Answer: To solve this problem, we can use the Pythagorean theorem. Let's call the depth of the treasure "d".
We can create a right triangle with the following sides:
The sensor on the boat is at the top of the triangle and is 200 meters away from the treasure diagonally.
The line from the sensor to the treasure, which we can call "x", is at a 25-degree angle from the surface of the water.
The line from the treasure to the ocean floor, which we can call "d", is perpendicular to the surface of the water.
Since we know that the angle of depression is 25 degrees, we can use tangent to find the length of x.
tan(25) = x/d
x = d * tan(25)
Now, we have two sides of a right triangle and can use the Pythagorean theorem to find d:
x^2 + d^2 = 200^2
d^2 = 200^2 - x^2
d^2 = 200^2 - (d * tan(25))^2
Solving for d, we find that d = 174.59 meters. Rounding to the nearest tenth of a meter, we get d = 174.6 meters.
Step-by-step explanation:
the diagram shows two lighthouse a and b and a port p
a) The position of boat is shown by red point.
b) About 78 degree should the boat sail on to enter the port.
What is Angle?A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.
Given:
From point 'a', measure around 340 degrees bearing and then put the line there.
Then, from point 'b' measure around 245 degrees when measuring north.
The position of boat is shown by red point.
b) About 78 degree should the boat sail on to enter the port.
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The question attached here is seems to be incomplete and inappropriate The complete question is attached below.
The diagram shows two lighthouses A and B and a port P
A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.
a) Mark, with a cross, the position of the boat on the map.
b) What bearing should the boat sail on to enter the port?
In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?
A. 88°
B. 90°
C. 99°
D. 100°
Answer:C
Step-by-step explanation:
interior angles of a triangle, when added, = 180
so < A + < B + < C = 180
41 + 90 + < C = 180
131 + < C = 180
< C = 180 - 131
< C = 49
< C + < D + < E = 180.....because when added they form a line
49 + 32 + < E = 180
81 + < E = 180
< E = 180 - 81
< E = 99 <======
Explore all similar answers
Find the inverse of the following functions?
Y=x^2+2
Therefore, the inverse of the function y = x^2 + 2 is: y = ±√(x - 2)
To find the inverse of the function y = x^2 + 2, we need to switch the roles of x and y, and then solve for y.
Step 1: Write the function with x and y swapped:
x = y^2 + 2
Step 2: Solve for y. To do this, we'll need to isolate the y variable on one side of the equation. We can start by subtracting 2 from both sides:
x - 2 = y^2
Step 3: Take the square root of both sides. When we do this, we'll need to include both the positive and negative square root, since a square can have two possible roots:
±√(x - 2) = y
Step 4: Simplify the answer by using the ± symbol to show that there are two possible inverses:
y = ±√(x - 2)
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what minus 2/3 = 5/7
Two friends shop for fresh fruit. Jackson buys a watermelon for $8.45 and 5 pounds of cherries. Tim buys a pineapple for $3.35 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
The difference of the amounts spent by Jackson and Tim is given by the following expression:
p - 5.10.
How to model the situation?Considering p as the price per pound of cherries, the expression for Jackson is given as follows:
J(p) = 8.45 + 5p.
Tim buys a pineapple for $3.35 and 4 pounds of cherries, hence the expression is given as follows:
T(p) = 3.35 + 4p.
Then the difference is given as follows:
J(p) - T(p) = 8.45 + 5p - (3.35 + 4p)
J(p) - T(p) = 8.45 + 5p - 3.35 - 4p
J(p) - T(p) = p - 5.10.
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What is monomial representations and symmetric presentations?
Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).
Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.
Step-by-step explanation:
A highway camera films cars daily as they pass by. Over a
two-month period, the camera shows that 16% of the cars that
pass by are silver. If 50 cars are selected at random on one
day, which is the expected number of cars which are a color
other than silver?
A
B
C
D
8 cars
16 cars
34 cars
42 cars
The expected number of cars that are a color other than silver is 42 cars.
Option D is the correct answer.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
If 16% of the cars passing by are silver, then the percentage of cars that are not silver.
= 100% - 16%
= 84%.
If 50 cars are selected at random on one day, the expected number of cars that are a color other than silver is equal to the total number of cars (50) multiplied by the percentage of cars that are not silver (84%).
= 50 x 84%
= 50 x 0.84
= 42 cars
Therefore,
The expected number of cars that are a color other than silver is 42 cars.
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how do ya do this inverse thingy
-2+7c=40
Answer:
c = 6
Step-by-step explanation:
-2+7c = 40
=>add 2 to the both sides
7c = 42
=>divide both sides by 7
c = 6
Answer:
c=6
Step-by-step explanation:
-2+7c=40
so if your 2 is negative we want to make it equal 0 so add 2 and we have to do that on the other side of the =
We now have 7c=42
now we want the c to be alone so we do 42/7
our final answer is c=6
i hope that helps explain the process
Melanie’s bedroom walls are 45% painted.The area of her walls totals 420 square feet.How many square feet of Melanie’s walls still need to be painted?
Melanie’s walls still needs to be painted is 231 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, Melanie’s bedroom walls are 45% painted.
The area of her walls totals 420 square feet.
The area of wall painted
=45% of 420
= 45/100 ×420
= 0.45×420
= 189 square feet
Remaining area = 420-189
= 231 square feet
Therefore, Melanie’s walls still needs to be painted is 231 square feet.
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Someone please help it’s an emergency!!
Answer:
-3
Step-by-step explanation:
Look at x. Go right until you see 3. Now look below to see what y is.
When x is 3, y is -3.
growth or decay
0.27
Answer:
The answer to this question is DECAY!
Step-by-step explanation:
this is decay because the decimal is below one if it was above one this would be growth.
good luck!
what is v64 + 36 smplified
Answer: D.) 14
Step-by-step explanation:
First, you first calculate the square root of 64 , this gives you 8
Next, you calculate the square root of 36, which gives you 6
Then, since you are asked to add the two, you add 8 + 6 since this is the simplified version of the original equation.
8 + 6 = 14
Therefore, your answer is D.) 14
what is the answer to –56/y − 11 ≤ –28
The inequality equation is 0 < y ≤ 56/17
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( -56 / y ) - 11 ≤ -28 be equation (1)
On simplifying the equation , we get
Adding 11 on both sides of the equation , we get
-56 / y ≤ -17
On further simplification , we get
( -56 + 17y ) / y ≤ 0
Therefore , the inequality equation is 0 < y ≤ 56/17
Hence , the inequality is 0 < y ≤ 56/17
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Nakeisha is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Nakeisha have to choose from?
Answer:36
Step-by-step explanation: 2x6x3=36
Nakeisha has 36 different outfits to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1[/tex] ,[tex]n_2[/tex] , [tex]n_3[/tex], ..... [tex]n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
N= [tex]n_1[/tex] x [tex]n_2[/tex] x [tex]n_3[/tex] x.....x [tex]n_n[/tex]
Given:
We have 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes.
For the pants we have [tex]n_1[/tex] = 2
For the t-shirts we have [tex]n_2[/tex] = 6
For the shoes we have [tex]n_3[/tex] = 3
Thus, the total number of outfits is given by:
= 2 x 6 x 3
= 36
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Find the ratio of triangles to total shapes in the diagram below.
The ratio of triangles to total shapes is 4:10.
For every two triangles, there are 5 total shapes.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Number of triangles = 4
The number of shapes.
= 4 triangles + 6 squares
= 10
Now,
The ratio of triangles to total shapes.
= 4 : 10
Now,
4 : 10
= 4/10
= 2/5
= 2 : 10
This means,
For every two triangles, there are 5 total shapes.
Thus,
The ratio of triangles to total shapes is 4:10.
For every two triangles, there are 5 total shapes.
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how much usd for 800 yen?
Since, 1 JPY = 0.0077 USD in Jan 27, 2023 08:45 UTC
Therefore, based on above information :
800 Japanese Yen 5.93 US Dollar.
The yen is the official currency of Japan. It is the third most traded currency on the foreign exchange market, after the US dollar (USD) and the euro. It is also widely used as the third key currency after the US dollar and the euro.
After World War II, the yen lost much of its pre-war value. To stabilize the Japanese economy, the yen exchange rate was fixed at 360 yen per US dollar under the Bretton Woods system. When this system was abolished in 1971, the yen was devalued and became liquid. After peaking at 271 yen per dollar in 1973, the yen appreciated to 271 yen per dollar due to the oil crisis in 1973, reaching 227 yen per dollar in 1980.
Another option is to do the calculations manually using simple mathematical formulas. However, for this you need to know the current exchange rate. As of this writing, one yen is worth $0.007.
Once you know this information, multiply the amount in JPY by the current exchange rate.
The resulting number shows how much you need to spend on your trip in US dollars.
Manual Currency Conversion Example
Suppose you have 100,000 yen and want to calculate how much money you will need to travel to the United States. Using the current exchange rate, the conversion formula would be
100,000 yen x 0.007 = $700
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solve by using substitution
write it as a point
show work
The solution of the equations -4x-2y= -12 and 4x+8y= -24 is {6, -6).
Solve by using substitutionThe question above has 2 equation.
Equation I = -4x-2y= -12
Equation II=4x+8y= -24.
Equation I = -4x-2y= -12, replace to 4x= -2y+12
then substituted 4x= -2y+12 into the second equation, namely 4x+8y= -24.
4x+8y= -24
=(-2y+12) +8y= -24
6y+12= -24
6y = -24-12
6y= -36
y = -6
found the value of y is -6.
The next, substitute the value y= -6 into the equation II
4x+8y= -24
4x+8(-6) =-24
4x-48=-24
4x=-24+48
4x=24
x=24/4
x=6
found the value of x is 6.
Therefore the x and y values of those equation in question are 6 and -6.
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How do you convert micrometers to centimeters?
Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.
Here are the steps to convert micrometers to centimeters:
1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.
For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.
So, the conversion formula is:
centimeters = micrometers ÷ 10,000
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In a box of marbles, 25% are blue, 35% are red and the rest are yellow. If there are 112 yellow marbles in the box, how many red marbles are there?
please tell me the whole process, thank you
Answer:
98 red marbles
Step-by-step explanation:
112 yellow marbles is 40% of total. If we divide 112 by 5 then that is 5% of total, which is 14. Since the red marbles is 35% of total we can multiply 14(which is 5% of total) and 7, which gives the answer of 98.
Find the value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval. (enter your answers as a comma-separated list. ).
The value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval is proved.
The mean value theorem for integrals states that if a continuous function f is defined on a closed interval [a, b], then there exists a number c in the interval (a, b) such that the average value of the function over the interval is equal to the value of the function at c.
Mathematically, this can be expressed as:
[tex]\frac{1}{b-a} \int_{a}^{b} f(x) dx = f(c)[/tex]
where c is a number in the interval (a, b) and the integral sign represents the area under the function from a to b.
The mean value theorem for integrals tells us that there is always a point in the interval where the average value of the function is equal to the function's value at that point. However, it does not tell us the value of c. To find the value of c, we need to solve for it in the equation above.
In conclusion, the mean value theorem for integrals is a useful tool for understanding the average value of a function over an interval and finding the value of c where the average value is equal to the function's value at that point.
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what is the answer ?
In the triangle that we have here cos 42 degrees is equal to sin 48
How to solve for the angleThis was simply solved using the calculator
cos 42 = 0.7431
sin 42 = 0.6691
cos 48 = 0.6691
sin 48 = 0.7431
From the above we can see that the value of cos 42 and sin 48 returned the same digits at 0.7431
Hence the value of cos 42 is sin 48 degrees
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In a small forest, a certain species of tenrecs doubles in number every
year. Write a function, f(x), that models the number of tenrecs after X
years if there were originally 698 tenrecs.
The function, f(x), that models the number of tenrecs after x years is f(x) = 698(2)^x
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
Initial value, a = 698
Rate, b = 2 i.e. doubles
Using the above as a guide, we have the following:
f(x) = ab^x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 698(2)^x
Hence, the function is f(x) = 698(2)^x
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Is-39 a solution for the
equation below?
YES or
NO
P/13=3
Answer:
No
Step-by-step explanation:
[tex]\frac{p}{13}[/tex] = 3 ( multiply both sides by 13 to clear the fraction )
p = 13 × 3 = 39
then p = 39 is the solution not p = - 39
[tex] \frac{p}{13} = 3[/tex]
[tex]p = 13 \times 3[/tex]
[tex] = 39[/tex]
Let's solve it first by Method 2 (Systematic Method) :-[tex] \frac{p}{13} = 3[/tex]
[tex] \frac{p}{13} \times 3 = 3 \times 13[/tex]
If we cancel 13 from LHS and RHS both sides[tex] \frac{p}{39} = 3[/tex]
[tex]p = 13 \times 3 \\ = 39[/tex]
[tex]\textbf{\textcolor{red}{Thank you!}}[/tex]
What is binomial distribution table ?
Answer:
Step-by-step explanation:
A binomial distribution table is a table that lists the probabilities of obtaining a specific number of success outcomes in a fixed number of independent trials, given a constant probability of success in each trial. The binomial distribution is a discrete probability distribution that describes the number of success outcomes in a fixed number of independent trials with a binary outcome (success or failure).
The table lists the probabilities of obtaining k successes in n trials, where k is a non-negative integer and n is a positive integer. The probabilities are calculated using the binomial formula, which is given by:
P(k successes in n trials) = (n choose k) * p^k * (1 - p)^(n-k)
where (n choose k) is the number of ways to choose k success outcomes from n trials, p is the probability of success in each trial, and (1 - p) is the probability of failure in each trial.
Binomial distribution tables are useful for solving problems related to counting and probability, especially in situations where the number of trials is fixed and the probability of success is constant. They can also be used for hypothesis testing, calculating confidence intervals, and estimating population proportions in statistical applications.
Joan bought 5 yards of fabric for $2.85 a yard, including tax. Which expression will find the change John received if she gave the cashier $50
The solution is, the change John received if she gave the cashier $50 is,
$50 - ($2.85 * 5)
=$50 - $ 14.25
=$ 35.75 , the required expression.
What is Subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Joan bought 5 yards of fabric for $2.85 a yard, including tax.
i.e. he spend = $2.85 * 5
= $14.25
so, the change John received if she gave the cashier $50 is,
$50 - ($2.85 * 5)
=$50 - $ 14.25
=$ 35.75
Hence, The solution is, the change John received if she gave the cashier $50 is,
$50 - ($2.85 * 5)
=$50 - $ 14.25
=$ 35.75 , the required expression.
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Use the slope formula to find the slope of the line that travels through the given points (4, 4) and (5, 3)
Answer:
The slope of the line that travels through the points (4, 4) and (5, 3) is -1.
Step-by-step explanation:
The slope formula is:
m = (y2 - y1) / (x2 - x1)
where m is the slope of the line, (x1, y1) and (x2, y2) are the given points. Plugging in the values for (4, 4) and (5, 3):
m = (3 - 4) / (5 - 4)
m = -1 / 1
m = -1
The slope of the line that travels through the points (4, 4) and (5, 3) is -1.
Using your calculator, determine the value
of the car in 2020.
y = 20,000(0.85) ¹0
(Be careful rounding)
Answer: $7,291.14
Step-by-step explanation: To calculate the value of the car in 2020, you can use the formula y = 20,000(0.85)^10.
Here, y represents the value of the car in 2020, 20,000 is the initial value of the car, and 0.85 is the depreciation rate. The exponent 10 represents the number of years that have passed, so the formula calculates the value of the car after 10 years by multiplying the initial value by the depreciation rate raised to the power of 10.
To perform this calculation, you can calculate 0.85^10 first, and then multiply that result by 20,000:
0.85^10 = (0.85)(0.85)(0.85)...(0.85) (10 times)
= 0.364569708
y = 20,000 * 0.364569708
= 7,291. 139416
So the value of the car in 2020 would be approximately $7,291.14.
Seventy-four students came to the school dance. About 1/9
of the
students bought their tickets ahead of time. Approximately how many
students purchased their tickets ahead of time?
Mr. Carter gives a 30 point quiz.
cody scored 8 points less than twice
of what Erica Scored, the sum of
Codys and Ericas score was 37,
how many points did each student
Score?
The points scored by Cody will be 22 and by Erica be 15.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that Mr Carter administers a 30-point test. Cody scored 8 points less than Erica, and the total of Cody and Erica's scores was 37.
The two equations can be written as:-
C = 2E - 8
C + E = 37
2E - 8 + E = 37
3E = 45
E = 45 /3
E = 15
C = 30 - 8
C = 22
Therefore, Cody will score 22 points, while Erica will score 15.
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You bought a pair of shoes for $36. If their original price was $84, what percent of the original price did you pay?
Set up a proportion to help you solve this problem
Solve the proportion.
Answer:
43%
Step-by-step explanation:
Something to do with msth not sure js smart wnough to guess it but trust me thats the answer