Mediante la ley del seno, la longitud del faro es aproximadamente igual a 8.295 metros.
¿Cómo determinar la longitud del faro mediante leyes trigonométricas?
En esta pregunta nos encontramos con una sistema geométrico con dos ángulos y un lado conocidos, la configuración permite determinar la altura del faro mediante la ley del seno, cuya expresión sería la siguiente:
AC / sin B = AB / sin C = BC / sin A
Donde BC es la longitud del faro, medida en metros, y AC es la distancia horizontal hasta la base del faro, medida en metros. Si sabemos que AC = 9.9 m, B = 53° and A = 42°, entonces la longitud del faro es:
(9.9 m) / sin 53° = BC / sin 42°
BC = 9.9 m × (sin 42° / sin 53°)
BC ≈ 8.295 m
La longitud del faro es aproximadamente igual a 8.295 metros.
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I need an equation that equals 20 like pre algebra
The equation which equals to 20 can be x + y = 20.It can also be f(x) = 5x where x = 4 and many more.
What is a function ?A function behaves like an output or response to an input.The set of all inputs are known as independent variable and the set of all outputs are known as dependent variable.
According to the given question we need an equation that equals to 20.
As the type of equation is not defined we will construct a simple equation known as linear equation in two variables.
So, It can be formed by x + y = 20 this equation has an infinite no. of solutions.Some of them are (1,19), (2,18),.....(19,1).We can also go by negative number and a positive number.
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can anyone help me with this also, thank you sooo sooo much to whoever helps me :)
Given the piece-wise function, the output value of f(7) is 42.
What is the output value of f(7) in the given piece-wise function?A piece-wise function is simply a function built from pieces of different functions over different intervals
Given the piecewise function in the question;
x² - x, x > 5
f(x) = {2/(x-6), x ≤ 5
f(7) = ?To determine the output value of f(7), determine where 7 falls in the given domains of the pieces of the function.
7 falls in the domain of x > 5
Hence,
f(x) = x² - x
Relace all the occurrence of x with 7 and simplify
f(7) = (7)² - 7
f(7) = 49 - 7
f(7) = 42
Given the piece-wise function, the output value of f(7) is 42.
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Help meee
this question
Answer:
1/6
Step-by-step explanation:
I dunno, I put this into a calculator and that's the answer it gave me.
please help with this problem if you can.
The measures of angle ACB and angle ABC are 40° and 63° respectively
How to determine the valueFrom the information given, we have that angle DAB is on a straight line
But angle D is 103°
Remember that angles on a straight line sum up to 180°
Then,
103° + Angle A = 180°
Angle A = 180 - 103
Angle A = 77°
It is important to note that sum of angles in a triangle is 180°
angle ACB + angle ABC + angle CAB = 180°
Where;
angle ACB = 3x - 14angle ABC = 3x + 9angle CAB = 77°Substitute into the formula
3x - 14 + 3x + 9 + 77 = 180
collect like terms
3x + 3x = 180 - 72
6x = 108
Make 'x' the subject
x = 108/6
x = 18
But;
Angle ACB = 3x - 14 = 3(18) - 14 = 54 - 14 = 40°
Angle ABC = 3x + 9 = 3(14) + 9 = 54 + 9 = 63°
Thus, the measures of angle ACB and angle ABC are 40° and 63° respectively.
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If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y=mx+b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b.
Using the above technique, find the equation of the line containing the points (-2,8) and (4,-1)
The equation of the line containing the points (-2,8) and (4,-1) is:
y = -3x/2 + 5
Given data
points (-2,8) and (4,-1)
How to find the equation of the line with the points (-2,8) and (4,-1)From the equation of the straight line y = mx + c
The slope of the line m is solved by
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -1 - 8 ) / ( 4 - -2 )
m = (-9 ) / ( 6 )
m = -3/2
using the point ( 4, -1 ) we find the intercept as
y = mx + c
-1 = -3/2 * 4 + c
-1 = -3 * 2 + c
-1 = -6 + c
-1 + 6 = c
c = 5
Substituting the values of m = -3/2 and c = 5 to the equation y = mx + c gives the equation of the line. This is done as follows
y = mx + c
y = -3/2 * x + 5
y = -3x/2 + 5
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Name
Understand the Commutative
Property of Multiplication
MPModel with Mathematics Kali
arranges quilt squares in 2 rows with
8 squares in each row. Dan arranges quilt
squares in 8 rows with 2 squares in each row.
How many quilt squares does Dan use?
• Draw an array to show the problem.
• Write an equation for your array. How many
quilt squares does Dan use?
The equation of the array is 2 × 8 = 16 . And the Dan uses 16 quilt squares.
What is an Array ?An array is a collection of elements of the same type placed in contiguous memory locations that can be individually referenced by using an index to a unique identifier.
It is given that Kali arranges quilt squares in 2 rows with 8 squares in each row. And, Dan arranges quilt squares in 8 rows with 2 squares in each row.
Row = 'R'
Column = 'C'
Kali's Array :-
▢ ▢ ▢ ▢ ▢ ▢ ▢ ▢
▢ ▢ ▢ ▢ ▢ ▢ ▢ ▢
Equation :
2R × 8C = 16
Dan's Array :-
▢ ▢
▢ ▢
▢ ▢
▢ ▢
▢ ▢
▢ ▢
▢ ▢
▢ ▢
Equation :
8R × 2C = 16
Therefore, Dan uses 16 quilt squares.
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HELP ASAP!!! PLEASE SHOW WORK
A sports equipment manufacturer makes volleyballs for indoor and outdoor play, which bring in $8 and $5 in profit, respectively. Indoor volleyballs take 20 minutes to manufacture while outdoor balls take 10 minutes to manufacture. There are up to 4800 minutes of labor available for the manufacturing process and enough supplies for up to 120 indoor volleyballs and 400 outdoor volleyballs. How many of each type of volleyball should be manufactured to maximize profit?
The of a square is proportional to the length of one side, a square with 10 inches has a perimeter of 40 inches write an equation for the situation, then find the perimeter of a square with a 6 inch side
Step 1: find the constant
Step 2:
Step 3:
Angela wants to practice her sign language for the talent show next month. She decides that she will practice 1.4 hours on a Monday, 212 hours on a Tuesday, and 5 hours on a Saturday. If Angela uses this schedule for 4 weeks, how many hours will she have practiced in total?
If Angela uses this schedule for 4 weeks, she will have practiced for 34.08 hours in total
How many hours will she have practiced in total?The given parameters are:
Monday = 1.4 hours
Tuesday = 2.12 hour
Saturday = 5 hours
Weeks = 4
The total number of hours in a week is
Week = Monday + Tuesday + Saturday
This gives
Week = 1.4 + 2.12 + 5
Evaluate
Week = 8.52
Her plan is for 4 weeks.
So, we have
Total = 8.52 * 4
Evaluate
Total = 34.08
Hence, if Angela uses this schedule for 4 weeks, she will have practiced for 34.08 hours in total
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a coffee company wants a new flavor of Cajun coffee. how many pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound?
24 pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given situation:
A coffee $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound
Now, Let x be the amount of coffee which is $10 per pound
So,
10x + 3(30) = 5(x+30)
10x + 30 = 5x+150
5x + 30 = 150
5x = 120
x = 24 pounds
Hence, 24 pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.
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Simplify the expression, but leave it in exponential form. Two to the fourth divided by two to the seventh
*
1 point
Captionless Image
Two cubed
One divided by two cubed
One eighth
The value of the expression is D. 1/8.
How to solve the expression?The expression is to solve Two to the fourth divided by two to the seventh.
This will be:
= 2⁴ / 2^7
= 16 / 128
= 1/8
Therefore, the correct option is D.
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X₁
From a 24-cm by 24-cm piece of cardboard, square
corners are cut out so that the sides can be folded up
to make a box. Complete parts a through c below.
a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square.
Answer:
V(x) = 4x³ - 96x² + 576xStep-by-step explanation:
Cut out square on each corner has side of x.
When folded up the height of the box becomes same as the side of the cut-out square.
Sides of the base of the box are:
24 - 2x cm as it is folded on both sides.The volume of the box which is the right square prism is:
V = Bh = a²h, where B- base area, a- side of the base, h- height.Substitute the values and find the volume:
V(x) = (24 - 2x)(24 - 2x)x = 4x³ - 96x² + 576xPlease answer the equation in the attachment.
Answer:
18/24 = 3/4 (3/4 is the answer when simplified already)
Hope this helps :)
Explanation below.
Step-by-step explanation:
1. Use the Keep, Change, Flip (KCF) method.
- 2/3 ÷ (- 8/9)
K C F
2. Solve by multiplying numerator and denominator.
- 2/3 × (- 9/8)
= 18/24
3. Simplify if needed by dividing the numerator and denominator by 6.
18/24 = 3/4
2. The population, P, of a village t years after it was founded in 1970, is given by
P(t) = 8000 + 600t.
a) What is the population in 1970?
8000 is the population of village in 1970.
Given that:
The linear equation of the population, P, of a village t years after it was founded in 1970, is given by
P(t) = 8000 + 600t.
To find:
What is the population in 1970 ?
So, according the question
We have,
The population of a village after t years from 1970 in a form of linear equation is,
P(t) = 8000 + 600t.
This linear equation was founded in 1970, so t years will be counted after 1970. If we need to find the population of a village in 1971, we can use t = 1971 - 1970, which is one year. But here we have to find the population of a village in 1970, so the value of time is 0.
Now, putting the value of t.
We will be get,
P(t) = 8000 + 600t.
P(0) = 8000 + 600 × 0.
P = 8000
So, the population of a village in 1970 is 8000.
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A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.31mm. Would this outcome warrant a refund (meaning that it would be unusual)?
The probability that a randomly selected tire will have a depth less than 0.31mm is 0.03.
How to calculate the probability?From the information, the tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm.
The probability that a randomly selected tire will have a depth less than 0.31mm will be:
P(X < 0.31) = P[(Z < (0.31 - 0.99)/0.35]
= P(Z < -1.943)
= 0.025
= 0.03
The probability that a randomly selected tire will have a depth less than 0.31mm is 0.03.
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Find the measurement of the angle indicated for each trapezoid.
The measurement of the angle indicated for each trapezoid is m<B equal to 70.
What is trapezoid shape?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.
Given :
In the trapezoid angle
m<B=11x+15
m<C=19x+15
According to the question,
The trapezoid is a quadrilateral.
The 4 angles of a quadrilateral all equal to 360 degrees.
The angles between parallel lines add up to 180degree due to adjacent angle.
So,
The equation is
m<B+m<C=180
11x+15+19x+15=180
30x+30=180
Subtract 30 from both sides we get,
30x=150
Divide by 30 on both sides we get,
x=5
∴m<B=11x+15=11*5+15
m<B=70
m<C=19x+15=19*5+15
m<C=110
Therefore, the measurement of the angle indicated for each trapezoid is m<B equal to 70.
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a^2 = 225/64
what does a equal
Answer: a=15/8
Step-by-step explanation:
a^2 = 225/64
a=[tex]\frac{\sqrt{225}}{\sqrt{64}}[/tex]
a=15/8
Answer:
1.875 or 15/8
Step-by-step explanation:
a= square root of 224/64
=sqrt(225)/sqrt(64)
=15/8
___,____Find the length of FG and the midpoint of FG. F(5,3) G(-9,7)
The midpoint of a line segment whose end points are (x1, y1) and (x2, y2) has the coordinates (x1+x2)/2; its length is (y1+y2)/2 (-2,5)
Describe a line segment.
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.
in accordance with the stated fact;
(x₁+x₂/2 ;y₁+y₂/2)
(5-9)/2 ;(3+7)/2)
(-2,5)
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Suppose the midpoint of line RT is M=(3,0). If R has the coordinates (-1,-4), what are the coordinates of T?
The coordinates of Point T are (7,4)
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
The [tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
where,
([tex]x_m, y_m[/tex]) = coordinates of the midpoint
([tex]x_1, y_1[/tex]) = coordinates of the first point
([tex]x_2, y_2[/tex]) = coordinates of the second point
So, given that we have a line RT and M is the midpoint of the line RT means M divides the line in two equal segments.
Let coordinates of M be ([tex]x_m, y_m[/tex]) and coordinates of point R be ([tex]x_1, y_1[/tex]) and coordinates of point T be ([tex]x_2, y_2[/tex]).
So,
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
[tex](3, 0) = (\frac{-1+x_2}{2}, \frac{-4+y_2}{2})[/tex]
on compairing both sides
[tex]3 = \frac{-1 + x_2}{2} \\x_2 - 1 = 6 \\ x_2 = 7[/tex]
Similarly,
[tex]0 = \frac{-4 + y_2}{2} \\y_2 - 4 = 0 \\ y_2 = 4[/tex]
So, the line RT having midpoint M has coordinates of R is (-1,-4) and
T is = (7,4).
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The coordinates of Point T are (7,4)
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
The [tex](x_m,y_m)=(\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2})\\[/tex]
where,
([tex]x_m,y_m[/tex]) = coordinates of the midpoint
([tex]x_1,y_1[/tex]) = coordinates of the first point
([tex]x_2,y_2[/tex]) = coordinates of the second point
So, given that we have a line RT and M is the midpoint of the line RT means M divides the line in two equal segments.
Let coordinates of M be ([tex]x_m,y_m[/tex]) and coordinates of point R be () and coordinates of point T be ([tex]x_2,y_2[/tex]).
[tex](x_m,y_m)=(\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2})\\[/tex]
[tex](3,0)=(\frac{(-1+x_2)}{2},\frac{(-4+y_2)}{2})\\[/tex]
So, on compairing both sides
[tex]3=\frac{(-4+y_2)}{2}[/tex]
[tex]x_2-1=6\\x_2=7[/tex]
Similarly,
[tex]0=\frac{-4+y_2}{2}\\ y_2-4=0\\\\y_2=4[/tex]
So, the line RT having midpoint M has coordinates of R is (-1,-4) and coordinates of T is = (7,4).
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How to write three hundred eight and sixty thousandths in decimal number
Given numbers in the form of the decimal number are:
0.3080.060What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Decimal refers to the base-10 number system, which is probably the most widely used number system. There are ten single-digit numbers in the decimal number system: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following 9 is 10. The number following 19 is 20, and so on.Decimal numbers:
Three hundred eight thousandths ⇒ 308/1000 ⇒ 0.308Sixty thousandths ⇒ 60/1000 ⇒ 0.060Therefore, given numbers in the decimal numbers form are:
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What are the coordinates of G after it is translated LEFT 4 UNITS AND UP 3
UNITS?
The coordinates are (-4,3).
Glad to help.
Mark me Brainliest. :)
The shifted point G when translated to left 4 units and up 3 units has coordinate ( -8, 6).
What are the types of translation?Rotation, translation, Reflection, and Dilation are the four types of translation.
Assuming the square boxes of the paper graph are 1 sq unit means each side is 1 unit.
Now by counting we can conclude that before shifting the point has an x coordinate of - 4 units and a y coordinate of 3 units.
∴ The coordinates of the points are (-4, 3).
Now it has been shifted left 4 units and up 3 units, We know going towards left is negative on the x coordinate and going towards up is positive on the y coordinate.
So, points after the translation is (-4 -4, 3+3) = (-8,6)
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Samuel has $80 in his savings account before he makes a deposit of $100. After 2 weeks, he withdraws $100. How did Samuel’s savings account balance change?
There is a no change in the saving account balance because Amount after withdrawing = Amount before deposit the money.
According to the statement
We have to find that the changes in the Samuel’s savings account balance.
So, For this purpose, we know that the
Deposit amount is an amount of money paid into an account.
From the given information:
Samuel has $80 in his savings account before he makes a deposit of $100. After 2 weeks, he withdraws $100.
Then
Amount before deposit the money = $80
Amount deposited = $100
Then
Total amount after deposited = $100+80
Total amount after deposited = $180
Then
Amount After withdrawing = $180 - 100
Amount after withdrawing = $80
Then
We see that the
Amount after withdrawing = Amount before deposit the money
It means there is a no change in the saving account balance.
So, There is a no change in the saving account balance because Amount after withdrawing = Amount before deposit the money.
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a number multiplied by 37
in algebraic expression
The algebraic expression for a number multiplied by 37 is 37 x M.
Given,
A number multiplied by 37.
We need to write it in an algebraic expression.
What is an algebraic expression?The commonly used algebraic expressions are:
Multiplication = x
Sum = Addition = +
Subtraction = -
Division = ÷
Example:
Sum of A and B: A + B
Find the algebraic expression.
We have,
A number multiplied by 37.
Let the number be M.
Multiplied means x.
= 37 x M
Thus the algebraic expression for a number multiplied by 37 is 37 x M.
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Solve for the variable. Enter only a number for your answer. (Not x= ...
9+x=-4
I
Question 3
1 p solve for the variable
Your response's numerical variable is x=-13.
What does a math variable mean?Variable, A symbol (often a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).
How would you define algebra?Mathematical expressions are used to represent situations or problems in algebra, a branch of mathematics. We use integers with fixed or definite values in algebra, such 2, 7, 0.068, etc. In algebra, we mix variables like x, y, and z with numbers.
accordance with the data provided;
the equation is 9+x=-4
x+9=-4
(x+9)+(-9)=-4+(-9)
x+9-9=-4-9
x=-13
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An individual borrowed $78,000 at an APR of 6%, which will be paid off with monthly payments of $503 for 25 years.
Based on the amount that the individual is paying monthly, the total amount that will be paid over the full term of the loan is $150,900
How much will be paid in total?The amount that the individual will pay in total over the loan's full term can be found to be:
= Amount paid per month x Number of years x number of months per year
Solving gives:
= 503 x 25 x 12
= 503 x 300
= $150,900
In conclusion the total amount paid is $150,900.
The rest of the question is:
What is the total amount paid over the full term of the loan?
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A bird flies at the top speed of 20,000 meters per hour. The bird flies 30,000 meter without stopping. for how many hours did the bird fly if it flew at top speed
Answer:
1 hour and 30 minutes
Step-by-step explanation:
I think this because it said his top speed was 20,000 and he flew 30,000 if you add another 20,000 to the 20,000 he flew in 30,000 you would get 40,000 which is 2 hours so 1 hour and 30 min. Hope it Helped!
A rectangular garden has an area of 46 1/2 square feet. If the garden is
7½ feet long, how many feet wide is it?
Answer:
The answer is 6 1/5 feet in width.
Step-by-step explanation:
Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.
Best of luck with whatever this is for!~
What is the value of the expression when y=5 and z=4? (4y+9z)
Hey there!
(4y + 9z)
= 4y + 9z
= 4(5) + 9(4)
= 20 + 36
= 56
Therefore, your answer should be: 56
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Anyone know the answer
Answer: 5
Step-by-step explanation:
4^2 + 3^2= c^2
16+9=c^2
25=c^2
sqrt both sides
c=5
witch if the following numbers is best represented by the point N?
Answer:
C. 6.39
its right behind 6.4, therefore it's 6.39.