A car leaves its garage and travels for 30km on a bearing of 145, then 10 km on a bearing of 250 Calculate a) the distance travelled from the starting point b) the bearing of the starting point from the car.
Answers
The distance travelled from the starting point is 29 km , the bearing is 344 degree
The missing diagram is attached with the answer.
What is Bearing Angle ?It is the horizontal angle between the object and another object.
It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250
(a) the distance travelled from the starting point
It can be understood from the diagram that
To determine the distance , b is to determined4
By applying Cosine rule
b² = a² +c²-2ac cos[tex]\rm \theta[/tex]
b² = 10² +30² - 2* 30*10 cos75
b² = 100+900 -600* 0.2588
b² = 100-155.2914
b² = 844.7
b = 29 km
Therefore the distance travelled from the starting point is 29 km.
(b) the bearing of the starting point from the car.
To determine the bearing ,
angle C has to be determined
By sine rule
sin C / c = sin B / b
sin C = sin 75 * 30 / 29
sin C = 0.9970
C = sin⁻¹ 0.9970
C = 85.59 degree
angle C = α +70 degree
α = 15.59 degree
Bearing = 70 + 20 + 9 0 + 90+74 = 244 degree
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Related Questions
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answers
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
The band is raising money for their spring trip. they need to raise at
least $1500. earlier in the year, they made $575 on their annual fruit sale.
now they are selling donuts, where they will earn $5 profit for each box
of donuts they sell. which inequality could be used in order to
determine the number of boxes of donuts, d, they must sell in order to
meet their goal?
Answers
The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.
What is the inequality?Here are inequality signs and what they denote:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toTotal amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)
$1500 ≥ $575 + $5d
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X+17=38 which property is included in the justification for the steps used to solve the equation?
Answers
Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation. We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.
Now that we know what we must do to finish this problem let us look how this equation can be solved. When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x. We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.
Subtract 17 from both sides
[tex]x + 17 = 38[/tex][tex]x + (17 - 17) = (38 - 17)[/tex][tex]x = (38 - 17)[/tex][tex]x = 21[/tex]Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality. This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given: x + 17 = 38
Algebraic Properties:
Addition: If a = b, then a + c = b + c
Subtraction: If a = b, then a - c = b - c
Multiplication: If a = b, then ac = bc
Division: If a = b, then a ÷ c = b ÷ c
To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.
This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced.
Subtract 17 from both sides:
x + 17 - 17 = 38 - 17
⟹ x = 21
Therefore, the subtraction property of equality is included in the steps used to solve this equation.
Learn more about the other properties:
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Please help! check attachment. This is grade 11 trigonometry
Answers
[tex]~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan B = \dfrac{AC}{BC}\\\\\\\implies \tan 40^{\circ} = \dfrac{10}{a}\\\\\\\implies a = \dfrac{10}{\tan 40^{\circ}}\\\\\\\implies a= 11.9~ m[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
#1 evaluates to 2
#2 evaluates to 0
#3 evaluates to 10
#4 evaluates to 6
code is HIEA
simplify the numerical expression- cant write it out so i'm using a pic
Answers
Answer:
-38
Step-by-step explanation:
4-(3^4-6^2)+2(3)÷2
=> 4 - (81-36) + 2(3) ÷ 2
=> 4 - 45 + 2(3)÷2
=> 4 - 45 + 6÷2
=> 4 - 45 + 3
=> -41 + 3
=> - 38
hope this helps :)
jeanne barrons has decided to buy a new car. it has a base price of
$21,276.00, options totaling $1,219.80 and a destination charge of $590.00.
while surfing the internet, she learned that the dealer's cost is
approximately 83% of the base price and 80% of the price of the options.
what should barrons estimate as the dealer's cost? (section 9-2) *
o a. $19,224.92
b. $17,659.09
c. $17,500.25
d. $19,430.84
Answers
Answer:
a. $19,224.92
Step-by-step explanation:
The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.
__
cost for base car = 0.83 × $21,276 = $17,659.08
cost for options = 0.80 × $1,219.80 = $975.84
cost for destination charge = $590.00
The sum of the dealer's costs is ...
$17,659.08 +975.84 +590.00 = $19,224.92
Barrons should estimate the dealer's cost to be $19,224.92.
Please I need HELP!!!!!!
Answers
Answer:
I just need points I don't know your answer
Step-by-step explanation:
2/3 b + 5 =20 - b solve for b
Answers
Answer:
b = 9
Step-by-step explanation:
[tex]\frac{2}{3} b + 5 = 20-b\\\frac{2}{3} b+5+b=20-b+b\\\frac{5}{3} b+5=20\\\frac{5}{3} b+5-5=20-5\\\frac{5}{3}b=15\\b= 15*\frac{3}{5} \\b= 9[/tex]
Answer:
[tex]b = 9[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} b + 5 = 20 - b[/tex]
In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.
[tex]\frac{2}{3} b + 5 - 5 = 20 - b - 5[/tex]
Simplify.
[tex]\frac{2}{3} b = 15 - b[/tex]
Add b to both sides.
[tex]\frac{2}{3} b + b = 15 - b + b[/tex]
Simplify.
[tex]\frac{2}{3} b + b = 15[/tex]
Multiply everything by 3 to remove the fractions.
[tex]3(\frac{2}{3}b+b) = 3(15)[/tex]
Simplify.
2b + 3b = 45
Simplify.
5b = 45
Divide 5 from both sides.
5b ÷ 5 = 45 ÷ 5
Simplify.
b = 9
For more information on solving variables, check out the following answers!
https://brainly.com/question/633344https://brainly.com/question/1267151https://brainly.com/question/4207498Graph y = |x| + 2
Please help
Answers
For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.
Graph of modulus of functionsThe parent function for the graph of the modulus is given as g(x) = |x|
For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.
For the graph, there will be s shift down the graph by 2 units from the graph of the parent function as shown;
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Find the function of (0,6), (3,15.8) and (9.5,0)
Answers
The polynomic function that contains the points (0, 6), (3, 15.8) and (9.5, 0) is a quadratic function, whose model is y = -0.600 · x² + 5.066 · x + 6.
How to derive a polynomic function from given points
To determine the coefficients of a polynomic function we must know a set of distinct points, whose number is the same number of coefficients. In this case, we can derive a quadratic function, as quadratic functions have three coefficients:
y = a · x² + b · x + c (1)
Now we substitute x and y in (1) and solve the resulting system of linear equations:
c = 6
9 · a + 3 · b + c = 15.8
90.25 · a + 9.5 · b + c = 0
Whose solution is a ≈ -0.600, b ≈ 5.066 and c = 6.
Remark
The statement is incomplete. The complete form is shown below:
There is a polynomial function. Find the function of (0, 6), (3, 15.8) and (9.5, 0).
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what is 2 1/4 - 5 2/3
Answers
Answer:
-41/12 or -3 5/12
Step-by-step explanation:
4*2 +1 = 9, 5 * 3 + 2 = 17
9/4 - 17/3
27/12 - 68/12
= -41/12 or -3 5/12
+)
Kirsten invested $1000 in an account at an annual-
interest rate of 3%. She made no deposits or
on the account for 5 years. The
withdrawals
interest was compounded annually. Find the
balance in the account, to the nearest cent, at the
end of 5 years.
Answers
Answer:
Kristen will have $1159.27 after 5 years
Step-by-step explanation:
trust in ya boy
Answer:
$ 1159.27
Step-by-step explanation:
1000 ( 1 + .03)^5 = 1159.27
What is the (LCM) of 5/6 and2/5
Answers
Answer:
30
Step-by-step explanation:
[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]
PLEASE HELP ME PICTURE BELOW!!!
Answers
Answer:
corographicia
Step-by-step explanation:
its the right answer
At a basketball game, 45% of people attending were supporting the home team, while 55% were supporting the visiting team. If 1413 people attending the game supported the home team, what was the total number of people attending the game?
Answers
divide the number of people supporting the home team by the percentage supporting the home team.
1413/0.45 = 3140
total people = 3,140
The total number of people attending the basketball game was 3140.
Let's denote the total number of people attending the game as "T."
According to the information given, 45% of the people were supporting the home team. Therefore, the number of people supporting the home team can be calculated as 45% of the total number of people: 0.45 * T.
We are also told that 1413 people supported the home team. So, we can write the equation:
0.45 * T = 1413
Now, let's solve for the total number of people attending the game (T):
T = 1413 / 0.45
T = 3140
Therefore, the total number of people attending the basketball game was 3140.
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What is the range of the function y=3√x+8?
Answers
Answer:
The range will be (-∞,∞)
Step-by-step explanation:
Since there is no number that can make this function undefined or limited to a certain set of values, the range shall be infinite.
Which is the graph of f(x) = 2(3)x?
Answers
Answer:
Step-by-step explanation:
The height of the oak tree is 2.5 meters. what is the height of the oak tree in
inches?
(1 ft. 0.305 m)
show your work!
Answers
Answer:
98.4 inches
Step-by-step explanation:
1 meter is about 3.28 ft, meaning the oak tree is 8.2ft tall. (2.5*3.28)
1 foot is 12 inches, meaning the oak tree is 98.4 in tall. (8.2*12)
The height of the oak tree = 98.42 inches.
Given that,
The height of the oak tree is 2.5 meters
We have to find height of tree in inches.
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that,
1 meter = 39.37
Then to find the height of oak tree in inches
Multiply 2.5 with 39.37
Therefore,
The height of the oak tree in inches = 2.5 x 39.37
= 98.42 inches
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Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.
If n is "the Bumber," which equation could be used to solve for the number?
Answers
Answer:
3(4 + n) = n + 18
n = 3
Step-by-step explanation:
because the sum of 4 and a number is multiplied by three. That equals the number plus 18. N = 3. in the image below are the steps you can take to solve the equation.
what three consecutive odd integers have a sum of 64. show steps please
Answers
There are no such integers. Odd + odd = even, and adding odd to that makes it odd again. But 64 is even.
Put another way, let n be the smallest of the three integers. Then
n + (n + 2) + (n + 4) = 64
3n + 8 = 64
3n = 56
But 3 does not divide 56, so there is no integer solution for n.
Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.
Answers
Answer:
Step-by-step explanation:
We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
A line parallel to y=2x-1 will have the same slope, 2.
We can write y = 2x + b for the new line. We need to find b. We can use the given point in this equation and solve for b:
y = 2x + b
2 = 2(4) + b for (4,2)
2 = 8 + b
x = -6
The parallel line to y=2x-1 that goes through point (4,2) is:
y = 2x-6
See the attached graph.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Parallel lines have the same slope.Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.
Now, figure out the y-intercept, c:y=2x+c
We're given a point: (4, 2).Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.
Now, substitute 2 for y and 4 for x:
[tex]\longmapsto\sf{2=2(4)+c}[/tex]
Simplify!
[tex]\longmapsto\sf{2=8+c}[/tex]
Subtract 8 from both sides of the equal sign:
[tex]\longmapsto\sf{2-8=c}[/tex]
[tex]\longmapsto\sf{-6=c}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Using graphing, what is the approximate solution of this equation? 3xˆ2-6x-4 = -2/x+3 + 1 A. x = .64
B. x = .33
C. x = .18
D. x = 2.60
Answers
Answer: c
Step-by-step explanation:
The required values on the graph, the solution is approximate x = -0.33.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To solve this equation, we can begin by combining like terms on the left-hand side:
3x² - 6x - 4 - 2/x + 3 + 1 = 0
3x² - 6x - 2/x = -3
Next, we can factor out the x term:
x(3x - 2) - 2(3x - 2) = -3
(x - 2)(3x - 2) = -3
Since the equation is equal to -3, we can add 3 to both sides to get:
(x - 2)(3x - 2) + 3 = 0
We can then factor the left-hand side to get:
(x - 2)(3x - 2 + 3) = 0
(x - 2)(3x - 2 + 3) = (x - 2)(3x + 1) = 0
This equation has two solutions: x = 2 and x = -1/3.
Approximating these values on the graph, we see that the solution is approximate x = -0.33.
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__•__=42
__+__=23
Can someone help me solve this?
Answers
Answer:
21 * 2 = 42
21 + 2 = 23
Step-by-step explanation:
well I know that 6 * 7 = 42 so I’m assuming that’s correct
Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.
The first one should be correct.
Maybe try
21 * 2 = 42
21 + 2 = 23
Please I need help asap
Answers
Answer:
Option D - x = 3 3/5
Step-by-step explanation:
Lets make the left side into an improper fraction :
2 2/5 = 12/5
Now let's make both fraction into equivalent ones but with the same denominator :
2/3 = 10/15
12/5 = 36/15
Now we substitute the equivalent values back into the equation :
10/15 × x = 36/15
Now we multiply both sides by 15 to remove the denominators:
10 × x = 36
Now we divide both sides by 10 and simplify :
x = 36/10
x = 18/5
x = 3 3/5
So our answer will be Option D
Hope this helped and brainliest please
What is DE?
Enter your answer as a decimal in the box.
Answers
does someone mind helping me with this question? Thank you!
Answers
Explanation:
Which of the following statements is true concerning ABC below?
10
B
с
OA. ZA is the smallest angle.
OB. ZB is the largest angle.
C. Bis the smallest angle.
OD. ZA is the largest angle.
2
Answers
Answer:
see the attachment photo!
Please Help I Don't Undertand.
Answers
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
Factor the algebraic expression.
18a+15
Answers
Answer: 3(6a+5)
We can confirm this by distributing the 3 back in
3*6a = 18a
3*5 = 15
So 3(6a+5) = 3*6a+3*5 = 18a+15
The process of factoring polynomials like this is basically using the distributive property in reverse.
Answer:
3(6a + 5)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 18a and 15?
It is 3.
2 - What is the highest degree of a that divides evenly into 18a and 15.
It is 1, since a s not in every term.
3 - Multiplying the results above,
The GCF is 3.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3 (18a/3 + 15/3)
3) Simplify each term in parentheses.
3(6a + 5)