
D) 400
E) none of the above
Confused on both 9 and 10 please help
Write as a monomial in standard form
(3x*3y)\x*y
[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]
Answer:
9
Hope you could get an idea from here.
Doubt clarification - use comment section.
Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.
Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)
Answer:
The 2 numbers are 14 and 17.
Step-by-step explanation:
Let the 2 numbers be x and y.
x + 11 = 2y
x - 2y = -11...............A
y +20 = 2x
2x - y = 20 ...............B
Multiply equation A by -2:
-2x + 4y = 22............C
Adding B and C :-
3y = 42
y = 14.
Substitute y = 14 in equation A:
x - 2(14) = -11
x = -11 + 28
x = 17.
There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?
64 + 66 + 68 + 70
hope this helps!
Х
0
1
9
5
29
Y
4
What is the slope of the line?
A 3
B 2
C 5
U UN W
D
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table
m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C
Help me this hard im stuck
Answer:
B, C
Step-by-step explanation:
what is 3/7-7/14 as a fraction
Answer:
-1/14or-0.07
Step-by-step explanation:
3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9 add 9 to both sides of the inequation
9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:
-1 < x and x > -1
Help me with this one please
(2x²+6x-3)+(3x²-8x-6)
[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]
Answer:
3x + 1
——————
2x
Step-by-step explanation:
https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/
it will give you the step by srep explaation
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?
Fd meaning in microsift
Answer:
FD = Forced Deal
It is verified whenever you divide by 0 on a Enigma from 1942.
Answer:
/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
14 sq units
Step-by-step explanation:
square - 4
triangle - 4
secong triangle - 6
4+4+6 = 14 sq units
Answer:
A = 10 sq. units
Step-by-step explanation:
Area of a trapezium is the average of the bases times the height.
Base 1 is 8 units
Base 2 is two units
Average is (8 + 2)/2 = 5 units
A = 5(2) = 10 sq. units
A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?
The average speed in feet per hour will be;
⇒ 942.85 feet per hour
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance = 22 inches
Time = 7 seconds
Now,
Since, A tortoise moves at a speed of 22 inches in 7 seconds.
Hence, Distance = 22/12 feet
And, Time = 7 / 3600
Thus, The average speed = (22/12) / (7/3600)
= 22 × 3600 / 12 × 7
= 942.85 feet per hour
Therefore, The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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