The diagram shows the position
of three towns represented by
letters A, B and C.
NA
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.
Answers
Answer:
Step-by-step explanation:
143º I’m not sure
The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
If we extend the line NA and NB
As we can see, line NA and NB are parallel and cut by transversal AB
The angle NBA and BAN' will be equal.
Angle BAN' = 180 - 37 = 143 degree = angle NBA
Angle CBA = 360 - 140 - 143
Angle CBA = 77 degree
Now, applying cos law:
b² = a² + c² - 2ac[cos B]
b² = (8)² + (7)² - 2(8 x 7 x cos77)
b = 9.37 km
To find the measure of the angle A applying sin law:
(sinA)/a = (sinB)/b
sinA = (axsinB)/b
sinA = (8xsin77)/9.37
A = 56.3⁰
Bearing of town C from town A:
α = A + 37⁰
α = 56.3⁰ + 37⁰
α = 93.3⁰
Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
Related Questions
PLEASE HELP I ONLY HAVE A FEW MINUTES LEFT!
Answers
Answer:
help with what
Step-by-step explanation:
Answer: there is nothing to answer, you need a picture or something with the question on it
Step-by-step explanation:
Simplifly 25 : 15:30
Answers
Answer:
5:3:6
Step-by-step explanation:
because I took math
Q11 Ratio and Proportion
3 points
There are some flowers in a shop.
Each flower is either red or yellow.
Each flower is either a tulip or a rose.
For these flowers
number of tulips : number of roses = 6:5
number of red tulips : number of yellow tulips = 3:4
Work out the proportion of the flowers that are red tulips.
Nyour answer
Answers
Answer:
Proportion of the flowers that are red tulips = [tex]\frac{2.57}{11}[/tex]
Step-by-step explanation:
Given - There are some flowers in a shop. Each flower is either red or
yellow. Each flower is either a tulip or a rose. For these flowers
number of tulips : number of roses = 6:5 and number of red tulips :
number of yellow tulips = 3:4
To find - Work out the proportion of the flowers that are red tulips.
Proof -
Let Total number of flowers in a shop = 11x
As given, number of tulips : number of roses = 6:5
⇒Total number of tulips in a shop = [tex]\frac{6}{11}.11x[/tex] = 6x
Total number of roses in a shop = [tex]\frac{5}{11}.11x[/tex] = 5x
Now,
As given, number of red tulips : number of yellow tulips = 3:4
⇒Total number of red tulips = [tex]\frac{3}{7}.6x[/tex] = 2.57x
Total number of yellow tulips = [tex]\frac{4}{7}.6x[/tex] = 3.43x
∴ we get
Proportion of the flowers that are red tulips = [tex]\frac{2.57x}{11x}[/tex] = [tex]\frac{2.57}{11}[/tex]
Carla invests $500 in an account that earns 4% annual interest. In approximately how many years will she have doubled her investment?
A 14
OB. 18
OC 21
OD 24
Answers
Interest is the amount of money added on an amount invested. He have doubled her investment after 18 years
Compound interestThe formula for calculating the compound interest is expressed as
A = P(1+r)^t
Given the following parameters
P = $500
r = 4%= 0.04
A= $1000 (doubled)
Substitute
1000 = 500(1+0.04)^t
2 = 1.04^t
t = ln2/ln1.04
t= 17.67 = 18years
Hence he have doubled her investment after 18 years
Learn more on compound interest here: https://brainly.com/question/24924853
#SPJ1
Pleaseee helppp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
After the math contest, Basil noticed that there were four extra-
large pizzas that were left untouched. In addition, another three
slices of pizza were uneaten. If there were a total of 51 slices of
pizza left, how many slices does an extra-large pizza have?
MATH
CONTEST
3:30
RM
105
EX PIZZA
EX.16. DIZZA
XG. PIZZA
X LG PIZZA
14
12.
15
Answers
Answer:
correct answer = 12
Step-by-step explanation:
the extra large pizza contains = 12 slices of pizza.
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you ☺️
Answer:
An extra large pizza has 12 slices
Answer this question ASAP.
Answers
Answer:
turkey
indonesia
sweden
iceland
Step-by-step explanation:
well turkeys population is going to equal up to 807,450,00
sweden is 9,910,000
iceland equals 335,000
indonesia is 264,000,000
PLEASE HELP ME ASAP! I'll mark brainliest if you're correct!
Answers
Answer:
Step-by-step explanation:
415 [tex]in^{3}[/tex]
Answer:
415 in^3
Step-by-step explanation:
help. pls. i will mark brainliest.
Answers
Answer:
pretty sure its b.
hope this helps!
Answer:
i think its none of the above
Step-by-step explanation:
because it can't be vertical since they need to be on opposite sides
it's not complementary because it doesn't equal to 90
it can't be supplementary because line D is not straight
so that's why i think it's none of the above
FOR 50 POINTS COME ON GUYS!
Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.
Let y represent the area (in square meters) left to paint after x hours.
Which of the following information about the graph of the relationship is given?
Answers
Answer:
Slope and a point that is not an intercept
Let
x ----> the time in hours
y ----> the area (in square meters) left to paint
we know that
Hiro paint at a rate of 8 square meters per hour
The rate is equal to the slope of the linear equation
we have the point (3, 28) ---> After 3 hours of painting, he had 28 square meters left to paint.
therefore
we have
Slope and a point that is not an intercept
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
C - Slope and a point that is not an intercept
Step-by-step explanation:
Khan answer
I need help with this please.
Answers
how many Xs would be placed above 6/10 on a line plot. 1.1 2.3 3. 4 4.2
Answers
Answer:
2
Step-by-step explanation:
Answer:
none bc theres no 6 in the list
Step-by-step explanation:
hope this helps :D
a) The term-to-term rule of a sequence is
MULTIPLY BY 2 and ADD 1
The sequence starts 5 11
Work out the next two terms of the sequence.
b) The term-to-term rule of another sequence is
MULTIPLY BY 2 and ADD 3
The third term of the sequence is 17
17
Work out the first term of the sequence.
Answers
Answer:
a) 5, 11, 23, 47
b) 2, 7, 17
Step-by-step explanation:
a) 5*2+1=11
11*2+1=23
23*2+1=47
b) 17-3 /2 = 7
7-3 /2 = 2
Anyone know the answer to this?
Answers
second one is 215.2
let me know if this doesn’t work :)
The value of Melissa's Jeep is $28,000 and is depreciating at a rate of 14% per year. Use an exponential function to find the value of the Jeep after 6 years. Round to the nearest cent. *
Answers
Answer:
$12,088
Step-by-step explanation:
Value = $28,000
Rate, r = 14% = 0.14
Time = 6 years
Using an exponential function :
A = Pe^-rt
P = initial value
A = final worth
A = 28000*e^-(0.14*6)
A = 28000 * e^-0.84
A = 28000 * 0.4317105
A = 12087.894
Worth after 6 years = $12,088
there 6 more girls than boys in a class there 44 students in the class in all how many boys are there
Answers
Answer: 28 boys and 16 girls
Step-by-step explanation: Divide 44 by 2 to get 22 subtract 22 by 6 to get the girls and add 6 to 22 to get the boys.
Answer:
44% of the students of a class are girls. If the number of girls is 6 less than the number of boys, how many students are there in the class?
let x be the number of boys, so (x - 6) will be number of girls.
total number of students will be boys plus girls : x + (x - 6) = 2x - 6
now 44% are girls which come from formula no. of girls divide by total students into 100: (x - 6)/(2x-6)*100 = 44
by solving we get x = 28 (where x is number of boys)
now x - 6 = 28–6 = 22 (number of girls)
add both we get total number of students = 28 + 22 = 50
Answer = 50
Step-by-step explanation:
This is not the answer this is a example!
HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!
You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.
Which equation can you use to determine whether you have enough pouches for 120 guests?
number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷
Answers
Answer:
you have 26 cups so i think its the 4th one or the 5th one
Step-by-step explanation:
Hope this helps!
What can be the equation for 2 2/5?
Answers
can you find the area for this?
Answers
Answer:
b. is the right answer of your question
Answer:
106.5=0.01065
26.6=0.00266
60.35=0.00266
53.25=0.005325
sin0=? cos0=? tan1=?
Answers
Answer:
See explanations below
Step-by-step explanation:
Sin 0 = x
0 = arcsinx
Since 0 the angle is positive and lies in the 1st and second quadrant, sin 0 = 0 (in the first quadrant)
cos 0 = 1 (by punching the calculator)
tan 1 = 0.0174
All this values can easily be gotten directly from calculators
please help!
i will give brainilest.
Answers
Find (fxg)(a)?thanks !!
Answers
Answer:
12a^2+13a+3
explanation:
multiply:
(3a+1)(4a+3)=(fxg)
12a^2+13a+3
54x+34y=
solve the prob pls
Answers
Answer:
Factor
2 out of 54 x + 34 y
2 ( 27 x + 17 y )
Step-by-step explanation:
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The
distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance
from Denver to Fairbanks to the nearest mile?
please help I will give brainilest.
Answers
Answer:
2437.5 Miles
Step-by-step explanation:
first find how many miles 1 inch is 625/5 = 125
next you multiply 19.5 * 125 = 2437.5 miles
John picked 35 flowers as a gift for his mom.
Kayla picked 25 flowers as a gift for her dad.
How many more flowers did John pick than Kayla?
Answers
Answer:
its 10 I hope it works for you have a good day
You have only $1 bills and $5 bills in your wallet. You have 33 bills worth a total of $93. How many of each type of bill do you have?
Answers
Answer:
you would have 3 1's and 10 9's so sorry if this is wrong
can you guys help me please.
Answers
Answer:
question 1: answer is 4
question 2: answer is 1
Step-by-step explanation:
I NEED HELP ASAPPPP
In square YOLA , RL=5x+28 and RO=8x-11 find the measure of line segment RY
Answers
Answer:
RL=5x+28 and
RO=8X-11
diagonal of square bisect equally the side
:.5x+28=8x-11
11+28=8x-5x
39=3x
x=39/3=13
RY=RL=5x+28=5×13+28=93If the answer is 93, move to S
Find angle x, giving your answer to 1 decimal place.
38°
x
11 cm
8 cm
Answers
Maria solved the equation -5n = -9. Her answer was n = 1. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation.
Answers
The solution to an equation is the true value of the equation
So, Maria's solution is incorrect
The equation is given as:
[tex]-5n = -9[/tex]
And the solution is given as:
[tex]n = 1[/tex]
To determine if her solution is correct, then she needs to substitute her solution in the given equation.
In other words, substitute 1 for n in [tex]-5n = -9[/tex]
[tex]-5 \times 1 = -9[/tex]
Multiply -5 and 1
[tex]-5 = -9[/tex]
The above equation is false.
This is so, because -5 does not equal -9
i,e, [tex]-5 \ne -9[/tex]
Hence, Maria's solution is incorrect
Read more about equation solutions at:
https://brainly.com/question/13729904
