A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answers
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
Related Questions
Which expression represents the area of the square?
A: 4.4
B:2+4
C:2.4
Or C: 4+ 4 help pls?
Answers
Answer:ik i am late but it is 4.4 for the people that need it now
Step-by-step explanation:
Jay pays $2.45 for 4 magazines. He later pays $3.75 for 6 magazines. Is the price proportional to the number of magazines? Explain
Answers
Answer:
No, It is not.
Step-by-step explanation:
Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)
[tex]2.45 \div 4\\\\= 0.6125[/tex]
Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)
[tex]0.6125 \times 6\\\\= 3.675[/tex]
Therefore, these two prices are not proportional.
how do i find the unit rate?
Answers
Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)
Answers
Answer:
C.372
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases.
A triangular prism has two triangular bases and three rectangle.
From the net attached:
Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12 cm = 60 cm²
Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²
Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²
Which of the following is equal to tan O using coordinates on the unit circle?
A) y/x
B) y
C) x/y
D) x
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Answer:
A) y/x
Step-by-step explanation:
_____________________
What do I put In the empty boxes .
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4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week
Answers
Answer:
$420
Step-by-step explanation:
Divide to isolate the cost
240 / 4 = 60 - amount per person (for 4 people)
60 / 5 = 12 - amount per person per day (5 days)
Multiply using that cost and new values.
12 x 5 = 60
60 x 7 = 420
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answers
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
If 5x + 2 = 17, then 12x =____?
Answers
36
Step-by-step explanation:
5x is 15
x is 3
12 times 3 is 36
Answer:
5x + 2 = 17
5x = 17 - 2
5x = 15
x = 3
Therfore, 12x = 12 (3) = 36
There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.
Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
Answers
Answer:
Step-by-step explanation:
The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is
x + y = 15
Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is
9x + 12y = 150
Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.
What exactly is a root of a logarithmic function again?
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Answer:
Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.
Evaluate the following expression if a=3 and b=4.5. 5a-2b=?
Answers
Answer:
6
Step-by-step explanation:
Replace the variables.
5(3) - 2(4.5) = ?
15 - 9 = ?
15 - 9 = 6
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answers
Answer:
Both are false.
Step-by-step explanation:
Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=
Answers
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17
does anybody know how to solve this problem?
Answers
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
please help this is due soon
Answers
Answer:
-3
Step-by-step explanation:
The number 4 is the plotted point on the y-axis, meaning the next point would be located down 3 and right 1 (-3 over 1) and so on. The rise over run is the m in y=mx+b.
what are some good notes I can use to study for my algebra exam tomorrow?
Answers
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
someone please help me!!!!!!
Answers
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
Mary and her dad shared one dozen brownies 2/6 of them have nuts which dad dosent 4 eat how many brownies did dad not eat because they had nuts
Answers
Answer:
4
Step-by-step explanation:
Number of brownies = 1 dozen
1 dozen = 12
Fraction of brownies that had nut = 2 /6
Hence, Number of brownies dad doesn't eat :
Fraction that had nuts * number of brownies
2/6 * 12
1/3 * 12
= 4
find values that complete the square, pls help these are the last questions :(
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picture for proof
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answers
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answers
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
2. A guy wire is attached to the top of a radio tower to help support it. The tower
is 72 feet tall and the wire is attached to the ground 50 feet from the midline of
the tower. Find the length of the guy wire to the nearest foot.
Answers
14) When did the high temperature occur?
Please help
Answers
Answer:
D; 15
Step-by-step explanation:
Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answers
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
CD is the Diameter. The measure of Arc CD is lle Find the length of the radius in the circle.
Answers
Answer:
The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.
Answer:
5.5
Step-by-step explanation:
diameter=11
radius = diameter÷2
r=11÷2
radius=5.5
Megan runs a bakery in which she can sell cakes for $12.95. Write a function for the amount of profit, in dollars, she makes for selling n amount of cakes.
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hope this helps !!
hey! i’ll give brainliest please help
Answers
Explanation: A simple sentence consists of only one clause, with a single subject and predicate.
Find the lengths of a square having area 676cm2
Answers
Area = ( lengths )^2
676 = ( lengths )^2
lengths = √676
lengths = 26 cm
the model below can be used to find the quotient of 1/2 divided by 1/4 what's the quotient
Answers
Answer:
2
Step-by-step explanation:
You would make 1/4 into 4/1 and then you would multiply 1/2 by 4/1 to get 4/2 which is equal to 2
1/2 * 4/1 = 4/2 = 2
1 * 4 = 4
2 * 1 = 2