Answer:
32.0054
Step-by-step explanation:
i think
The angle of depression is approximately 32.01 degrees.
To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.
Steps to solve:
Let θ be the angle of depression.The height of the lighthouse (opposite side) is 250 feet.The distance from the lighthouse to the boat (adjacent side) is 400 feet.Use the tangent function: tan(θ) = opposite / adjacent.Substitute the values: tan(θ) = 250 / 400.Simplify the fraction: tan(θ) = 0.625.Find the angle by taking the arctangent: θ = [tex]tan^{-1}[/tex](0.625).The result is approximately: θ ≈ 32.01 degrees.Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.
Multiply.
Your answer should be a monomial in standard form.
(Y^8)(-2y²) =
[tex]( {y}^{8} )( - 2 {y}^{2} ) = - 2 {y}^{10} [/tex]
To multiply the monomials (Y⁸)(-2y²), add the exponents and multiply the coefficients resulting in -2y¹⁰.
To multiply the given monomials (Y⁸)(-2y²), we use the laws of exponents which state that when multiplying like bases, we add the exponents. The coefficient -2 multiplies by 1 (the implied coefficient of Y⁸) to remain -2. The new exponent for 'y' is the sum of 8 and 2, which is 10. So, the product in standard form is -2y¹⁰.
Step by step solution:
Identify like bases, which in this case is 'y'.Add the exponents of 'y' (8 from Y^8 and 2 from y²) to get a new exponent of 10.Multiply the coefficients (1 and -2) to get -2.Write the final answer combining the new coefficient and the new exponent of 'y': -2y¹⁰.Plz help don’t have enough time
Answer: The first answer is the right one (1.25 + 0.75g is less than or equal to 20)
Step-by-step explanation:
He can’t spend more than 20 right, so his full cost of the shoes and game has to be less than (or equal to) the amount he has, which is 20.
Answer:
i say A
Step-by-step explanation:
because he has $20 and it has to be either less than or equal to 20 in order to play games
What is the volume of the rectangular prism? show all work please
Answer:
V= Ab x h
= l x w x h
= 10.4mm × 5mm × 8mm
= 416 mm³
Answer:
416mm
Step-by-step explanation:
V=Bh
B=10.4*5=52
h=8
52*8=416
The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?
-3 is greater than -11, so it was colder in Milwaukee.
-11 is greater than -3, so it was colder in Milwaukee.
-3 is greater than -11, so it was colder in Chicago.
-11 is greater than -3, so it was colder in Chicago.
Answer:
-11 is greater than -3, so it was colder in Milwaukee.
Step-by-step explanation:
-11 is greater than -3, so it was colder in Milwaukee. because -11 is less than -3 because it is more to the left which makes it less
A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard deviation of three months. The distribution is approximately normal. One production run of batteries in the factory was 25,000 batteries. How many of those batteries can be expected to last between three years and one month and three years and seven months?
Answer:
17000 batteries
Step-by-step explanation:
Three years and one month is equivalent to the mean minus one standard deviation.
Three years and seven months is equivalent to the mean plus one standard deviation.
For a normal distribution, we know that 68% of population is between mean ± 1 sd, then can be expected that 25000*68% = 17000 of batteries last between three years and one month and three years and seven months
Point A is at (-2,-7) and point B is at (7,4).
What is the midpoint of line segment AB?
The coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Coordinates of A are (-2,-7),
Coordinates of B are (7, 4),
M is the midpoint of AB which is given in the question
So the coordinates of M as:
⇒ M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Substitute the values, and we get
⇒ M = ((-2 + 7)/2, ( -7 + 4)/2)
⇒ M = ((5)/2, ( -3)/2)
⇒ M = (5/2, -3/2)
Therefore, the coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
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Drew’s dog weighs 24 lb 5 oz. How many ounces does drew’s dog weigh?
Answer:
Step-by-step explanation:
It weighs 389 pounds so the answer would be C.
A rectangular board has an area of A square inches. The width of the board
is 12 inches. Which equation represents x, the length of the board in inches?
Answer:
A=12x
Step-by-step explanation:
The equation for a rectangle is A=lw
So if you plug in your variables then you would have A=12x
Number eight, graph each question
Answer:
(1,3)
Step-by-step explanation:
x would be counted as (1,1) therefore, moving 1 number to the right, and 1 number up.
A sphere has a radius of 3 ft. What is the volume of the sphere? Give the exact value in terms of Pi.
Answer: 36π
Step-by-step explanation:
equation
V= 4/3(pi)r^3
Please help!! :) Cant solve it on paper currently since its late and just doing it online.
Answer:
14.4 in
Step-by-step explanation:
Using the formula of the Pythagorean theorem, a² + b² = c², we can find the length of the missing side.
a = 8
b = 12
c = ?
8² + 12² = 208
To get your answer, you must take the square root of 208.
√208 = 14.4222051
COMPLETE
log798= ? ________________________
Answer:
2.90200289135
Step-by-step explanation:
i used a calculator and it gave me 2.90200289135 round it if you need.
Which value is equivalent to 2 x 3 + 4 -
6^2?
A. -26
B. -22
C. -2
D. 10
On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is at (8, negative 1), and point D is at (negative 2, negative 11). Create a rectangle around the parallelogram. The dimensions of this rectangle are ____(1). Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is _____(2) square units. Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is ______(3) square units.
Answer: HOPE THIS HELPSS!!! please mark me brainliestt
11 by 20
110
110
Answer:
just wanted to say hi
Step-by-step explanation:
Plz give 5 star
which function will add the same number each time
A linear function adds the same number each time. It has a constant rate of change which means it adds or subtracts a certain amount at each step. An example of this would be the equation y = 3x + 2.
Explanation:The function described in the question which will add the same number each time is called a linear function. In mathematics, a linear function is a function that has a constant rate of change. This means that it adds or subtracts the same amount each time. For example, the equation y = 3x + 2 is a linear function. Every time you increase x by 1, y will increase by 3. Similarly, each time you decrease x by 1, y will decrease by 3. This is because the slope of a linear function is constant, indicating a consistent rate of change.
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Write 6,020,300 in expanded form.
Answer:
6,000,000 + 20,000 + 300
Step-by-step explanation:
-10° i need help pleaseeee
At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow is 35 feet long.
On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money did Ken have before bought the game
Answer:
the anser is 40.0000001
Connie collected 50 seashells during her 5-day vacation. Each day she collected 3 more than the previous day. How many seashells did she find each day? PLEASE HELP!
Answer:
The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Step-by-step explanation:
This is a question that deals with consecutive numbers.
Let x represent the number of seashells collected on her first day.
Given that she collected 3 more each day, then
On day 2, she collected x + 3
On day 3, she collected x + 6
On day 4, she collected x + 9
On day 5, she collected x + 12
Adding up the above will give the number of sea shells collected on day 1;
i.e.
x + x + 3 + x + 6 + x + 9 + x + 12 = 50
Collect like terms
x + x + x + x + x + 3 + 6 + 9 + 12 = 50
5x + 30 = 50
5x = 50 - 30
5x = 20
Multiply ⅕ to both sides
⅕ * 5x = ⅕ * 20
x = 4.
This mean that she found 4 seashells on day 1;
Recall that day 2 = x + 3
So, day 2 = 4 + 3 = 7 seashells
day 3 = x + 6
day 3 = 4 + 6 = 10 seashells
day 4 = x + 9
day 4 = 4 + 9 = 13 seashells
day 5 = x + 12
day 5 = 4 + 13 = 16 seashells
Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Help me please
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Answer:
2
Step-by-step explanation:
The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.
A quadratic is of degree 2 and has 2 roots.
Write an equivalent
expression for
88 + 16x + 8
Answer:
16x + 96
Step-by-step explanation:
You can add 88 + 8 for and get the same answer
Answer: 16x+8+88
Step-by-step explanation:
All you need to do is move around the numbers and then you get the answer
Express in scientific notation. 0.0872
Answer:
8.72 x 10^-2
Step-by-step explanation:
- Electricity City increases the price of televisions by 25%. If a television now sells for
$425, what was the original price?
Answer:
340
Step-by-step explanation:
Let x = original price
We increase by 25%
x+x*25% = new price
Change to decimal form
x+.25x = new price
Factor out the x
x(1+.25) = new price
x(1.25) = new price
x(1.25) = 425
Divide each side by 1.25
x = 425/1.25
x =340
The original price is 340
Write the following equation in slope-intercept form: 4x – 5y = 15.
Answer:
y = (4/5)x - 3
Step-by-step explanation:
slope intercept form: y = mx + b
Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:
4x - 5y = 15
4x (-4x) - 5y = 15 (-4x)
-5y = -4x + 15
Next, divide -5 from both sides:
(-5y)/-5 = (-4x + 15)/-5
y = (-4x + 15)/-5
Simplify Divide -5 from all terms within the parenthesis:
y = (4/5)x - 3
y = (4/5)x - 3 is your answer.
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Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points) square root of 7 blank 14 over 5 Group of answer choices < > = ≈
Answer is <
Step-by-step explanation:
To compare the square root of 7 and 14 over 5, we find their approximate values. Since 2.65 (root 7) is less than 2.8 (14/5), the correct mathematical symbol to use is <.
Explanation:The question asks us to compare two real numbers: the square root of 7 and 14 over 5. First, we need to estimate these numbers. The square root of 7 is approximately 2.65. 14 divided by 5 equals 2.8. Therefore, we can say that 2.65 is less than 2.8. As such, the mathematical symbol that should be used is < which means 'less than'.
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What is the simplified expression for the expression below
18/x=-2
what number does x represent
Answer:
9
Step-by-step explanation:
18/x = 2
or, 18 = 2x
or, 18/2 = x
or, 9 = x
ans ; x = 9
A town with a population of approximately 20,530 people is planning to build a new park. The town government is trying to find out what entertainment options citizens would prefer the park to include and plans to survey people running the trail in the existing park over a period of a month.
Answer:
Step-by-step explanation:
Solve 2x² -9x-5=0 by factoring. what is the
Solution?
Answer:
0
Step-by-step explanation: