Answers
Note that because the graph is slightly deformed to the left, it is impossible to work out the exact bearing. Below, however, are steps on how to get the bearing of a map.
How do you work the bearings of a map?Calculate the angle clockwise from north to determine a bearing. Begin with the first site by drawing a vertical line symbolizing north. Draw a line from the starting point to the ending point. Calculate the clockwise angle formed by the north line and this line.
When measuring a bearing, three principles must be followed:
Always determine the angle counterclockwise.Always evaluate the angle from north to south.Always use a three-figure bearing (for example, 030° instead than 30°).Note that a bearing is an angle in degrees calculated clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.
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Related Questions
< GRADES / 2022 RATIOS AND PROPORTIONS UNIT TEST Q21
21
What percent represents the shaded part of the hundredths grid shown?
Answers
Answer: A) 0.05%
Step-by-step explanation: Converting the shaded area of the hundredths grid to a fraction would be 5/100 (or 1/20 simplified). Then convert 5/100 to a percentage by calculating 5 ÷ 100, which is 0.005%, therefor the answer is A.
Kenya went to the convenience store to buy some snacks. She spent a total of $12. 00 on soda and candy. The soda cost $3. 00 and each candy bar cost $1. 50. If kenya bought one soda, how many candy bars did kenya buy?.
Answers
The number of candy bar that she bought is 6
The total amount that she spend for soda and candy= $12
The cost of one soda = $3
The cost of one candy bar = $1.50
Number of soda that she bought = 1
Consider the number of candy bar that she bought as x
Then the equation will be
3×1 + 1.50 × x = 12
Multiply the terms
3 + 1.50x = 12
Move 3 to right hand side of the equation
1.50x = 12 - 3
1.50x = 9
Move 1.50 to the right hand side of the equation
x = 9 / 1.50
x = 6
Hence, the number of candy bar that she bought is 6
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Find the perimeter of triangle ABC. Round your answer to two decimal places.
Answers
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-7}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) ~\hfill AB=\sqrt{(~~ 3- (-7)~~)^2 + (~~ -8- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 10)^2 + ( -10)^2} \implies \boxed{AB=\sqrt{ 200 }}[/tex]
[tex]B(\stackrel{x_1}{3}~,~\stackrel{y_1}{-8})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-9}) ~\hfill BC=\sqrt{(~~ -4- 3~~)^2 + (~~ -9- (-8)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( -7)^2 + ( -1)^2} \implies \boxed{BC=\sqrt{ 50 }} \\\\\\ C(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-9})\qquad A(\stackrel{x_2}{-7}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -7- (-4)~~)^2 + (~~ 2- (-9)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (11)^2} \implies \boxed{CA=\sqrt{ 130 }} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\LARGE perimeter}}{\sqrt{200}~~ + ~~\sqrt{50}~~ + ~~\sqrt{130}} ~~ \approx ~~ \text{\LARGE 32.61}[/tex]
A pirate ship found a treasure chest that contained 127 gold coins and 253 silver coins. If there are 38 pirates on the ship and they split the coins evenly, how many coins did they collect?
A. 10
B. 11
C. 380
D. 418
Answers
The number of coins that the pirates collect is A. 10.
How to calculate the value?From the information, the pirate ship found a treasure chest that contained 127 gold coins and 253 silver coins and there are 38 pirates on the ship.
The number of coins that way person will get will be:
=>Total coins / Number of pirates
= (253 + 127) / 38
= 380 / 38
= 10
Each person gets 10 coins.
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What is the constant rate of change in this equation? Write only the number as your answer y=5x + 12
Answers
Answer:
The slope (constant rate of change) is 5.
HELP ME PLEASE, I NEED TO FINISH THIS MATH PROBLEM!
Anna is working two summer jobs, making $9 per hour washing cars and $12 per hour landscaping. Last week Anna worked a total of 7 hours and earned a total of $78. Determine the number of hours Anna worked washing cars last week and the number of hours she worked landscaping last week.
ANSWER: ANNA WORKED _____ HOURS WASHING CARS AND ______ HOURS LANDSCAPING.
Answers
Answer: anna worked 4.33repeating hours washing cars and 3.25 hours landscaping
Step-by-step explanation:
i personally used a guess and check method.
i multiplied 9(hourly wage for washing cars) and 4.33repeating(number of hours) = 39
i multiplied 12(hourly wage landscaping) and 3.25(number of hours) = 39
39 + 39 = $78
Find the equation of the parabola with the given x-intercepts and point on the graph. Use y = a(x-p)(x-q).
1. x-int: (-2,0) , (5,0)
P (3,6)
Answers
Answer:
Below
Step-by-step explanation:
a(x-p)(x-q) p = -2 q = 5
a ( x- - 2)(x - 5) sub in the values of the point given (3,6) to calculate 'a'
6 = a (3+2)(3-5)
a = -6 /10 = - 3/5
y = -3/5 (x+2)(x-5)
Answer:
[tex]\textsf{Intercept form}: \quad y=-\dfrac{3}{5}(x+2)(x-5)[/tex]
[tex]\textsf{Standard form}: \quad y=-\dfrac{3}{5}x^2+\dfrac{9}{5}x+6[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]
If the x-intercepts are (-2, 0) and (5, 0) then:
p = -2q = 5Substitute the values of p and q into the formula:
[tex]\implies y=a(x-(-2))(x-5)[/tex]
[tex]\implies y=a(x+2)(x-5)[/tex]
To find a, substitute the given point on the curve P (3, 6) into the equation:
[tex]\implies 6=a(3+2)(3-5)[/tex]
[tex]\implies 6=a(5)(-2)[/tex]
[tex]\implies 6=-10a[/tex]
[tex]\implies a=\dfrac{6}{-10}[/tex]
[tex]\implies a=-\dfrac{3}{5}[/tex]
Substitute the found value of a into the equation:
[tex]\implies y=-\dfrac{3}{5}(x+2)(x-5)[/tex]
Expand to write the equation in standard form:
[tex]\implies y=-\dfrac{3}{5}(x^2-3x-10)[/tex]
[tex]\implies y=-\dfrac{3}{5}x^2+\dfrac{9}{5}x+6[/tex]
find the annual salary of a person who is paid $835.50 per week
Answers
Answer:
43446
Step-by-step explanation:
52 weeks in an year
835.5 × 52 = 43446
Use a quadratic equation to find two real numbers with a sum of 31 and a product of 210?
Answers
The quadratic equation whose sum of two real roots is 31 and product is 210 will be [tex]x^{2} -31x+210 = 0[/tex].
According to the question,
We have the following information:
The sum of roots of a quadratic equation = 31
The product of roots of a quadratic equation = 210
We know that the standard form of the quadratic equation is given as follows:
[tex]ax^{2} +bx+c = 0[/tex]
Now, the sum of roots is -b/a and the product of roots is c/a.
So, we have the following expressions:
-b/a = 31
b = -31 and a = 1
c/a = 210
c = 210 and a = 1
So, the equation will be:
[tex]x^{2} -31x+210 = 0[/tex]
Hence, the quadratic equation whose sum of two real roots is 31 and product is 210 will be [tex]x^{2} -31x+210 = 0[/tex].
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1. Find the y-intercept of the line paing through the point A (3, -2) and B (-1, 3). (5 pt)
Answers
help please!!! asap!
Answers
Answer:
The registration fee is $28
Step-by-step explanation:
5,600/100=56 which is 1% of 5,600.
56/2=28 which is 0.5% of 5,600.
;)
Answer: $28
Step-by-step explanation:
you calculate what 0.5 percent is of 5,600 :)
Does y vary directly with x? If it does, what is an equation for the direct variation?
Answers
The variable y varies directly with x and the variation equation is (b) y = -1/2x
How to determine the equation of the variation?The graph represents the given parameter
On the graph, we can see that:
The values of x are divided by -2 to get y
This means that the graph represents a direct variation
Recall that we stated that:
The values of x are divided by -2 to get y
This means that the constant of variation is -1/2
The direct variation equation is represented as:
y = kx
Where k represents the constant of variation i.e. k = -1/2
Substitute the known values in the above equation So, we have the following equation
y = -1/2x
Hence, the equation of variation is y = -1/2x
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The pharmacists milkweed concoction didn’t work. It only gave the queen split ends. However, the queen, in a rare kind hearted moment, agreed to let the pharmacist try again. This time he has decided to combine a mixture 50% sorghum with a mixture containing 75% sorghum to create a 10 ounce mixture containing 60% sorghum. How many ounces of the 50% mixture should the pharmacist use?
Answers
The ounces of the 50% mixture that the pharmacist should use is 6 ounce.
How to calculate the ounces?From the information, we need two equations to solve this problem.
equation 1:
x + y = 10
equation 2:
.5x + .75y = 10(.6)
set y = 10 - x
.5x + .75(10-x) = 6
.5x + 7.5 - .75x = 6
.5x -.75x = 6 - 7.5
-.25x = -1.5
Divide
x = -1.5/-.25
x = 6
Therefore, 6 ounce of the 50% sorghum are required.
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For each of the six plots, identify the strength of the relationship (e.g. weak, moderate, or strong) in the data and whether fitting a linear model would be reasonable. a. strong relationship, a linear model would NOT be reasonable b. strong relationship, a linear model would NOT be reasonable c. strong relationship, a linear model would be reasonable d. weak relationship, a linear model would be reasonable e. weak relationship, a linear model would NOT be reasonablelX f. moderate relationship, a linear model would be reasonable
Answers
The strength and relationships of the given data is verified as reasonable.
Given,
Determine the degree of the link (weak, moderate, or strong) in each of the six plots and if it is reasonable to fit a linear model to the data.
(a) There is a moderate relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.
(b) There is a strong relationship in the data. A linear model should be reasonable.
→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.
(c) There is a weak relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.
(d) There is a moderate relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.
(e) There is a strong relationship in the data. A linear model should be reasonable.
→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.
(f) There is a weak relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.
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In this problem we determine the first time after 10 o'clock at which the minute hand and the hour hand of a clock point in the exact same direction ( meaning when they are " on top of" each other). See if you can find the time on your own before reading the following steps. ( Assume that both hands move continously. For example, from 10 o'clock to 11 o'clock, the hour hand smoothly and gradually moves from pointing at the 10 to pointing at the 11.)
a) Let m be the number of mintues after 10 o'clock at which the minuet hand and hour hand are pointing in the same direction. In terms of m, trhough what fraction of hte entire face of the clock has the minute hand traveled during the m minutes after 10 o'clock?
b) In terms of m, what fraction of hte distance from 10 to 11 has the hour hand traveled during the m minutes after 10 o'clock?
c) Trough what farction of the entire clock's face doe sthe hour hand travel during the m minutes after 10 o'clock?
d) At what exact time do the minute hand and hour hand point in the same direction?
( GIVE BRAINLIST IF CORRECT AND ANSWER!! )
Answers
Answer:
a) 1:25 b) 2:06 c) 5:00 d) 4:10
Step-by-step explanation:
Q2.
I am thinking of two numbers.
The first number is x
The second number is 7.5 more than x.
Write down an expression, in terms of x for the second number.
For the two numbers,
the product is double the sum.
Work out the numbers I could be thinking of.
Give both possible pairs of answers.
Answers
Answer:
second number = (x + 7.5)
Since the product of the two numbers is double of their sum,
x(x + 7.5) = 2(x + x + 7.5)
x² + 7.5x = 2(2x + 7.5)
x² + 7.5x = 4x + 15
x² + 7.5x - 4x - 15 = 0
x² + 3.5x - 15 = 0
∴ x = -6 or 2.5
∴ second number
= -6 + 7.5 or 2.5 + 7.5
= 1.5 or 10
∴ The two numbers that I am thinking of are either -6 and 1.5 or 2.5 and 10.
Jon needs to buy a backpack and several folders for school. If she shops at smart supply, the backpack will cost $45 and folders cost $0.45 each. If she shops at supply Guys, the backpack will cost $50.40 and folders cost 0.15 each. Write and solve an inequality to find the number of folders Jan would need to buy for the Supply Guys to be the cheaper option
Answers
Considering the definition of an inequality, the number of folders Jan would need to buy for the Supply Guys to be the cheaper option is more than 18.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality is true.
Inequality in this caseIn this case, you know that:
If she shops at smart supply, the backpack will cost $45 and folders cost $0.45 each. If she shops at supply Guys, the backpack will cost $50.40 and folders cost 0.15 each.The Supply Guys is the cheaper option.Being "x" the number of folders, the inequality that expresses the previous relationship is
45 + 0.45x > 50.40 + 0.15x
Solving:
0.45x - 0.15x > 50.40 -45
0.30x> 5.4
x> 5.4÷ 0.3
x> 18
Finally, the number of folders Jan would need to buy is more than 18.
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A bank employee notices an abandoned checking account. The bank charges a monthly fee for the account modeled by the function
A(m)=184-8m, where M is in months and A(m) is in dollars.
What is the domain of the function within the context? Use inequality Notation.
Answers
The domain of the function A(m) = 184 - 8m representing the bank charges on monthly fees is m ≤ 23
How to find the domain of the functionThe equation is linear equation in the slope intercept form as
y = mx + c
where
m = slope = -8
c = intercept = 184
x = input variables = m
y = output variables = A(m)
The domain refers to all possible values of m, generally the equation has no restriction for m however for the problem being discussed y should not be negative. hence we solve for m when y = 0
0 = 184 - 8m
8m = 184
m = 23
The maximum value of m is 23 hence the domain is m ≤ 23
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The amount of chlorine needed to treat a wimming
pool i directly proportional to the volume of the pool
Answers
The constant of proportionality for the relationship is 0.002.
We are provided that amount of chlorine needed is directly proportional to the volume of the pool .
So we can formulate the relation as
C = kV ... (1) ( where C = amount of chlorine ,
k = constant of proportionality
V = volume of the pool )
the sample ratio of chlorine to the the volume of pool , we have :
5 : 2500
10 : 5000
15 : 7500
So taking the first sample value and putting it in eqn (1)
we get
5 = k (2500)
therefore,
k = 5/ 2500
k = 0.002
So the constant of proportionality will be 0.002
Similarly if we take the other values also the constant of proportionality will remain the same.
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This is part B to my last question
Answers
The y-intercept of the graph of the function g(n) represents the height of the flower.
We are given:
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)^n
which is an exponential function.
We need to find what the y-intercept of the graph of the function g(n) represents.
We have the exponential function;
g(n) = 10(1.02)^n
where,
x-coordinate of the graph represents the number of days.
y-coordinate of the graph represents the height of the flower.
Thus, the y-intercept of the graph of the function g(n) represents the height of the flower.
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A bookstore had 150 copies of a magazine. Yesterday the bookstore sold 2/5 of these copies. How many copies were sold yesterday
Answers
Answer:
Hi
Step-by-step explanation:
so the question is asking what is 2/5 of 150
if 150 is able to evenly be split up into 5 even parts we can the add two of those parts to get our answer.
does 150 split up into 5 even parts??
hmmm you probably are thinking, 15 does divide by 5 evenly into 3 parts, so we now know that 150 also splits up into 5 even parts of 30 :)
2 time 30 = 60
so there is how to figure out the answer and , the answer 60 :)
Given the points A(-5,-5) and B(7, 1), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 1:5, but not necessary In that order, give two possible coordinates of point P. Graph segment AB and P in the coordinate plane.
Answers
The two coordinates on the segment AB due to internal division are (5,0) and (-3,-4).
What is internal division?
When a point P divides the line joining the two points and the potint P lies in between the two coordinates then the division is internal division. If the point lies outside of the given coordinates then the division is known as external division.
The division is internally because point P lies on the line as given in the question.
The formula for the internal division is as follows:
[tex]X=\frac{mx_1+nx_2}{m+n}\\Y=\frac{my_1+ny_2}{m+n}[/tex]
Since points are A(-5,-5) and B(7,1) hence, [tex]x_1=-5,x_2=7,y_1=-5,y_2=1[/tex] and ratio is 1:5 then [tex]m=1,n=5[/tex].
Substute all value to obtain the coordinates.
[tex]X_1=\frac{1(-5)+5(7)}{1+5}\\X_1=5\\Y_1=\frac{1(-5)+5(1)}{1+5}\\Y_1=0[/tex]
Hence, the first cordinate is (5,0).
As given in the question that the ratio in not necessarily in the order of 1:5 so, consider the ratio is 5:1.
Now, m=5 and n=1.
Again substitute all values in to find the new coordinate.
[tex]X_2=\frac{5(-5)+1(7)}{5+1}\\X_2=-3\\Y_2=\frac{5(-5)+1(1)}{5+1}\\Y_2=-4[/tex]
Hence, another coordinate is (-3,-4).
Hence, the two coordinates on the segment AB due to internal division are (5,0) and (-3,-4).
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help please and thankyou
Answers
The value of x will be 24.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
For a given right triangle, the expression is,
⇒ sin (3x - 7) = cos (x + 1)
Now,
Solve for x as;
The expression is,
⇒ sin (3x - 7) = cos (x + 1)
Since, sin x= cos (90 - x)
So, We get;
⇒ sin (3x - 7) = cos (x + 1)
⇒ cos (90 - (3x - 7)) = cos (x + 1)
⇒ 90 - (3x - 7) = (x + 1)
⇒ 90 - 3x + 7 = x + 1
⇒ 97 - 3x = x + 1
⇒ 97 - 1 = x + 3x
⇒ 96 = 4x
⇒ 4x = 96
⇒ x = 96/4
⇒ x = 24
Thus, The value of x will be 24.
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mario tiene una cinta de 6 m y su amiga beatriz tiene una cinta de 8 m ¿cuantas veces es la longitud de la cinta de mario comparada con la longitud de la cinta de beatriz?
Answers
La cinta de Mario tiene una longitud que es 0.75 veces la longitud de la cinta de Beatriz.
¿Como se comparan las longitudes?
Sabemos que la longitud de la cinta de Mario tiene una longitud de 6 metros, mientras que su amiga Beatriz tiene una cinta de longitud de 8 metros.
Para saber cuantas veces es la longitud de la cinta de mario comparada con la longitud de la cinta de beatriz, tenemos que tomar el cociente entre ambas longitudes, obtendremos:
6m/8m = 0.75
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Riley found a receipt for a pair of jeans for $142.95, tax included. If the sales tax rate was 6%, what was the list price of the jeans? Round your answer to the nearest cent.
Answers
Answer:
$134.86
Step-by-step explanation:
Let the original price before tax be x.
A whole amount is 100% of the amount, so x is 100% of the original price without tax.
The tax rate is 6%, so the tax on x is 6% of x. Add 6% of x to 100% of x, and you have 106% of x. The item plus tax cost 106% of x.
106% of x = $142.95
106/100 × x = 142.95
1.06x = 142.95
x = 142.95/1.06
x = $134.86
Answer: $134.86
If a-b=-5 and ab=0 then find a³-b³
What’s the answer?
Answers
If a - b = -5 and ab = 0 then the value of the expression a³-b³ is -125.
In the question ,
it is given that ,
the value of a - b = -5 and ab = 0
we need to find the value of the expression (a³-b³) ,
we know the identity that a³-b³ = (a - b)(a² + b² + ab)
we first need the value of a² + b² .
given that a - b = -5
squaring both the sides , we get
(a - b)² = 25
a² + b² - 2ab = 25
given ab = 0, so a² + b² = 25
Substituting a² + b² = 25 in the identity a³-b³ = (a - b)(a² + b² + ab) ,
we get ,
a³-b³ = (-5)(25 + 0)
a³-b³ = -5 × 25
a³-b³ = -125
the answer is -125 .
Therefore , If a - b = -5 and ab=0 then the value of the expression a³-b³ is -125.
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What did the king krum call the royal math and science teacher
Answers
Answer: HISFAVORITESUBJECTS
Step-by-step explanation:
9. If XYZ LMN, what is the length of XZ?
Answers
The two triangles are congruent.
So, their corresponding sides will be equal.
So, 2x+5 = 5x-19
3x = 24
x = 8 cm.
So, XZ = 2*8+5 = 21 cm
What translation is made from f(x) → f(x) + 6? sliding it up reflection across the y-axis rotation around the origin reflection across the x-axis
Answers
The translation made from f(x) → f(x) + 6 is sliding it up
what is translation in geometry?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction.
A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Any translation in a Euclidean space is an isometry.
the translation made from f(x) → f(x) + 6 involves moving the graph up 6 units
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Daniela bakes 36 cookies and gives 2 cookies to her friends
Answers
anwser: she has 34 cookies left